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# Recent problems solved by 'AnlytcPhil'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319, >>Next

 Linear-equations/50686: How do you use a graphing calculator to graph the following equation: x2-11x+18. I am assuming by X2 it means x to the second power.1 solutions Answer 33750 by AnlytcPhil(1321)   on 2006-09-04 05:27:56 (Show Source): You can put this solution on YOUR website!```How do you use a graphing calculator to graph the following equation: x2-11x+18. I am assuming by X2 it means x to the second power. I assume you have a TI-82, 83 or 84. If so, 1. Press the " Y= " key If anything is listed after Y1= (or after Y2= or any of the Y's), then press "CLEAR" to get rid of it 2. After Y1= type X²-11X+10 To type the exponent " ² ", use the " x² " key. 3. Press the " WINDOW " key After Xmin= type -10 After Xmax= type 20 After Xscl= type 5 After Ymin= type -25 After Ymax= type 20 After Yscl= type 5 (Leave the resolution set at 1, if your TI has this) 4. Press the " GRAPH " key If this doesn't work, then something else need to be cleared. Post again or email me. Edwin AnlytcPhil@aol.com```
 Word_Problems_With_Coins/50641: This question is from textbook College Algebra Dana inserted eight coins, consisting of dimes and nickels, into a vending machine to purchase a Snickers bar for 55 cents. How many coins of each type did she use? Book answer: 3 dimes, 5 nickels.1 solutions Answer 33706 by AnlytcPhil(1321)   on 2006-09-03 20:04:37 (Show Source): You can put this solution on YOUR website!```Dana inserted eight coins, consisting of dimes and nickels, into a vending machine to purchase a Snickers bar for 55 cents. How many coins of each type did she use? Book answer: 3 dimes, 5 nickels. You can do this with one unknown or with two. With one unknown:P Let x be the number of dimes. Then use the principle: number in 2nd part = total number - number in 1st part number of nickels = total number of coins - number of dimes number of nickels = 8 - x Make this chart: Worth of each coin Number of coins Value DIMES NICKELS Now we know that a dime has worth 10¢ and a nickel has worth 5¢ Worth of each coin Number of coins Value DIMES 10 ¢ NICKELS 5 ¢ Next we fill in the number of coins. We have x dimes and 8-x nickels. So fill these in: Worth of each coin Number of coins Value DIMES 10 ¢ x NICKELS 5 ¢ 8 - x Next we fill in the value of all the dimes by multiplying 10¢ by x dimes, getting 10x ¢, so fill in 10x ¢ under value of the dimes: Worth of each coin Number of coins Value DIMES 10 ¢ x 10x ¢ NICKELS 5 ¢ 8 - x Next we fill in the value of all the nickels by multiplying 5¢ by 8 - x nickels, getting 5(8 - x) ¢, so fill that in under value of the nickels: Worth of each coin Number of coins Value DIMES 10 ¢ x 10x ¢ NICKELS 5 ¢ 8 - x 5(8 - x) ¢ Now we can get our equation by the fact that the two expressions under "value" must total 55¢. So the equation is 10x + 5(8 - x) = 55 Solve that and get x = 3 So there are 3 dimes Since there are 8 - x nickels, this is 8 - 3 or 5 nickels. That's the way using one unknown ----------------------------------- Or, if you want to use two unknowns: >>...Dana inserted eight coins, consisting of dimes and nickels...<< Number of dimes + Number of nickels = Number of coins Translation: D + N = 8 >>...into a vending machine to purchase a Snickers bar for 55 cents...<< Money in the D dimes + Money in the N nickels = Money dropped in machine 10D + 5N = 55 So we have the system of 2 equations in one unknown D + N = 8 10D + 5N = 55 Solve that system of equations and get D = 3, N = 5 ----------------------------- Either method is perfectly correct Edwin```
 Angles/50577: The angle between the equal side of an isosceles triangle is 40.find the other two angles.1 solutions Answer 33640 by AnlytcPhil(1321)   on 2006-09-02 17:42:21 (Show Source): You can put this solution on YOUR website!```The angle between the equal side of an isosceles triangle is 40.find the other two angles. /\ / \ /40° \ / \ /x° x°\ ¯¯¯¯¯¯¯¯¯¯ The base angles of an isosceles triangle are equal, so we can label each of them with the same unknown x°. To get the equation, we use the fact that the sum of the three angles of a triangle always have sum equal to 180°. x° + x° + 40° = 180° x + x + 40 = 180 2x + 40 = 180 2x = 140 x = 70 The other two angles are 70° each. Edwin```
 Polynomials-and-rational-expressions/50573: how do you solve for Y in 2x+y=71 solutions Answer 33639 by AnlytcPhil(1321)   on 2006-09-02 17:34:15 (Show Source): You can put this solution on YOUR website!```how do you solve for y in 2x + y = 7 The idea is to get the equation so that it starts off like this: "y = " 2x + y = 7 Subtract 2x from both sides: 2x + y = 7 - 2x - 2x ----------------- y = 7 - 2x That's it! Edwin```
 Surface-area/50524: Bob and Wendy live in a house in which the floor of every room is a square and covered with identical square tiles. Wendy's room contains 101 tiles more than Bob's room. How many tiles does Wendy's room contain?1 solutions Answer 33608 by AnlytcPhil(1321)   on 2006-09-02 00:48:07 (Show Source): You can put this solution on YOUR website!```Bob and Wendy live in a house in which the floor of every room is a square and covered with identical square tiles. Wendy's room contains 101 tiles more than Bob's room. How many tiles does Wendy's room contain? Let x = the number of tiles along one side of Wendy's room. Then x² = the number of tiles in Wendy's room. Let y = the number of tiles along one side of Bob's room. Then y² = the number of tiles in Bob's room. >>...Wendy's room contains 101 tiles more than Bob's room...<< Translation: x² = y² + 101 x² - y² = 101 (x - y)(x + y) = 101 This says (x - y) and (x + y) are both factors of 101 But 101 is a prime number and thus has only two factors, 1 and 101. Therefore x - y, the smaller one, must equal 1, and x + y, the larger one, must equal 101. So we solve the system of equations: x - y = 1 x + y = 101 and we get x = 51, y = 50 So Wendy's room contains x² or 51² or 2601 tiles and Bob's room contains y² or 50² or 2500 tiles. Edwin```
 Coordinate-system/50494: Find the equation of the line through (1,-5) and (7,1) write the equation in slope intercept form. 1-(-5)/7-1= 6/6 or 1 as the slope, then y=x+b y-(-5)=x+1 y+5=x+1 y=x-4 is this correct?1 solutions Answer 33575 by AnlytcPhil(1321)   on 2006-09-01 16:21:26 (Show Source): You can put this solution on YOUR website!```Find the equation of the line through (1,-5) and (7,1) write the equation in slope intercept form. 1-(-5)/7-1= 6/6 or 1 as the slope, then y=x+b y-(-5)=x+1 y+5=x+1 y=x-4 is this correct? You got the slope correct m = 1 But when you substituted in y - y1 = m(x - x1) y - (-5) = 1(x - 1) y - (-5) = x - 1 <------ you have x + 1 on the right. That's your error. y + 5 = x - 1 y = x - 6 Edwin```
 Exponents/50499: I need help w/ this problem. Much appreciated. : ) Multiply: (x+1)^3 1 solutions Answer 33573 by AnlytcPhil(1321)   on 2006-09-01 16:09:20 (Show Source): You can put this solution on YOUR website!```I need help w/ this problem. Much appreciated. : ) Multiply: (x+1)³ (x + 1)(x + 1)(x + 1) FOIL the second and third parentheses, leaving the first alone: (x + 1)(x² + 2x + 1) Now multiply each of the 2 terms in the first parentheses by each of the 3 terms in the second: x³ + 2x² + x + x² + 2x + 1 Combine like terms: x² + 3x² + 3x + 1 Edwin```
 Equations/50488: Given g(x) = 3x^2 - 2x + 1, find [g(a + h) - g(a)]/h. a. 6a + 3h + 1 b. 6a + 3h - 1 c. 6a + 3h + 2 d. 6a + 3h -2 e. none of these1 solutions Answer 33572 by AnlytcPhil(1321)   on 2006-09-01 15:53:18 (Show Source): You can put this solution on YOUR website!```Given g(x) = 3x^2 - 2x + 1, find [g(a + h) - g(a)]/h. a. 6a + 3h + 1 b. 6a + 3h - 1 c. 6a + 3h + 2 d. 6a + 3h -2 e. none of these First find g(a + h) by plugging in a + h for x in g(x) = 3x² - 2x + 1 g(a + h) = 3(a + h)² - 2(a + h) + 1 g(a + h) = 3(a + h)(a + h) - 2a - 2h + 1 g(a + h) = 3(a² + 2ah + h²) - 2a - 2h + 1 g(a + h) = 3a² + 6ah + 3h² - 2a - 2h + 1 Next find g(a) by plugging in a for x in g(x) = 3x² - 2x + 1 g(a) = 3a² - 2a + 1 Nwxt plug (3a² + 6ah + 2h² - 2a - 2h + 1) for g(a + h) and (3a² - 2a + 1) for g(a) in [g(a + h) - g(a)]/h [g(a + h) - g(a)]/h = [(3a² + 6ah + 2h² - 2a - 2h + 1) - (3a² - 2a + 1)]/h [g(a + h) - g(a)]/h = [3a² + 6ah + 3h² - 2a - 2h + 1 - 3a² + 2a - 1]/h Cancel whatever will add to 0: [g(a + h) - g(a)]/h = [6ah + 3h² - 2h]/h [g(a + h) - g(a)]/h = 6ah/h + 3h²/h - 2h/h Cancel h's in fractions: [g(a + h) - g(a)]/h = 6a + 3h - 2 So the answer is (d) Edwin```
 Permutations/50484: Jasmin is walking a group of six dogs. In how many different orders can the dogs enter the house in single file? (can you give me this equation)1 solutions Answer 33563 by AnlytcPhil(1321)   on 2006-09-01 12:41:10 (Show Source): You can put this solution on YOUR website!```Jasmin is walking a group of six dogs. In how many different orders can the dogs enter the house in single file? (can you give me this equation) Suppose the dogs are {Airedale, Beagle, Collie, Dalmation, Eskimo Dog, Foxhound} There are 6 ways to choose the dog that goes first. For every one of these 6 ways you can choose the first dog, there are 5 remaining ways to choose the dog that goes second. That's 6×5 ways, or 30 ways to choose the first and second dogs. For every one of these 6×5 or 30 ways you can choose the first and second dogs, there are 4 remaining ways to choose the dog that goes third. That's 6×5×4 ways, or 120 ways to choose the first, second, and third dogs. For every one of these 6×5×4 or 120 ways you can choose the first, second and third dogs, there are 3 remaining ways to choose the dog that goes fourth. That's 6×5×4×3 ways, or 360 ways to choose the first, second, third, and fourth dogs. For every one of these 6×5×4×3 or 360 ways you can choose the first, second, third, and fourth dogs, there are 2 remaining ways to choose the dog that goes fifth. That's 6×5×4×3×2 ways, or 720 ways to choose the first, second, third, fourth, and fifth dogs. For every one of these 6×5×4×3×2 or 720 ways you can choose the first, second, third, fourth, and fifth dogs, there is only 1 remaining way to choose the dog that goes sixth. That's 6×5×4×3×2×1 ways, or that's 720 ways to order the dogs in all. That's either 6! (6 factorial) or 6P6, the permutations of 6 things taken 6 at a time, sometimes written P(6,6) The permutation formula is nPr = P(n,r) = n!/(n-r+1)! so 6P6 = P(6,6) = 6!/(6-6+1)! = 6!/1! = 6!/1 = 6! = 6x5x4x3x2x1 = 720 Here are all 720 listed: 1. Airedale, Beagle, Collie, Dalmation, Eskimo dog, Foxhound 2. Airedale, Beagle, Collie, Dalmation, Foxhound, Eskimo dog 3. Airedale, Beagle, Collie, Eskimo dog, Dalmation, Foxhound 4. Airedale, Beagle, Collie, Eskimo dog, Foxhound, Dalmation 5. Airedale, Beagle, Collie, Foxhound, Dalmation, Eskimo dog 6. Airedale, Beagle, Collie, Foxhound, Eskimo dog, Dalmation 7. Airedale, Beagle, Dalmation, Collie, Eskimo dog, Foxhound 8. Airedale, Beagle, Dalmation, Collie, Foxhound, Eskimo dog 9. Airedale, Beagle, Dalmation, Eskimo dog, Collie, Foxhound 10. Airedale, Beagle, Dalmation, Eskimo dog, Foxhound, Collie 11. Airedale, Beagle, Dalmation, Foxhound, Collie, Eskimo dog 12. Airedale, Beagle, Dalmation, Foxhound, Eskimo dog, Collie 13. Airedale, Beagle, Eskimo dog, Collie, Dalmation, Foxhound 14. Airedale, Beagle, Eskimo dog, Collie, Foxhound, Dalmation 15. Airedale, Beagle, Eskimo dog, Dalmation, Collie, Foxhound 16. Airedale, Beagle, Eskimo dog, Dalmation, Foxhound, Collie 17. Airedale, Beagle, Eskimo dog, Foxhound, Collie, Dalmation 18. Airedale, Beagle, Eskimo dog, Foxhound, Dalmation, Collie 19. Airedale, Beagle, Foxhound, Collie, Dalmation, Eskimo dog 20. Airedale, Beagle, Foxhound, Collie, Eskimo dog, Dalmation 21. Airedale, Beagle, Foxhound, Dalmation, Collie, Eskimo dog 22. Airedale, Beagle, Foxhound, Dalmation, Eskimo dog, Collie 23. Airedale, Beagle, Foxhound, Eskimo dog, Collie, Dalmation 24. Airedale, Beagle, Foxhound, Eskimo dog, Dalmation, Collie 25. Airedale, Collie, Beagle, Dalmation, Eskimo dog, Foxhound 26. Airedale, Collie, Beagle, Dalmation, Foxhound, Eskimo dog 27. Airedale, Collie, Beagle, Eskimo dog, Dalmation, Foxhound 28. Airedale, Collie, Beagle, Eskimo dog, Foxhound, Dalmation 29. Airedale, Collie, Beagle, Foxhound, Dalmation, Eskimo dog 30. Airedale, Collie, Beagle, Foxhound, Eskimo dog, Dalmation 31. Airedale, Collie, Dalmation, Beagle, Eskimo dog, Foxhound 32. Airedale, Collie, Dalmation, Beagle, Foxhound, Eskimo dog 33. Airedale, Collie, Dalmation, Eskimo dog, Beagle, Foxhound 34. Airedale, Collie, Dalmation, Eskimo dog, Foxhound, Beagle 35. Airedale, Collie, Dalmation, Foxhound, Beagle, Eskimo dog 36. Airedale, Collie, Dalmation, Foxhound, Eskimo dog, Beagle 37. Airedale, Collie, Eskimo dog, Beagle, Dalmation, Foxhound 38. Airedale, Collie, Eskimo dog, Beagle, Foxhound, Dalmation 39. Airedale, Collie, Eskimo dog, Dalmation, Beagle, Foxhound 40. Airedale, Collie, Eskimo dog, Dalmation, Foxhound, Beagle 41. Airedale, Collie, Eskimo dog, Foxhound, Beagle, Dalmation 42. Airedale, Collie, Eskimo dog, Foxhound, Dalmation, Beagle 43. Airedale, Collie, Foxhound, Beagle, Dalmation, Eskimo dog 44. Airedale, Collie, Foxhound, Beagle, Eskimo dog, Dalmation 45. Airedale, Collie, Foxhound, Dalmation, Beagle, Eskimo dog 46. Airedale, Collie, Foxhound, Dalmation, Eskimo dog, Beagle 47. Airedale, Collie, Foxhound, Eskimo dog, Beagle, Dalmation 48. Airedale, Collie, Foxhound, Eskimo dog, Dalmation, Beagle 49. Airedale, Dalmation, Beagle, Collie, Eskimo dog, Foxhound 50. Airedale, Dalmation, Beagle, Collie, Foxhound, Eskimo dog 51. Airedale, Dalmation, Beagle, Eskimo dog, Collie, Foxhound 52. Airedale, Dalmation, Beagle, Eskimo dog, Foxhound, Collie 53. Airedale, Dalmation, Beagle, Foxhound, Collie, Eskimo dog 54. Airedale, Dalmation, Beagle, Foxhound, Eskimo dog, Collie 55. Airedale, Dalmation, Collie, Beagle, Eskimo dog, Foxhound 56. Airedale, Dalmation, Collie, Beagle, Foxhound, Eskimo dog 57. Airedale, Dalmation, Collie, Eskimo dog, Beagle, Foxhound 58. Airedale, Dalmation, Collie, Eskimo dog, Foxhound, Beagle 59. Airedale, Dalmation, Collie, Foxhound, Beagle, Eskimo dog 60. Airedale, Dalmation, Collie, Foxhound, Eskimo dog, Beagle 61. Airedale, Dalmation, Eskimo dog, Beagle, Collie, Foxhound 62. Airedale, Dalmation, Eskimo dog, Beagle, Foxhound, Collie 63. Airedale, Dalmation, Eskimo dog, Collie, Beagle, Foxhound 64. Airedale, Dalmation, Eskimo dog, Collie, Foxhound, Beagle 65. Airedale, Dalmation, Eskimo dog, Foxhound, Beagle, Collie 66. Airedale, Dalmation, Eskimo dog, Foxhound, Collie, Beagle 67. Airedale, Dalmation, Foxhound, Beagle, Collie, Eskimo dog 68. Airedale, Dalmation, Foxhound, Beagle, Eskimo dog, Collie 69. Airedale, Dalmation, Foxhound, Collie, Beagle, Eskimo dog 70. Airedale, Dalmation, Foxhound, Collie, Eskimo dog, Beagle 71. Airedale, Dalmation, Foxhound, Eskimo dog, Beagle, Collie 72. Airedale, Dalmation, Foxhound, Eskimo dog, Collie, Beagle 73. Airedale, Eskimo dog, Beagle, Collie, Dalmation, Foxhound 74. Airedale, Eskimo dog, Beagle, Collie, Foxhound, Dalmation 75. Airedale, Eskimo dog, Beagle, Dalmation, Collie, Foxhound 76. Airedale, Eskimo dog, Beagle, Dalmation, Foxhound, Collie 77. Airedale, Eskimo dog, Beagle, Foxhound, Collie, Dalmation 78. Airedale, Eskimo dog, Beagle, Foxhound, Dalmation, Collie 79. Airedale, Eskimo dog, Collie, Beagle, Dalmation, Foxhound 80. Airedale, Eskimo dog, Collie, Beagle, Foxhound, Dalmation 81. Airedale, Eskimo dog, Collie, Dalmation, Beagle, Foxhound 82. Airedale, Eskimo dog, Collie, Dalmation, Foxhound, Beagle 83. Airedale, Eskimo dog, Collie, Foxhound, Beagle, Dalmation 84. Airedale, Eskimo dog, Collie, Foxhound, Dalmation, Beagle 85. Airedale, Eskimo dog, Dalmation, Beagle, Collie, Foxhound 86. Airedale, Eskimo dog, Dalmation, Beagle, Foxhound, Collie 87. Airedale, Eskimo dog, Dalmation, Collie, Beagle, Foxhound 88. Airedale, Eskimo dog, Dalmation, Collie, Foxhound, Beagle 89. Airedale, Eskimo dog, Dalmation, Foxhound, Beagle, Collie 90. Airedale, Eskimo dog, Dalmation, Foxhound, Collie, Beagle 91. Airedale, Eskimo dog, Foxhound, Beagle, Collie, Dalmation 92. Airedale, Eskimo dog, Foxhound, Beagle, Dalmation, Collie 93. Airedale, Eskimo dog, Foxhound, Collie, Beagle, Dalmation 94. Airedale, Eskimo dog, Foxhound, Collie, Dalmation, Beagle 95. Airedale, Eskimo dog, Foxhound, Dalmation, Beagle, Collie 96. Airedale, Eskimo dog, Foxhound, Dalmation, Collie, Beagle 97. Airedale, Foxhound, Beagle, Collie, Dalmation, Eskimo dog 98. Airedale, Foxhound, Beagle, Collie, Eskimo dog, Dalmation 99. Airedale, Foxhound, Beagle, Dalmation, Collie, Eskimo dog 100. Airedale, Foxhound, Beagle, Dalmation, Eskimo dog, Collie 101. Airedale, Foxhound, Beagle, Eskimo dog, Collie, Dalmation 102. Airedale, Foxhound, Beagle, Eskimo dog, Dalmation, Collie 103. Airedale, Foxhound, Collie, Beagle, Dalmation, Eskimo dog 104. Airedale, Foxhound, Collie, Beagle, Eskimo dog, Dalmation 105. Airedale, Foxhound, Collie, Dalmation, Beagle, Eskimo dog 106. Airedale, Foxhound, Collie, Dalmation, Eskimo dog, Beagle 107. Airedale, Foxhound, Collie, Eskimo dog, Beagle, Dalmation 108. Airedale, Foxhound, Collie, Eskimo dog, Dalmation, Beagle 109. Airedale, Foxhound, Dalmation, Beagle, Collie, Eskimo dog 110. Airedale, Foxhound, Dalmation, Beagle, Eskimo dog, Collie 111. Airedale, Foxhound, Dalmation, Collie, Beagle, Eskimo dog 112. Airedale, Foxhound, Dalmation, Collie, Eskimo dog, Beagle 113. Airedale, Foxhound, Dalmation, Eskimo dog, Beagle, Collie 114. Airedale, Foxhound, Dalmation, Eskimo dog, Collie, Beagle 115. Airedale, Foxhound, Eskimo dog, Beagle, Collie, Dalmation 116. Airedale, Foxhound, Eskimo dog, Beagle, Dalmation, Collie 117. Airedale, Foxhound, Eskimo dog, Collie, Beagle, Dalmation 118. Airedale, Foxhound, Eskimo dog, Collie, Dalmation, Beagle 119. Airedale, Foxhound, Eskimo dog, Dalmation, Beagle, Collie 120. Airedale, Foxhound, Eskimo dog, Dalmation, Collie, Beagle 121. Beagle, Airedale, Collie, Dalmation, Eskimo dog, Foxhound 122. Beagle, Airedale, Collie, Dalmation, Foxhound, Eskimo dog 123. Beagle, Airedale, Collie, Eskimo dog, Dalmation, Foxhound 124. Beagle, Airedale, Collie, Eskimo dog, Foxhound, Dalmation 125. Beagle, Airedale, Collie, Foxhound, Dalmation, Eskimo dog 126. Beagle, Airedale, Collie, Foxhound, Eskimo dog, Dalmation 127. Beagle, Airedale, Dalmation, Collie, Eskimo dog, Foxhound 128. Beagle, Airedale, Dalmation, Collie, Foxhound, Eskimo dog 129. Beagle, Airedale, Dalmation, Eskimo dog, Collie, Foxhound 130. Beagle, Airedale, Dalmation, Eskimo dog, Foxhound, Collie 131. Beagle, Airedale, Dalmation, Foxhound, Collie, Eskimo dog 132. Beagle, Airedale, Dalmation, Foxhound, Eskimo dog, Collie 133. Beagle, Airedale, Eskimo dog, Collie, Dalmation, Foxhound 134. Beagle, Airedale, Eskimo dog, Collie, Foxhound, Dalmation 135. Beagle, Airedale, Eskimo dog, Dalmation, Collie, Foxhound 136. Beagle, Airedale, Eskimo dog, Dalmation, Foxhound, Collie 137. Beagle, Airedale, Eskimo dog, Foxhound, Collie, Dalmation 138. Beagle, Airedale, Eskimo dog, Foxhound, Dalmation, Collie 139. Beagle, Airedale, Foxhound, Collie, Dalmation, Eskimo dog 140. Beagle, Airedale, Foxhound, Collie, Eskimo dog, Dalmation 141. Beagle, Airedale, Foxhound, Dalmation, Collie, Eskimo dog 142. Beagle, Airedale, Foxhound, Dalmation, Eskimo dog, Collie 143. Beagle, Airedale, Foxhound, Eskimo dog, Collie, Dalmation 144. Beagle, Airedale, Foxhound, Eskimo dog, Dalmation, Collie 145. Beagle, Collie, Airedale, Dalmation, Eskimo dog, Foxhound 146. Beagle, Collie, Airedale, Dalmation, Foxhound, Eskimo dog 147. Beagle, Collie, Airedale, Eskimo dog, Dalmation, Foxhound 148. Beagle, Collie, Airedale, Eskimo dog, Foxhound, Dalmation 149. Beagle, Collie, Airedale, Foxhound, Dalmation, Eskimo dog 150. Beagle, Collie, Airedale, Foxhound, Eskimo dog, Dalmation 151. Beagle, Collie, Dalmation, Airedale, Eskimo dog, Foxhound 152. Beagle, Collie, Dalmation, Airedale, Foxhound, Eskimo dog 153. Beagle, Collie, Dalmation, Eskimo dog, Airedale, Foxhound 154. Beagle, Collie, Dalmation, Eskimo dog, Foxhound, Airedale 155. Beagle, Collie, Dalmation, Foxhound, Airedale, Eskimo dog 156. Beagle, Collie, Dalmation, Foxhound, Eskimo dog, Airedale 157. Beagle, Collie, Eskimo dog, Airedale, Dalmation, Foxhound 158. Beagle, Collie, Eskimo dog, Airedale, Foxhound, Dalmation 159. Beagle, Collie, Eskimo dog, Dalmation, Airedale, Foxhound 160. Beagle, Collie, Eskimo dog, Dalmation, Foxhound, Airedale 161. Beagle, Collie, Eskimo dog, Foxhound, Airedale, Dalmation 162. Beagle, Collie, Eskimo dog, Foxhound, Dalmation, Airedale 163. Beagle, Collie, Foxhound, Airedale, Dalmation, Eskimo dog 164. Beagle, Collie, Foxhound, Airedale, Eskimo dog, Dalmation 165. Beagle, Collie, Foxhound, Dalmation, Airedale, Eskimo dog 166. Beagle, Collie, Foxhound, Dalmation, Eskimo dog, Airedale 167. Beagle, Collie, Foxhound, Eskimo dog, Airedale, Dalmation 168. Beagle, Collie, Foxhound, Eskimo dog, Dalmation, Airedale 169. Beagle, Dalmation, Airedale, Collie, Eskimo dog, Foxhound 170. Beagle, Dalmation, Airedale, Collie, Foxhound, Eskimo dog 171. Beagle, Dalmation, Airedale, Eskimo dog, Collie, Foxhound 172. Beagle, Dalmation, Airedale, Eskimo dog, Foxhound, Collie 173. Beagle, Dalmation, Airedale, Foxhound, Collie, Eskimo dog 174. Beagle, Dalmation, Airedale, Foxhound, Eskimo dog, Collie 175. Beagle, Dalmation, Collie, Airedale, Eskimo dog, Foxhound 176. Beagle, Dalmation, Collie, Airedale, Foxhound, Eskimo dog 177. Beagle, Dalmation, Collie, Eskimo dog, Airedale, Foxhound 178. Beagle, Dalmation, Collie, Eskimo dog, Foxhound, Airedale 179. Beagle, Dalmation, Collie, Foxhound, Airedale, Eskimo dog 180. Beagle, Dalmation, Collie, Foxhound, Eskimo dog, Airedale 181. Beagle, Dalmation, Eskimo dog, Airedale, Collie, Foxhound 182. Beagle, Dalmation, Eskimo dog, Airedale, Foxhound, Collie 183. Beagle, Dalmation, Eskimo dog, Collie, Airedale, Foxhound 184. Beagle, Dalmation, Eskimo dog, Collie, Foxhound, Airedale 185. Beagle, Dalmation, Eskimo dog, Foxhound, Airedale, Collie 186. Beagle, Dalmation, Eskimo dog, Foxhound, Collie, Airedale 187. Beagle, Dalmation, Foxhound, Airedale, Collie, Eskimo dog 188. Beagle, Dalmation, Foxhound, Airedale, Eskimo dog, Collie 189. Beagle, Dalmation, Foxhound, Collie, Airedale, Eskimo dog 190. Beagle, Dalmation, Foxhound, Collie, Eskimo dog, Airedale 191. Beagle, Dalmation, Foxhound, Eskimo dog, Airedale, Collie 192. Beagle, Dalmation, Foxhound, Eskimo dog, Collie, Airedale 193. Beagle, Eskimo dog, Airedale, Collie, Dalmation, Foxhound 194. Beagle, Eskimo dog, Airedale, Collie, Foxhound, Dalmation 195. Beagle, Eskimo dog, Airedale, Dalmation, Collie, Foxhound 196. Beagle, Eskimo dog, Airedale, Dalmation, Foxhound, Collie 197. Beagle, Eskimo dog, Airedale, Foxhound, Collie, Dalmation 198. Beagle, Eskimo dog, Airedale, Foxhound, Dalmation, Collie 199. Beagle, Eskimo dog, Collie, Airedale, Dalmation, Foxhound 200. Beagle, Eskimo dog, Collie, Airedale, Foxhound, Dalmation 201. Beagle, Eskimo dog, Collie, Dalmation, Airedale, Foxhound 202. Beagle, Eskimo dog, Collie, Dalmation, Foxhound, Airedale 203. Beagle, Eskimo dog, Collie, Foxhound, Airedale, Dalmation 204. Beagle, Eskimo dog, Collie, Foxhound, Dalmation, Airedale 205. Beagle, Eskimo dog, Dalmation, Airedale, Collie, Foxhound 206. Beagle, Eskimo dog, Dalmation, Airedale, Foxhound, Collie 207. Beagle, Eskimo dog, Dalmation, Collie, Airedale, Foxhound 208. Beagle, Eskimo dog, Dalmation, Collie, Foxhound, Airedale 209. Beagle, Eskimo dog, Dalmation, Foxhound, Airedale, Collie 210. Beagle, Eskimo dog, Dalmation, Foxhound, Collie, Airedale 211. Beagle, Eskimo dog, Foxhound, Airedale, Collie, Dalmation 212. Beagle, Eskimo dog, Foxhound, Airedale, Dalmation, Collie 213. Beagle, Eskimo dog, Foxhound, Collie, Airedale, Dalmation 214. Beagle, Eskimo dog, Foxhound, Collie, Dalmation, Airedale 215. Beagle, Eskimo dog, Foxhound, Dalmation, Airedale, Collie 216. Beagle, Eskimo dog, Foxhound, Dalmation, Collie, Airedale 217. Beagle, Foxhound, Airedale, Collie, Dalmation, Eskimo dog 218. Beagle, Foxhound, Airedale, Collie, Eskimo dog, Dalmation 219. Beagle, Foxhound, Airedale, Dalmation, Collie, Eskimo dog 220. Beagle, Foxhound, Airedale, Dalmation, Eskimo dog, Collie 221. Beagle, Foxhound, Airedale, Eskimo dog, Collie, Dalmation 222. Beagle, Foxhound, Airedale, Eskimo dog, Dalmation, Collie 223. Beagle, Foxhound, Collie, Airedale, Dalmation, Eskimo dog 224. Beagle, Foxhound, Collie, Airedale, Eskimo dog, Dalmation 225. Beagle, Foxhound, Collie, Dalmation, Airedale, Eskimo dog 226. Beagle, Foxhound, Collie, Dalmation, Eskimo dog, Airedale 227. Beagle, Foxhound, Collie, Eskimo dog, Airedale, Dalmation 228. Beagle, Foxhound, Collie, Eskimo dog, Dalmation, Airedale 229. Beagle, Foxhound, Dalmation, Airedale, Collie, Eskimo dog 230. Beagle, Foxhound, Dalmation, Airedale, Eskimo dog, Collie 231. Beagle, Foxhound, Dalmation, Collie, Airedale, Eskimo dog 232. Beagle, Foxhound, Dalmation, Collie, Eskimo dog, Airedale 233. Beagle, Foxhound, Dalmation, Eskimo dog, Airedale, Collie 234. Beagle, Foxhound, Dalmation, Eskimo dog, Collie, Airedale 235. Beagle, Foxhound, Eskimo dog, Airedale, Collie, Dalmation 236. Beagle, Foxhound, Eskimo dog, Airedale, Dalmation, Collie 237. Beagle, Foxhound, Eskimo dog, Collie, Airedale, Dalmation 238. Beagle, Foxhound, Eskimo dog, Collie, Dalmation, Airedale 239. Beagle, Foxhound, Eskimo dog, Dalmation, Airedale, Collie 240. Beagle, Foxhound, Eskimo dog, Dalmation, Collie, Airedale 241. Collie, Airedale, Beagle, Dalmation, Eskimo dog, Foxhound 242. Collie, Airedale, Beagle, Dalmation, Foxhound, Eskimo dog 243. Collie, Airedale, Beagle, Eskimo dog, Dalmation, Foxhound 244. Collie, Airedale, Beagle, Eskimo dog, Foxhound, Dalmation 245. Collie, Airedale, Beagle, Foxhound, Dalmation, Eskimo dog 246. Collie, Airedale, Beagle, Foxhound, Eskimo dog, Dalmation 247. Collie, Airedale, Dalmation, Beagle, Eskimo dog, Foxhound 248. Collie, Airedale, Dalmation, Beagle, Foxhound, Eskimo dog 249. Collie, Airedale, Dalmation, Eskimo dog, Beagle, Foxhound 250. Collie, Airedale, Dalmation, Eskimo dog, Foxhound, Beagle 251. Collie, Airedale, Dalmation, Foxhound, Beagle, Eskimo dog 252. Collie, Airedale, Dalmation, Foxhound, Eskimo dog, Beagle 253. Collie, Airedale, Eskimo dog, Beagle, Dalmation, Foxhound 254. Collie, Airedale, Eskimo dog, Beagle, Foxhound, Dalmation 255. Collie, Airedale, Eskimo dog, Dalmation, Beagle, Foxhound 256. Collie, Airedale, Eskimo dog, Dalmation, Foxhound, Beagle 257. Collie, Airedale, Eskimo dog, Foxhound, Beagle, Dalmation 258. Collie, Airedale, Eskimo dog, Foxhound, Dalmation, Beagle 259. Collie, Airedale, Foxhound, Beagle, Dalmation, Eskimo dog 260. Collie, Airedale, Foxhound, Beagle, Eskimo dog, Dalmation 261. Collie, Airedale, Foxhound, Dalmation, Beagle, Eskimo dog 262. Collie, Airedale, Foxhound, Dalmation, Eskimo dog, Beagle 263. Collie, Airedale, Foxhound, Eskimo dog, Beagle, Dalmation 264. Collie, Airedale, Foxhound, Eskimo dog, Dalmation, Beagle 265. Collie, Beagle, Airedale, Dalmation, Eskimo dog, Foxhound 266. Collie, Beagle, Airedale, Dalmation, Foxhound, Eskimo dog 267. Collie, Beagle, Airedale, Eskimo dog, Dalmation, Foxhound 268. Collie, Beagle, Airedale, Eskimo dog, Foxhound, Dalmation 269. Collie, Beagle, Airedale, Foxhound, Dalmation, Eskimo dog 270. Collie, Beagle, Airedale, Foxhound, Eskimo dog, Dalmation 271. Collie, Beagle, Dalmation, Airedale, Eskimo dog, Foxhound 272. Collie, Beagle, Dalmation, Airedale, Foxhound, Eskimo dog 273. Collie, Beagle, Dalmation, Eskimo dog, Airedale, Foxhound 274. Collie, Beagle, Dalmation, Eskimo dog, Foxhound, Airedale 275. Collie, Beagle, Dalmation, Foxhound, Airedale, Eskimo dog 276. Collie, Beagle, Dalmation, Foxhound, Eskimo dog, Airedale 277. Collie, Beagle, Eskimo dog, Airedale, Dalmation, Foxhound 278. Collie, Beagle, Eskimo dog, Airedale, Foxhound, Dalmation 279. Collie, Beagle, Eskimo dog, Dalmation, Airedale, Foxhound 280. Collie, Beagle, Eskimo dog, Dalmation, Foxhound, Airedale 281. Collie, Beagle, Eskimo dog, Foxhound, Airedale, Dalmation 282. Collie, Beagle, Eskimo dog, Foxhound, Dalmation, Airedale 283. Collie, Beagle, Foxhound, Airedale, Dalmation, Eskimo dog 284. Collie, Beagle, Foxhound, Airedale, Eskimo dog, Dalmation 285. Collie, Beagle, Foxhound, Dalmation, Airedale, Eskimo dog 286. Collie, Beagle, Foxhound, Dalmation, Eskimo dog, Airedale 287. Collie, Beagle, Foxhound, Eskimo dog, Airedale, Dalmation 288. Collie, Beagle, Foxhound, Eskimo dog, Dalmation, Airedale 289. Collie, Dalmation, Airedale, Beagle, Eskimo dog, Foxhound 290. Collie, Dalmation, Airedale, Beagle, Foxhound, Eskimo dog 291. Collie, Dalmation, Airedale, Eskimo dog, Beagle, Foxhound 292. Collie, Dalmation, Airedale, Eskimo dog, Foxhound, Beagle 293. Collie, Dalmation, Airedale, Foxhound, Beagle, Eskimo dog 294. Collie, Dalmation, Airedale, Foxhound, Eskimo dog, Beagle 295. Collie, Dalmation, Beagle, Airedale, Eskimo dog, Foxhound 296. Collie, Dalmation, Beagle, Airedale, Foxhound, Eskimo dog 297. Collie, Dalmation, Beagle, Eskimo dog, Airedale, Foxhound 298. Collie, Dalmation, Beagle, Eskimo dog, Foxhound, Airedale 299. Collie, Dalmation, Beagle, Foxhound, Airedale, Eskimo dog 300. Collie, Dalmation, Beagle, Foxhound, Eskimo dog, Airedale 301. Collie, Dalmation, Eskimo dog, Airedale, Beagle, Foxhound 302. Collie, Dalmation, Eskimo dog, Airedale, Foxhound, Beagle 303. Collie, Dalmation, Eskimo dog, Beagle, Airedale, Foxhound 304. Collie, Dalmation, Eskimo dog, Beagle, Foxhound, Airedale 305. Collie, Dalmation, Eskimo dog, Foxhound, Airedale, Beagle 306. Collie, Dalmation, Eskimo dog, Foxhound, Beagle, Airedale 307. Collie, Dalmation, Foxhound, Airedale, Beagle, Eskimo dog 308. Collie, Dalmation, Foxhound, Airedale, Eskimo dog, Beagle 309. Collie, Dalmation, Foxhound, Beagle, Airedale, Eskimo dog 310. Collie, Dalmation, Foxhound, Beagle, Eskimo dog, Airedale 311. Collie, Dalmation, Foxhound, Eskimo dog, Airedale, Beagle 312. Collie, Dalmation, Foxhound, Eskimo dog, Beagle, Airedale 313. Collie, Eskimo dog, Airedale, Beagle, Dalmation, Foxhound 314. Collie, Eskimo dog, Airedale, Beagle, Foxhound, Dalmation 315. Collie, Eskimo dog, Airedale, Dalmation, Beagle, Foxhound 316. Collie, Eskimo dog, Airedale, Dalmation, Foxhound, Beagle 317. Collie, Eskimo dog, Airedale, Foxhound, Beagle, Dalmation 318. Collie, Eskimo dog, Airedale, Foxhound, Dalmation, Beagle 319. Collie, Eskimo dog, Beagle, Airedale, Dalmation, Foxhound 320. Collie, Eskimo dog, Beagle, Airedale, Foxhound, Dalmation 321. Collie, Eskimo dog, Beagle, Dalmation, Airedale, Foxhound 322. Collie, Eskimo dog, Beagle, Dalmation, Foxhound, Airedale 323. Collie, Eskimo dog, Beagle, Foxhound, Airedale, Dalmation 324. Collie, Eskimo dog, Beagle, Foxhound, Dalmation, Airedale 325. Collie, Eskimo dog, Dalmation, Airedale, Beagle, Foxhound 326. Collie, Eskimo dog, Dalmation, Airedale, Foxhound, Beagle 327. Collie, Eskimo dog, Dalmation, Beagle, Airedale, Foxhound 328. Collie, Eskimo dog, Dalmation, Beagle, Foxhound, Airedale 329. Collie, Eskimo dog, Dalmation, Foxhound, Airedale, Beagle 330. Collie, Eskimo dog, Dalmation, Foxhound, Beagle, Airedale 331. Collie, Eskimo dog, Foxhound, Airedale, Beagle, Dalmation 332. Collie, Eskimo dog, Foxhound, Airedale, Dalmation, Beagle 333. Collie, Eskimo dog, Foxhound, Beagle, Airedale, Dalmation 334. Collie, Eskimo dog, Foxhound, Beagle, Dalmation, Airedale 335. Collie, Eskimo dog, Foxhound, Dalmation, Airedale, Beagle 336. Collie, Eskimo dog, Foxhound, Dalmation, Beagle, Airedale 337. Collie, Foxhound, Airedale, Beagle, Dalmation, Eskimo dog 338. Collie, Foxhound, Airedale, Beagle, Eskimo dog, Dalmation 339. Collie, Foxhound, Airedale, Dalmation, Beagle, Eskimo dog 340. Collie, Foxhound, Airedale, Dalmation, Eskimo dog, Beagle 341. Collie, Foxhound, Airedale, Eskimo dog, Beagle, Dalmation 342. Collie, Foxhound, Airedale, Eskimo dog, Dalmation, Beagle 343. Collie, Foxhound, Beagle, Airedale, Dalmation, Eskimo dog 344. Collie, Foxhound, Beagle, Airedale, Eskimo dog, Dalmation 345. Collie, Foxhound, Beagle, Dalmation, Airedale, Eskimo dog 346. Collie, Foxhound, Beagle, Dalmation, Eskimo dog, Airedale 347. Collie, Foxhound, Beagle, Eskimo dog, Airedale, Dalmation 348. Collie, Foxhound, Beagle, Eskimo dog, Dalmation, Airedale 349. Collie, Foxhound, Dalmation, Airedale, Beagle, Eskimo dog 350. Collie, Foxhound, Dalmation, Airedale, Eskimo dog, Beagle 351. Collie, Foxhound, Dalmation, Beagle, Airedale, Eskimo dog 352. Collie, Foxhound, Dalmation, Beagle, Eskimo dog, Airedale 353. Collie, Foxhound, Dalmation, Eskimo dog, Airedale, Beagle 354. Collie, Foxhound, Dalmation, Eskimo dog, Beagle, Airedale 355. Collie, Foxhound, Eskimo dog, Airedale, Beagle, Dalmation 356. Collie, Foxhound, Eskimo dog, Airedale, Dalmation, Beagle 357. Collie, Foxhound, Eskimo dog, Beagle, Airedale, Dalmation 358. Collie, Foxhound, Eskimo dog, Beagle, Dalmation, Airedale 359. Collie, Foxhound, Eskimo dog, Dalmation, Airedale, Beagle 360. Collie, Foxhound, Eskimo dog, Dalmation, Beagle, Airedale 361. Dalmation, Airedale, Beagle, Collie, Eskimo dog, Foxhound 362. Dalmation, Airedale, Beagle, Collie, Foxhound, Eskimo dog 363. Dalmation, Airedale, Beagle, Eskimo dog, Collie, Foxhound 364. Dalmation, Airedale, Beagle, Eskimo dog, Foxhound, Collie 365. Dalmation, Airedale, Beagle, Foxhound, Collie, Eskimo dog 366. Dalmation, Airedale, Beagle, Foxhound, Eskimo dog, Collie 367. Dalmation, Airedale, Collie, Beagle, Eskimo dog, Foxhound 368. Dalmation, Airedale, Collie, Beagle, Foxhound, Eskimo dog 369. Dalmation, Airedale, Collie, Eskimo dog, Beagle, Foxhound 370. Dalmation, Airedale, Collie, Eskimo dog, Foxhound, Beagle 371. Dalmation, Airedale, Collie, Foxhound, Beagle, Eskimo dog 372. Dalmation, Airedale, Collie, Foxhound, Eskimo dog, Beagle 373. Dalmation, Airedale, Eskimo dog, Beagle, Collie, Foxhound 374. Dalmation, Airedale, Eskimo dog, Beagle, Foxhound, Collie 375. Dalmation, Airedale, Eskimo dog, Collie, Beagle, Foxhound 376. Dalmation, Airedale, Eskimo dog, Collie, Foxhound, Beagle 377. Dalmation, Airedale, Eskimo dog, Foxhound, Beagle, Collie 378. Dalmation, Airedale, Eskimo dog, Foxhound, Collie, Beagle 379. Dalmation, Airedale, Foxhound, Beagle, Collie, Eskimo dog 380. Dalmation, Airedale, Foxhound, Beagle, Eskimo dog, Collie 381. Dalmation, Airedale, Foxhound, Collie, Beagle, Eskimo dog 382. Dalmation, Airedale, Foxhound, Collie, Eskimo dog, Beagle 383. Dalmation, Airedale, Foxhound, Eskimo dog, Beagle, Collie 384. Dalmation, Airedale, Foxhound, Eskimo dog, Collie, Beagle 385. Dalmation, Beagle, Airedale, Collie, Eskimo dog, Foxhound 386. Dalmation, Beagle, Airedale, Collie, Foxhound, Eskimo dog 387. Dalmation, Beagle, Airedale, Eskimo dog, Collie, Foxhound 388. Dalmation, Beagle, Airedale, Eskimo dog, Foxhound, Collie 389. Dalmation, Beagle, Airedale, Foxhound, Collie, Eskimo dog 390. Dalmation, Beagle, Airedale, Foxhound, Eskimo dog, Collie 391. Dalmation, Beagle, Collie, Airedale, Eskimo dog, Foxhound 392. Dalmation, Beagle, Collie, Airedale, Foxhound, Eskimo dog 393. Dalmation, Beagle, Collie, Eskimo dog, Airedale, Foxhound 394. Dalmation, Beagle, Collie, Eskimo dog, Foxhound, Airedale 395. Dalmation, Beagle, Collie, Foxhound, Airedale, Eskimo dog 396. Dalmation, Beagle, Collie, Foxhound, Eskimo dog, Airedale 397. Dalmation, Beagle, Eskimo dog, Airedale, Collie, Foxhound 398. Dalmation, Beagle, Eskimo dog, Airedale, Foxhound, Collie 399. Dalmation, Beagle, Eskimo dog, Collie, Airedale, Foxhound 400. Dalmation, Beagle, Eskimo dog, Collie, Foxhound, Airedale 401. Dalmation, Beagle, Eskimo dog, Foxhound, Airedale, Collie 402. Dalmation, Beagle, Eskimo dog, Foxhound, Collie, Airedale 403. Dalmation, Beagle, Foxhound, Airedale, Collie, Eskimo dog 404. Dalmation, Beagle, Foxhound, Airedale, Eskimo dog, Collie 405. Dalmation, Beagle, Foxhound, Collie, Airedale, Eskimo dog 406. Dalmation, Beagle, Foxhound, Collie, Eskimo dog, Airedale 407. Dalmation, Beagle, Foxhound, Eskimo dog, Airedale, Collie 408. Dalmation, Beagle, Foxhound, Eskimo dog, Collie, Airedale 409. Dalmation, Collie, Airedale, Beagle, Eskimo dog, Foxhound 410. Dalmation, Collie, Airedale, Beagle, Foxhound, Eskimo dog 411. Dalmation, Collie, Airedale, Eskimo dog, Beagle, Foxhound 412. Dalmation, Collie, Airedale, Eskimo dog, Foxhound, Beagle 413. Dalmation, Collie, Airedale, Foxhound, Beagle, Eskimo dog 414. Dalmation, Collie, Airedale, Foxhound, Eskimo dog, Beagle 415. Dalmation, Collie, Beagle, Airedale, Eskimo dog, Foxhound 416. Dalmation, Collie, Beagle, Airedale, Foxhound, Eskimo dog 417. Dalmation, Collie, Beagle, Eskimo dog, Airedale, Foxhound 418. Dalmation, Collie, Beagle, Eskimo dog, Foxhound, Airedale 419. Dalmation, Collie, Beagle, Foxhound, Airedale, Eskimo dog 420. Dalmation, Collie, Beagle, Foxhound, Eskimo dog, Airedale 421. Dalmation, Collie, Eskimo dog, Airedale, Beagle, Foxhound 422. Dalmation, Collie, Eskimo dog, Airedale, Foxhound, Beagle 423. Dalmation, Collie, Eskimo dog, Beagle, Airedale, Foxhound 424. Dalmation, Collie, Eskimo dog, Beagle, Foxhound, Airedale 425. Dalmation, Collie, Eskimo dog, Foxhound, Airedale, Beagle 426. Dalmation, Collie, Eskimo dog, Foxhound, Beagle, Airedale 427. Dalmation, Collie, Foxhound, Airedale, Beagle, Eskimo dog 428. Dalmation, Collie, Foxhound, Airedale, Eskimo dog, Beagle 429. Dalmation, Collie, Foxhound, Beagle, Airedale, Eskimo dog 430. Dalmation, Collie, Foxhound, Beagle, Eskimo dog, Airedale 431. Dalmation, Collie, Foxhound, Eskimo dog, Airedale, Beagle 432. Dalmation, Collie, Foxhound, Eskimo dog, Beagle, Airedale 433. Dalmation, Eskimo dog, Airedale, Beagle, Collie, Foxhound 434. Dalmation, Eskimo dog, Airedale, Beagle, Foxhound, Collie 435. Dalmation, Eskimo dog, Airedale, Collie, Beagle, Foxhound 436. Dalmation, Eskimo dog, Airedale, Collie, Foxhound, Beagle 437. Dalmation, Eskimo dog, Airedale, Foxhound, Beagle, Collie 438. Dalmation, Eskimo dog, Airedale, Foxhound, Collie, Beagle 439. Dalmation, Eskimo dog, Beagle, Airedale, Collie, Foxhound 440. Dalmation, Eskimo dog, Beagle, Airedale, Foxhound, Collie 441. Dalmation, Eskimo dog, Beagle, Collie, Airedale, Foxhound 442. Dalmation, Eskimo dog, Beagle, Collie, Foxhound, Airedale 443. Dalmation, Eskimo dog, Beagle, Foxhound, Airedale, Collie 444. Dalmation, Eskimo dog, Beagle, Foxhound, Collie, Airedale 445. Dalmation, Eskimo dog, Collie, Airedale, Beagle, Foxhound 446. Dalmation, Eskimo dog, Collie, Airedale, Foxhound, Beagle 447. Dalmation, Eskimo dog, Collie, Beagle, Airedale, Foxhound 448. Dalmation, Eskimo dog, Collie, Beagle, Foxhound, Airedale 449. Dalmation, Eskimo dog, Collie, Foxhound, Airedale, Beagle 450. Dalmation, Eskimo dog, Collie, Foxhound, Beagle, Airedale 451. Dalmation, Eskimo dog, Foxhound, Airedale, Beagle, Collie 452. Dalmation, Eskimo dog, Foxhound, Airedale, Collie, Beagle 453. Dalmation, Eskimo dog, Foxhound, Beagle, Airedale, Collie 454. Dalmation, Eskimo dog, Foxhound, Beagle, Collie, Airedale 455. Dalmation, Eskimo dog, Foxhound, Collie, Airedale, Beagle 456. Dalmation, Eskimo dog, Foxhound, Collie, Beagle, Airedale 457. Dalmation, Foxhound, Airedale, Beagle, Collie, Eskimo dog 458. Dalmation, Foxhound, Airedale, Beagle, Eskimo dog, Collie 459. Dalmation, Foxhound, Airedale, Collie, Beagle, Eskimo dog 460. Dalmation, Foxhound, Airedale, Collie, Eskimo dog, Beagle 461. Dalmation, Foxhound, Airedale, Eskimo dog, Beagle, Collie 462. Dalmation, Foxhound, Airedale, Eskimo dog, Collie, Beagle 463. Dalmation, Foxhound, Beagle, Airedale, Collie, Eskimo dog 464. Dalmation, Foxhound, Beagle, Airedale, Eskimo dog, Collie 465. Dalmation, Foxhound, Beagle, Collie, Airedale, Eskimo dog 466. Dalmation, Foxhound, Beagle, Collie, Eskimo dog, Airedale 467. Dalmation, Foxhound, Beagle, Eskimo dog, Airedale, Collie 468. Dalmation, Foxhound, Beagle, Eskimo dog, Collie, Airedale 469. Dalmation, Foxhound, Collie, Airedale, Beagle, Eskimo dog 470. Dalmation, Foxhound, Collie, Airedale, Eskimo dog, Beagle 471. Dalmation, Foxhound, Collie, Beagle, Airedale, Eskimo dog 472. Dalmation, Foxhound, Collie, Beagle, Eskimo dog, Airedale 473. Dalmation, Foxhound, Collie, Eskimo dog, Airedale, Beagle 474. Dalmation, Foxhound, Collie, Eskimo dog, Beagle, Airedale 475. Dalmation, Foxhound, Eskimo dog, Airedale, Beagle, Collie 476. Dalmation, Foxhound, Eskimo dog, Airedale, Collie, Beagle 477. Dalmation, Foxhound, Eskimo dog, Beagle, Airedale, Collie 478. Dalmation, Foxhound, Eskimo dog, Beagle, Collie, Airedale 479. Dalmation, Foxhound, Eskimo dog, Collie, Airedale, Beagle 480. Dalmation, Foxhound, Eskimo dog, Collie, Beagle, Airedale 481. Eskimo dog, Airedale, Beagle, Collie, Dalmation, Foxhound 482. Eskimo dog, Airedale, Beagle, Collie, Foxhound, Dalmation 483. Eskimo dog, Airedale, Beagle, Dalmation, Collie, Foxhound 484. Eskimo dog, Airedale, Beagle, Dalmation, Foxhound, Collie 485. Eskimo dog, Airedale, Beagle, Foxhound, Collie, Dalmation 486. Eskimo dog, Airedale, Beagle, Foxhound, Dalmation, Collie 487. Eskimo dog, Airedale, Collie, Beagle, Dalmation, Foxhound 488. Eskimo dog, Airedale, Collie, Beagle, Foxhound, Dalmation 489. Eskimo dog, Airedale, Collie, Dalmation, Beagle, Foxhound 490. Eskimo dog, Airedale, Collie, Dalmation, Foxhound, Beagle 491. Eskimo dog, Airedale, Collie, Foxhound, Beagle, Dalmation 492. Eskimo dog, Airedale, Collie, Foxhound, Dalmation, Beagle 493. Eskimo dog, Airedale, Dalmation, Beagle, Collie, Foxhound 494. Eskimo dog, Airedale, Dalmation, Beagle, Foxhound, Collie 495. Eskimo dog, Airedale, Dalmation, Collie, Beagle, Foxhound 496. Eskimo dog, Airedale, Dalmation, Collie, Foxhound, Beagle 497. Eskimo dog, Airedale, Dalmation, Foxhound, Beagle, Collie 498. Eskimo dog, Airedale, Dalmation, Foxhound, Collie, Beagle 499. Eskimo dog, Airedale, Foxhound, Beagle, Collie, Dalmation 500. Eskimo dog, Airedale, Foxhound, Beagle, Dalmation, Collie 501. Eskimo dog, Airedale, Foxhound, Collie, Beagle, Dalmation 502. Eskimo dog, Airedale, Foxhound, Collie, Dalmation, Beagle 503. Eskimo dog, Airedale, Foxhound, Dalmation, Beagle, Collie 504. Eskimo dog, Airedale, Foxhound, Dalmation, Collie, Beagle 505. Eskimo dog, Beagle, Airedale, Collie, Dalmation, Foxhound 506. Eskimo dog, Beagle, Airedale, Collie, Foxhound, Dalmation 507. Eskimo dog, Beagle, Airedale, Dalmation, Collie, Foxhound 508. Eskimo dog, Beagle, Airedale, Dalmation, Foxhound, Collie 509. Eskimo dog, Beagle, Airedale, Foxhound, Collie, Dalmation 510. Eskimo dog, Beagle, Airedale, Foxhound, Dalmation, Collie 511. Eskimo dog, Beagle, Collie, Airedale, Dalmation, Foxhound 512. Eskimo dog, Beagle, Collie, Airedale, Foxhound, Dalmation 513. Eskimo dog, Beagle, Collie, Dalmation, Airedale, Foxhound 514. Eskimo dog, Beagle, Collie, Dalmation, Foxhound, Airedale 515. Eskimo dog, Beagle, Collie, Foxhound, Airedale, Dalmation 516. Eskimo dog, Beagle, Collie, Foxhound, Dalmation, Airedale 517. Eskimo dog, Beagle, Dalmation, Airedale, Collie, Foxhound 518. Eskimo dog, Beagle, Dalmation, Airedale, Foxhound, Collie 519. Eskimo dog, Beagle, Dalmation, Collie, Airedale, Foxhound 520. Eskimo dog, Beagle, Dalmation, Collie, Foxhound, Airedale 521. Eskimo dog, Beagle, Dalmation, Foxhound, Airedale, Collie 522. Eskimo dog, Beagle, Dalmation, Foxhound, Collie, Airedale 523. Eskimo dog, Beagle, Foxhound, Airedale, Collie, Dalmation 524. Eskimo dog, Beagle, Foxhound, Airedale, Dalmation, Collie 525. Eskimo dog, Beagle, Foxhound, Collie, Airedale, Dalmation 526. Eskimo dog, Beagle, Foxhound, Collie, Dalmation, Airedale 527. Eskimo dog, Beagle, Foxhound, Dalmation, Airedale, Collie 528. Eskimo dog, Beagle, Foxhound, Dalmation, Collie, Airedale 529. Eskimo dog, Collie, Airedale, Beagle, Dalmation, Foxhound 530. Eskimo dog, Collie, Airedale, Beagle, Foxhound, Dalmation 531. Eskimo dog, Collie, Airedale, Dalmation, Beagle, Foxhound 532. Eskimo dog, Collie, Airedale, Dalmation, Foxhound, Beagle 533. Eskimo dog, Collie, Airedale, Foxhound, Beagle, Dalmation 534. Eskimo dog, Collie, Airedale, Foxhound, Dalmation, Beagle 535. Eskimo dog, Collie, Beagle, Airedale, Dalmation, Foxhound 536. Eskimo dog, Collie, Beagle, Airedale, Foxhound, Dalmation 537. Eskimo dog, Collie, Beagle, Dalmation, Airedale, Foxhound 538. Eskimo dog, Collie, Beagle, Dalmation, Foxhound, Airedale 539. Eskimo dog, Collie, Beagle, Foxhound, Airedale, Dalmation 540. Eskimo dog, Collie, Beagle, Foxhound, Dalmation, Airedale 541. Eskimo dog, Collie, Dalmation, Airedale, Beagle, Foxhound 542. Eskimo dog, Collie, Dalmation, Airedale, Foxhound, Beagle 543. Eskimo dog, Collie, Dalmation, Beagle, Airedale, Foxhound 544. Eskimo dog, Collie, Dalmation, Beagle, Foxhound, Airedale 545. Eskimo dog, Collie, Dalmation, Foxhound, Airedale, Beagle 546. Eskimo dog, Collie, Dalmation, Foxhound, Beagle, Airedale 547. Eskimo dog, Collie, Foxhound, Airedale, Beagle, Dalmation 548. Eskimo dog, Collie, Foxhound, Airedale, Dalmation, Beagle 549. Eskimo dog, Collie, Foxhound, Beagle, Airedale, Dalmation 550. Eskimo dog, Collie, Foxhound, Beagle, Dalmation, Airedale 551. Eskimo dog, Collie, Foxhound, Dalmation, Airedale, Beagle 552. Eskimo dog, Collie, Foxhound, Dalmation, Beagle, Airedale 553. Eskimo dog, Dalmation, Airedale, Beagle, Collie, Foxhound 554. Eskimo dog, Dalmation, Airedale, Beagle, Foxhound, Collie 555. Eskimo dog, Dalmation, Airedale, Collie, Beagle, Foxhound 556. Eskimo dog, Dalmation, Airedale, Collie, Foxhound, Beagle 557. Eskimo dog, Dalmation, Airedale, Foxhound, Beagle, Collie 558. Eskimo dog, Dalmation, Airedale, Foxhound, Collie, Beagle 559. Eskimo dog, Dalmation, Beagle, Airedale, Collie, Foxhound 560. Eskimo dog, Dalmation, Beagle, Airedale, Foxhound, Collie 561. Eskimo dog, Dalmation, Beagle, Collie, Airedale, Foxhound 562. Eskimo dog, Dalmation, Beagle, Collie, Foxhound, Airedale 563. Eskimo dog, Dalmation, Beagle, Foxhound, Airedale, Collie 564. Eskimo dog, Dalmation, Beagle, Foxhound, Collie, Airedale 565. Eskimo dog, Dalmation, Collie, Airedale, Beagle, Foxhound 566. Eskimo dog, Dalmation, Collie, Airedale, Foxhound, Beagle 567. Eskimo dog, Dalmation, Collie, Beagle, Airedale, Foxhound 568. Eskimo dog, Dalmation, Collie, Beagle, Foxhound, Airedale 569. Eskimo dog, Dalmation, Collie, Foxhound, Airedale, Beagle 570. Eskimo dog, Dalmation, Collie, Foxhound, Beagle, Airedale 571. Eskimo dog, Dalmation, Foxhound, Airedale, Beagle, Collie 572. Eskimo dog, Dalmation, Foxhound, Airedale, Collie, Beagle 573. Eskimo dog, Dalmation, Foxhound, Beagle, Airedale, Collie 574. Eskimo dog, Dalmation, Foxhound, Beagle, Collie, Airedale 575. Eskimo dog, Dalmation, Foxhound, Collie, Airedale, Beagle 576. Eskimo dog, Dalmation, Foxhound, Collie, Beagle, Airedale 577. Eskimo dog, Foxhound, Airedale, Beagle, Collie, Dalmation 578. Eskimo dog, Foxhound, Airedale, Beagle, Dalmation, Collie 579. Eskimo dog, Foxhound, Airedale, Collie, Beagle, Dalmation 580. Eskimo dog, Foxhound, Airedale, Collie, Dalmation, Beagle 581. Eskimo dog, Foxhound, Airedale, Dalmation, Beagle, Collie 582. Eskimo dog, Foxhound, Airedale, Dalmation, Collie, Beagle 583. Eskimo dog, Foxhound, Beagle, Airedale, Collie, Dalmation 584. Eskimo dog, Foxhound, Beagle, Airedale, Dalmation, Collie 585. Eskimo dog, Foxhound, Beagle, Collie, Airedale, Dalmation 586. Eskimo dog, Foxhound, Beagle, Collie, Dalmation, Airedale 587. Eskimo dog, Foxhound, Beagle, Dalmation, Airedale, Collie 588. Eskimo dog, Foxhound, Beagle, Dalmation, Collie, Airedale 589. Eskimo dog, Foxhound, Collie, Airedale, Beagle, Dalmation 590. Eskimo dog, Foxhound, Collie, Airedale, Dalmation, Beagle 591. Eskimo dog, Foxhound, Collie, Beagle, Airedale, Dalmation 592. Eskimo dog, Foxhound, Collie, Beagle, Dalmation, Airedale 593. Eskimo dog, Foxhound, Collie, Dalmation, Airedale, Beagle 594. Eskimo dog, Foxhound, Collie, Dalmation, Beagle, Airedale 595. Eskimo dog, Foxhound, Dalmation, Airedale, Beagle, Collie 596. Eskimo dog, Foxhound, Dalmation, Airedale, Collie, Beagle 597. Eskimo dog, Foxhound, Dalmation, Beagle, Airedale, Collie 598. Eskimo dog, Foxhound, Dalmation, Beagle, Collie, Airedale 599. Eskimo dog, Foxhound, Dalmation, Collie, Airedale, Beagle 600. Eskimo dog, Foxhound, Dalmation, Collie, Beagle, Airedale 601. Foxhound, Airedale, Beagle, Collie, Dalmation, Eskimo dog 602. Foxhound, Airedale, Beagle, Collie, Eskimo dog, Dalmation 603. Foxhound, Airedale, Beagle, Dalmation, Collie, Eskimo dog 604. Foxhound, Airedale, Beagle, Dalmation, Eskimo dog, Collie 605. Foxhound, Airedale, Beagle, Eskimo dog, Collie, Dalmation 606. Foxhound, Airedale, Beagle, Eskimo dog, Dalmation, Collie 607. Foxhound, Airedale, Collie, Beagle, Dalmation, Eskimo dog 608. Foxhound, Airedale, Collie, Beagle, Eskimo dog, Dalmation 609. Foxhound, Airedale, Collie, Dalmation, Beagle, Eskimo dog 610. Foxhound, Airedale, Collie, Dalmation, Eskimo dog, Beagle 611. Foxhound, Airedale, Collie, Eskimo dog, Beagle, Dalmation 612. Foxhound, Airedale, Collie, Eskimo dog, Dalmation, Beagle 613. Foxhound, Airedale, Dalmation, Beagle, Collie, Eskimo dog 614. Foxhound, Airedale, Dalmation, Beagle, Eskimo dog, Collie 615. Foxhound, Airedale, Dalmation, Collie, Beagle, Eskimo dog 616. Foxhound, Airedale, Dalmation, Collie, Eskimo dog, Beagle 617. Foxhound, Airedale, Dalmation, Eskimo dog, Beagle, Collie 618. Foxhound, Airedale, Dalmation, Eskimo dog, Collie, Beagle 619. Foxhound, Airedale, Eskimo dog, Beagle, Collie, Dalmation 620. Foxhound, Airedale, Eskimo dog, Beagle, Dalmation, Collie 621. Foxhound, Airedale, Eskimo dog, Collie, Beagle, Dalmation 622. Foxhound, Airedale, Eskimo dog, Collie, Dalmation, Beagle 623. Foxhound, Airedale, Eskimo dog, Dalmation, Beagle, Collie 624. Foxhound, Airedale, Eskimo dog, Dalmation, Collie, Beagle 625. Foxhound, Beagle, Airedale, Collie, Dalmation, Eskimo dog 626. Foxhound, Beagle, Airedale, Collie, Eskimo dog, Dalmation 627. Foxhound, Beagle, Airedale, Dalmation, Collie, Eskimo dog 628. Foxhound, Beagle, Airedale, Dalmation, Eskimo dog, Collie 629. Foxhound, Beagle, Airedale, Eskimo dog, Collie, Dalmation 630. Foxhound, Beagle, Airedale, Eskimo dog, Dalmation, Collie 631. Foxhound, Beagle, Collie, Airedale, Dalmation, Eskimo dog 632. Foxhound, Beagle, Collie, Airedale, Eskimo dog, Dalmation 633. Foxhound, Beagle, Collie, Dalmation, Airedale, Eskimo dog 634. Foxhound, Beagle, Collie, Dalmation, Eskimo dog, Airedale 635. Foxhound, Beagle, Collie, Eskimo dog, Airedale, Dalmation 636. Foxhound, Beagle, Collie, Eskimo dog, Dalmation, Airedale 637. Foxhound, Beagle, Dalmation, Airedale, Collie, Eskimo dog 638. Foxhound, Beagle, Dalmation, Airedale, Eskimo dog, Collie 639. Foxhound, Beagle, Dalmation, Collie, Airedale, Eskimo dog 640. Foxhound, Beagle, Dalmation, Collie, Eskimo dog, Airedale 641. Foxhound, Beagle, Dalmation, Eskimo dog, Airedale, Collie 642. Foxhound, Beagle, Dalmation, Eskimo dog, Collie, Airedale 643. Foxhound, Beagle, Eskimo dog, Airedale, Collie, Dalmation 644. Foxhound, Beagle, Eskimo dog, Airedale, Dalmation, Collie 645. Foxhound, Beagle, Eskimo dog, Collie, Airedale, Dalmation 646. Foxhound, Beagle, Eskimo dog, Collie, Dalmation, Airedale 647. Foxhound, Beagle, Eskimo dog, Dalmation, Airedale, Collie 648. Foxhound, Beagle, Eskimo dog, Dalmation, Collie, Airedale 649. Foxhound, Collie, Airedale, Beagle, Dalmation, Eskimo dog 650. Foxhound, Collie, Airedale, Beagle, Eskimo dog, Dalmation 651. Foxhound, Collie, Airedale, Dalmation, Beagle, Eskimo dog 652. Foxhound, Collie, Airedale, Dalmation, Eskimo dog, Beagle 653. Foxhound, Collie, Airedale, Eskimo dog, Beagle, Dalmation 654. Foxhound, Collie, Airedale, Eskimo dog, Dalmation, Beagle 655. Foxhound, Collie, Beagle, Airedale, Dalmation, Eskimo dog 656. Foxhound, Collie, Beagle, Airedale, Eskimo dog, Dalmation 657. Foxhound, Collie, Beagle, Dalmation, Airedale, Eskimo dog 658. Foxhound, Collie, Beagle, Dalmation, Eskimo dog, Airedale 659. Foxhound, Collie, Beagle, Eskimo dog, Airedale, Dalmation 660. Foxhound, Collie, Beagle, Eskimo dog, Dalmation, Airedale 661. Foxhound, Collie, Dalmation, Airedale, Beagle, Eskimo dog 662. Foxhound, Collie, Dalmation, Airedale, Eskimo dog, Beagle 663. Foxhound, Collie, Dalmation, Beagle, Airedale, Eskimo dog 664. Foxhound, Collie, Dalmation, Beagle, Eskimo dog, Airedale 665. Foxhound, Collie, Dalmation, Eskimo dog, Airedale, Beagle 666. Foxhound, Collie, Dalmation, Eskimo dog, Beagle, Airedale 667. Foxhound, Collie, Eskimo dog, Airedale, Beagle, Dalmation 668. Foxhound, Collie, Eskimo dog, Airedale, Dalmation, Beagle 669. Foxhound, Collie, Eskimo dog, Beagle, Airedale, Dalmation 670. Foxhound, Collie, Eskimo dog, Beagle, Dalmation, Airedale 671. Foxhound, Collie, Eskimo dog, Dalmation, Airedale, Beagle 672. Foxhound, Collie, Eskimo dog, Dalmation, Beagle, Airedale 673. Foxhound, Dalmation, Airedale, Beagle, Collie, Eskimo dog 674. Foxhound, Dalmation, Airedale, Beagle, Eskimo dog, Collie 675. Foxhound, Dalmation, Airedale, Collie, Beagle, Eskimo dog 676. Foxhound, Dalmation, Airedale, Collie, Eskimo dog, Beagle 677. Foxhound, Dalmation, Airedale, Eskimo dog, Beagle, Collie 678. Foxhound, Dalmation, Airedale, Eskimo dog, Collie, Beagle 679. Foxhound, Dalmation, Beagle, Airedale, Collie, Eskimo dog 680. Foxhound, Dalmation, Beagle, Airedale, Eskimo dog, Collie 681. Foxhound, Dalmation, Beagle, Collie, Airedale, Eskimo dog 682. Foxhound, Dalmation, Beagle, Collie, Eskimo dog, Airedale 683. Foxhound, Dalmation, Beagle, Eskimo dog, Airedale, Collie 684. Foxhound, Dalmation, Beagle, Eskimo dog, Collie, Airedale 685. Foxhound, Dalmation, Collie, Airedale, Beagle, Eskimo dog 686. Foxhound, Dalmation, Collie, Airedale, Eskimo dog, Beagle 687. Foxhound, Dalmation, Collie, Beagle, Airedale, Eskimo dog 688. Foxhound, Dalmation, Collie, Beagle, Eskimo dog, Airedale 689. Foxhound, Dalmation, Collie, Eskimo dog, Airedale, Beagle 690. Foxhound, Dalmation, Collie, Eskimo dog, Beagle, Airedale 691. Foxhound, Dalmation, Eskimo dog, Airedale, Beagle, Collie 692. Foxhound, Dalmation, Eskimo dog, Airedale, Collie, Beagle 693. Foxhound, Dalmation, Eskimo dog, Beagle, Airedale, Collie 694. Foxhound, Dalmation, Eskimo dog, Beagle, Collie, Airedale 695. Foxhound, Dalmation, Eskimo dog, Collie, Airedale, Beagle 696. Foxhound, Dalmation, Eskimo dog, Collie, Beagle, Airedale 697. Foxhound, Eskimo dog, Airedale, Beagle, Collie, Dalmation 698. Foxhound, Eskimo dog, Airedale, Beagle, Dalmation, Collie 699. Foxhound, Eskimo dog, Airedale, Collie, Beagle, Dalmation 700. Foxhound, Eskimo dog, Airedale, Collie, Dalmation, Beagle 701. Foxhound, Eskimo dog, Airedale, Dalmation, Beagle, Collie 702. Foxhound, Eskimo dog, Airedale, Dalmation, Collie, Beagle 703. Foxhound, Eskimo dog, Beagle, Airedale, Collie, Dalmation 704. Foxhound, Eskimo dog, Beagle, Airedale, Dalmation, Collie 705. Foxhound, Eskimo dog, Beagle, Collie, Airedale, Dalmation 706. Foxhound, Eskimo dog, Beagle, Collie, Dalmation, Airedale 707. Foxhound, Eskimo dog, Beagle, Dalmation, Airedale, Collie 708. Foxhound, Eskimo dog, Beagle, Dalmation, Collie, Airedale 709. Foxhound, Eskimo dog, Collie, Airedale, Beagle, Dalmation 710. Foxhound, Eskimo dog, Collie, Airedale, Dalmation, Beagle 711. Foxhound, Eskimo dog, Collie, Beagle, Airedale, Dalmation 712. Foxhound, Eskimo dog, Collie, Beagle, Dalmation, Airedale 713. Foxhound, Eskimo dog, Collie, Dalmation, Airedale, Beagle 714. Foxhound, Eskimo dog, Collie, Dalmation, Beagle, Airedale 715. Foxhound, Eskimo dog, Dalmation, Airedale, Beagle, Collie 716. Foxhound, Eskimo dog, Dalmation, Airedale, Collie, Beagle 717. Foxhound, Eskimo dog, Dalmation, Beagle, Airedale, Collie 718. Foxhound, Eskimo dog, Dalmation, Beagle, Collie, Airedale 719. Foxhound, Eskimo dog, Dalmation, Collie, Airedale, Beagle 720. Foxhound, Eskimo dog, Dalmation, Collie, Beagle, Airedale Do you think I typed all these? No, I had the computer type them all for me. :-) Edwin```
 Graphs/50482: The graph is as follows: x axis left to right is -4 ,-2, 0, 2, 4 y axis bottom to top is the same as the x axis. There is an angular line from -4 x axis to -4 y axis The question reads: The graph represents which inequality?1 solutions Answer 33555 by AnlytcPhil(1321)   on 2006-09-01 11:44:45 (Show Source): You can put this solution on YOUR website!```The graph is as follows: x axis left to right is -4 ,-2, 0, 2, 4 y axis bottom to top is the same as the x axis. There is an angular line from -4 x axis to -4 y axis The question reads: The graph represents which inequality? You are given the graph of this line: First we have to determine what EQUATION this line represents. Then we'll decide from that what INEQUALITY is represented by the graph. The line goes through the points (-4,0) and (0,-4) Therefore its slope is given by the formula: y2 - y1 m = ---------- x2 - x1 where (x1,y1) = (-4,0) and (x2,y2) = (0,-4) (-4) - (0) -4 - 0 -4 m = ------------- = -------- = ---- = -1 (0) - (-4) 0 + 4 4 Then we use the point-slope formula: y - y1 = m(x - x1) y - 0 = -1(x - (-4) ) y = -1(x + 4) y = -x - 4 That's the EQUATION of the LINE only. Now since I cannot see the drawing in your book or assignment, I cannot neither tell whether: A. the line is a dotted line or a solid line nor whether B. the region above the line is shaded or whether the region below the line is shaded. and you didn't tell us. So I'll give you all four possibilities: 1. If the line is DOTTED and the region ABOVE the line is shaded, then the INEQUALITY which represents the shaded region ONLY is y > -x - 4 2. If the line is DOTTED and the region BELOW the line is shaded, then the INEQUALITY which represents the shaded region ONLY is y < -x - 4 3. If the line is SOLID and the region ABOVE the line is shaded, then the INEQUALITY which represents BOTH the shaded region AND the line is y > -x - 4 4. If the line is SOLID and the region BELOW the line is shaded, then the INEQUALITY which represents BOTH the shaded region AND the line is y < -x - 4 Edwin```
 Mixture_Word_Problems/50474: ```My son is in 8th grade and I am trying to help him with math. Please explain a formula to figure these types of problems. Thanks A bike costs \$100 more than a scooter. A scooter costs \$60 more than a skateboard. the total cost of the 3 items is \$310. How much is skateboard? Scooter? Bike?```1 solutions Answer 33531 by AnlytcPhil(1321)   on 2006-09-01 09:48:51 (Show Source): You can put this solution on YOUR website!```My son is in 8th grade and I am trying to help him with math. Please explain a formula to figure these types of problems. Thanks A bike costs \$100 more than a scooter. A scooter costs \$60 more than a skateboard. the total cost of the 3 items is \$310. How much is skateboard? Scooter? Bike? Let the cost of a skateboard = n dollars >>...A scooter costs \$60 more than a skateboard...<< Translation: the cost of a scooter is n+60 dollars >>...A bike cost \$100 more than a scooter...<< Translation: the cost of a bike is (n+60) + 100 >>...the total cost of the 3 items is \$310...<< Translation: skateboard cost + scooter's cost + bike's cost = 310 so equation n + n+60 + n+60 + 100 = 310 Solve for n n + n+60 + n+60 + 100 = 310 Collect like terms on left: 3n + 220 = 310 Subtract 220 from both sides 3n = 90 Divide both sides by 3 n = 30 So a skateboard costs \$30 >>...A scooter costs \$60 more than a skateboard...<< So a scooter costs \$90 >>...A bike cost \$100 more than a scooter...<< So a bike costs \$190 Check: >>...the total cost of the 3 items is \$310...<< \$30 + \$90 + \$190 = \$310 So it's correct. Edwin```
 Quadratic_Equations/50472: factor the following: 1)x squared + 6x + one 2)x squared + 8x + 2 3)x squared - 8 - 5 4)x squared + 12 x + twenty-one 5)x squared + 3 x + 3/2[-1/2, 2] 6)x squared - 2 x + 1/2 7)x to the power of four + 16y 8)4x to the power of four + y to the power of four 9)16x to the power of four z + 4z to the power of five 10)10xz to the power of four + 40x1 solutions Answer 33523 by AnlytcPhil(1321)   on 2006-09-01 09:19:34 (Show Source): You can put this solution on YOUR website!```The first seven cannot be factored, but the last three can be: =============================================== 8)4x to the power of four + y to the power of four 4x4 + y4 Add and subtract 4x2y2 4x4 + 4x2y2 + y4 - 4x2y2 The first three terms can be factored as a perfect square, and the last term is itself a perfect square. (2x2 + y2)2 - (2xy)2 This is the difference of two perfect squares: [(2x2 + y2) - 2xy][(2x2 + y2) + 2xy] Get rid of unnecessary grouping symbols: (2x2 + y2 - 2xy)(2x2 + y2 + 2xy) Arrange in descending powers of x and ascending powers of y (2x2 - 2xy + y2)(2x2 + 2xy + y2) =============================================== 9)16x to the power of four z + 4z to the power of five 16x4z + 4z Factor out GCF 4z 4z{4x4 + 1} Add and subtract 4x2 in the braces 4z{4x4 + 4x2 + 1 - 4x2} The first three terms in braces can be factored as a perfect square, and the last term is itself a perfect square. 4z{(2x2 + 1)2 - (2x)2} The expression in braces is the difference of two perfect squares 4z{[(2x2 + 1) - (2x)][(2x2 + 1) + (2x)] Get rid of unnecessary grouping symbols 4z(2x2 + 1 - 2x)(2x2 + 1 + 2x) Arrange the expressions in parentheses in descending order of x 4z(2x2 - 2x + 1)(2x2 + 2x + 1) =============================================== 10)10xz to the power of four + 40x 10xz4 + 40x Factor out GCF 10x 10x{z4 + 4} Add and subtract 4z2 in the braces 10x{z4 + 4z2 + 4 - 4z2} The first three terms in braces can be factored as a perfect square, and the last term is itself a perfect square. 10x{(z2 + 2)2 - (2z)2} The expression in braces is the difference of two perfect squares 10x{[(z2 + 2) - (2z)][(z2 + 2) + (2z)] Get rid of unnecessary grouping symbols 10x(z2 + 2 - 2z)(z2 + 2 + 2z) Arrange the expressions in parentheses in descending order of z 10x(z2 - 2z + 2)(z2 + 2z + 2) Edwin```
 Inequalities/50454: How would you figure out this compound inequality. 2x-4<6-7x<3x+61 solutions Answer 33510 by AnlytcPhil(1321)   on 2006-08-31 23:08:59 (Show Source): You can put this solution on YOUR website!```How would you figure out this compound inequality. 2x-4 < 6-7x < 3x+6 That means 2x - 4 < 6 - 7x AND 6 - 7x < 3x + 8 9x < 10 AND -10x < 2 x < 10/9 AND x > -1/5 which means that on the number line, x is less than (to the left of) 10/9 on the number line AND greater than (to the right of) -1/5 on the number line, like this: ----------o=============o----------- -1/5 10/9 This can be written -1/5 < x < 10/9 or in interval notation as (-1/5, 10/9) Edwin```
 Polynomials-and-rational-expressions/50448: This question is from textbook Algebra And Trigonometry How do you factor out the common factor of (x-1)^2+6(x-1)?1 solutions Answer 33505 by AnlytcPhil(1321)   on 2006-08-31 21:14:44 (Show Source): You can put this solution on YOUR website!```How do you factor out the common factor of (x-1)² + 6(x-1)? (x-1)² + 6(x-1) Let A = (x-1) Substitute A for (x-1) A² + 6A Factor out A A(A + 6) Change the parentheses to brackets A[A + 6] Now substitute (x-1) for A (x-1)[(x-1) + 6] Remove the parentheses inside the bracket (x-1)[x-1 + 6] Simplify what's inside the right brackets (x-1)[x+5] Change the bracket to parentheses (x-1)(x+5) Edwin```
 Trigonometry-basics/50323: please help me solve the following system equation with three variables!! 2u-3v=13 3v+W=-3 4U-W=21 solutions Answer 33419 by AnlytcPhil(1321)   on 2006-08-30 22:38:05 (Show Source): You can put this solution on YOUR website!``` Line up the equations like this: 2u - 3v = 13 3v + w = -3 4u - w = 2 Eliminate w by adding the second and 3rd equations: 3v + w = -3 4u - w = 2 ----------------- 4u + 3v = -1 Solve the system consisting of this equation and the first original equation: 4u + 3v = -1 2u - 3v = 13 Eliminate v by adding these equations: 4u + 3v = -1 2u - 3v = 13 ------------ 6u = 12 u = 2 Substitute that in 2u - 3v = 13 2(2) - 3v = 13 4 - 3v = 13 -3v = 9 v = -3 Substitute that in 3v + w = -3 3(-3) + w = -3 -9 + w = -3 w = 6 (u, v, w) = (2, -3, 6) Edwin```
 Radicals/50333: I am having a lot of trouble solving this problem. It involves factoring. Here it is: Factor 1/2x^2+x=1 Thank you for your help.1 solutions Answer 33418 by AnlytcPhil(1321)   on 2006-08-30 22:25:07 (Show Source): You can put this solution on YOUR website!```I am having a lot of trouble solving this problem. It involves factoring. Here it is: Solve by factoring: 1/2x² + x = 1 First clear of fractions by multiplying every term by LCD = 2 2(1/2x²) + 2(x) = 2(1) x² + 2x = 2 x² + 2x - 2 = 0 That cannot be solved by factoring because the left side will not factor. Did you copy the equation correctly? Edwin```
 Functions/50327: what is the domain of F in the problem F(x)= the square root of (2x+3)1 solutions Answer 33417 by AnlytcPhil(1321)   on 2006-08-30 22:16:37 (Show Source): You can put this solution on YOUR website!``` What is the domain of F in the problem ____ F(x)= Ö2x+3 ? ----------------------------------------------------- The domain of F is the set of all real numbers that can be substituted in the right side if F(x) and a real number will result. In algebraic equations the only forbidden operations are 1. denominators may not equal 0 2. square roots (or 4th, 6th 8th roots, or any roots of even index) may not be taken of negative numbers. Since 2x+3 is under a square root, it may not be negative, which means it is either positive or 0. "Positive" means "greater than zero", so it's "greater than or equal to zero". 2x + 3 > 0 2x > -3 x > -3/2 So the domain of F is [-3/2, ¥) Edwin```
 Inequalities/50268: Graph the solution of each compound inequality on a number line. y-2<4 and y+4>71 solutions Answer 33406 by AnlytcPhil(1321)   on 2006-08-30 18:36:18 (Show Source): You can put this solution on YOUR website!```Graph the solution of each compound inequality on a number line. The solution given before this is incomplete because you are supposed to combine them on ONE number line: y - 2 < 4 AND y + 4 > 7 Solve the first one: | Solve the second one: | y - 2 < 4 | y + 4 > 7 y < 6 | y > 3 So the simplified version is: y < 6 AND y > 3 ################################################ Draw three number lines, like this: -------------------------------- -2 -1 0 1 2 3 4 5 6 7 8 -------------------------------- -2 -1 0 1 2 3 4 5 6 7 8 -------------------------------- -2 -1 0 1 2 3 4 5 6 7 8 ################################################ Mark the numbers 3 and 6 on all three number lines: ----------------o--------o------ -2 -1 0 1 2 3 4 5 6 7 8 ----------------o--------o------ -2 -1 0 1 2 3 4 5 6 7 8 ----------------o--------o------ -2 -1 0 1 2 3 4 5 6 7 8 ################################################ Label the first number line " y < 6 " Label the second number line " y > 3 " Label the third number line " y < 6 AND y > 3 " y < 6 ----------------o--------o------ -2 -1 0 1 2 3 4 5 6 7 8 y > 3 ----------------o--------o------ -2 -1 0 1 2 3 4 5 6 7 8 y < 6 AND y > 3 ----------------o--------o------ -2 -1 0 1 2 3 4 5 6 7 8 ################################################ Since the first one is y < 6, shade the part left of 6 y < 6 <=========================o------ -2 -1 0 1 2 3 4 5 6 7 8 y > 3 ----------------o--------o------ -2 -1 0 1 2 3 4 5 6 7 8 y < 6 AND y > 3 ----------------o--------o------ -2 -1 0 1 2 3 4 5 6 7 8 ################################################ Since the second one is y > 3, shade the part right of 3: y < 6 <=========================o------ -2 -1 0 1 2 3 4 5 6 7 8 y > 3 ----------------o===============> -2 -1 0 1 2 3 4 5 6 7 8 y < 6 AND y > 3 ----------------o--------o------ -2 -1 0 1 2 3 4 5 6 7 8 ################################################ Now to shade the last number line, we will shade only the part where both the first number line is shaded AND the second one is shaded. Only the part between 3 and 6 is shaded in both the first number line AND the second. So we just shade that part on the third number line: y < 6 <=========================o------ -2 -1 0 1 2 3 4 5 6 7 8 y > 3 ----------------o===============> -2 -1 0 1 2 3 4 5 6 7 8 y < 6 AND y > 3 ----------------o========o------ -2 -1 0 1 2 3 4 5 6 7 8 That last number line is the final answer. Sometimes teachers and books tell you to put parentheses if the end point is included and brackets if it's not included. Neither of these endpoints is included, so the final answer in that case would be like this: y < 6 AND y > 3 ----------------(========)------ -2 -1 0 1 2 3 4 5 6 7 8 Incidentally y > 3 can be rewritten as 3 < y and so 3 < y AND y < 6 can be written all together as 3 < y < 6 Edwin```
 real-numbers/50254: How can I solve this problem? 4c+3(2+c)=4c+6+3c =4c+3c+6 1 solutions Answer 33394 by AnlytcPhil(1321)   on 2006-08-30 18:07:31 (Show Source): You can put this solution on YOUR website!``` You are given the first two steps. You are to finish simplifying by supplying three more steps. Original expression given to simplify: 4c + 3(2 + c) = First step (given): Use distributive principle to remove parentheses 4c + 6 + 3c = Second step (given): Put the terms which contain "c" next to each other in front: 4c + 3c + 6 = Third step (not given): Use the distributive law in reverse to put c outside a parentheses with 4 + 3 inside c(4 + 3) + 6 = Fourth step (not given): Add the terms in the parentheses 4 + 3 gives 7 c(7) + 6 = Fifth step (not given) c(7) can be written as 7c 7c + 6 That is simplified as far as possible. So that's the final answer. Edwin```
 Systems-of-equations/50218: Solve the following system of equations: 3x^2+4xy-2y^2=2 3x+2y=-10 1 solutions Answer 33351 by AnlytcPhil(1321)   on 2006-08-30 07:30:41 (Show Source): You can put this solution on YOUR website!```Solve the following system of equations: 3x² + 4xy - 2y² = 2 3x + 2y = -10 Solve the second equation for either of the unknowns. I'll pick x: 3x + 2y = -10 add -2y to both sides 3x = -10 - 2y Divide both sides by 3 x = (-10 - 2y)/3 factor out -2 x = -2(5 + y)/3 In the first original equation, 3x² + 4xy - 2y² = 2 substitute -2(5 + y)/3 for x 3[-2(5 + y)/3]² + 4[-2(5 + y)/3]y - 2y² = 2 3[4(5 + y)²/9] + 4y[-2(5 + y)/3] - 2y² = 2 4(5 + y)²/3 - 8y(5 + y)/3 - 2y² = 2 4(25 + 10y + y²)/3 - (40y + 8y²)/3 - 2y² = 2 Multiply through by 3 to clear of fractions: 4(25 + 10y + y²) - (40y + 8y²) - 6y² = 6 100 + 40y + 4y² - 40y - 8y² - 6y² = 6 Collect terms 100 - 10y² = 6 Get 0 on the right 94 - 10y² = 0 Divide thru by 2 47 - 5y² = 0 -5y² = -47 y² = 47/5 ____ y = ±Ö47/5 ___ Rationalize denominator y = ±Ö235/5 Substitute into 3x + 2y = -10 Using the + value ___ 3x + 2(Ö235/5) = -10 Multiply through by 5 ___ 15x + 2Ö235 = -50 ___ 15x = -50 - 2Ö235 ___ x = (-50 - 2Ö235)/15 ___ x = -2(25 + Ö235)/15 So one solution is ___ ___ (x, y) = ( -2(25 + Ö235)/15, Ö235/5 ) ---------------------------------------- Using the - value ___ 3x + 2(-Ö235/5) = -10 Multiply through by 5 ___ 15x - 2Ö235 = -50 ___ 15x = -50 + 2Ö235 ___ x = (-50 + 2Ö235)/15 ___ x = -2(25 - Ö235)/15 So the other solution is ___ ___ (x, y) = ( -2(25 - Ö235)/15, -Ö235/5 ) Tell your teacher I said he or she is a meany for giving you such a messy problem. It is messy enough as it is. However, if you solve for y first instead of x, the problem is even messier, in fact a lot messier. That was the first way I did it!! Also there is no way to tell in advance which way is going to be messier. Your teacher needs a spanking!! :-) Edwin```
 Polynomials-and-rational-expressions/50200: Solve the following equation by clearing denominators and decimals first: -2.3-4.2r=37.581 solutions Answer 33349 by AnlytcPhil(1321)   on 2006-08-30 04:53:00 (Show Source): You can put this solution on YOUR website!```Solve the following equation by clearing denominators and decimals first: -2.3 - 4.2r = 37.58 Look at the number of digits after the three decimals: -2.3 has one digit after the decimal -4.2 has one digit after the decimal 37.58 has two digits after the decimal The most number of digits after the decimal is two. Therefore we must move all three of the decimals two places to the right in order to get them to become whole numbers. This is the same as multiplying through by 100. -2.3 with the decimal moved two places right is -230. -4.2 with the decimal moved two places right is -420. 37.58 with the decimal moved two places right is 3758. So the original equation -2.3 - 4.2r = 37.58 becomes -230 - 420r = 3758 add 230 to both sides: -230 - 420r = 3758 +230 +230 -------------------- -420r = 3988 Divide both sides by -420 -420r 3988 ------- = ------ -420 -420 The fraction on the right side reduces by dividing numerator and denominator by 4. It is a negative fraction because the numerator is positive and the denominator is negative and a positive divided by a negative is negative: r = -997/105 or you can divide out the fraction and get this decimal r = -9.495238095 Now since the smallest number of decimals places in the original equation was 1, round the final answer off the same way, so r = -9.5 Edwin```
 decimal-numbers/50158: how do you multiply and divide decimals? this is what I've tried: 89.16 divided by0.2 this is how far i got and then i don't know what to do next? 8916 02 sincerley, Tiffany1 solutions Answer 33333 by AnlytcPhil(1321)   on 2006-08-29 19:06:28 (Show Source): You can put this solution on YOUR website!```How do you multiply and divide decimals? 89.16 divided by 0.2 0.2)89.16 It takes moving the decimal of the divisor 0.2 one place to the right to get a whole number, 02. which is the same as just 2. Since that took one move right, we have to move the decimal of the dividend, 89.16, one place right also, getting 891.6. Place a decimal directly above the decimal in the dividend. So now the problem is: . 2)891.6 2 divided into the first digit 8 gives 4, so we write 4 above the 8 4 . 2)891.6 Now we multiply the 4 by the 2, getting 8, and write it below the 8 that's already there: 4 . 2)891.6 8 Draw a line under the 8 4 . 2)891.6 8 Subtract and you get nothing. Bring down the next digit, the 9 4 . 2)891.6 8 9 Divide 2 into the 9. It doesn't go evenly but 4 is the largest whole number so that when we multiply by 2 it doesn't go over 9. Write 4 above the 9 on top and beside the other 4 44 . 2)891.6 8 9 Multiply 4 by 2, getting 8 and write this below the 9 at the bottom: 44 . 2)891.6 8 9 8 Draw a line at the bottom and subtract 9 minus 8, getting 1: 44 . 2)891.6 8 9 8 1 Bring down the 1 from the divisor 44 . 2)891.6 8 9 8 11 Divide 2 into the 11. It doesn't go evenly but 5 is the largest whole number so that when we multiply by 2 it doesn't go over 11. Write 5 above the 1 on top and beside the second 4 445. 2)891.6 8 9 8 11 Multiply the 5 by the 2, getting 10. Write that under the 11 at the bottom: 445. 2)891.6 8 9 8 11 10 Draw a line at the bottom, and subtract 10 from 11, getting 1, so write it under the bottom line 445. 2)891.6 8 9 8 11 10 1 Bring down the 6 445. 2)891.6 8 9 8 11 10 1 6 Divide the 2 into the 16 at the bottom. It goes 8 times. So write 8 just right of the decimal at the top. 445.8 2)891.6 8 9 8 11 10 1 6 Multiply the 8 by the 2, getting 16. So write 16 under the other 16 at the bottom: 445.8 2)891.6 8 9 8 11 10 1 6 1 6 Draw a line at the bottom, subtract and get 0 445.8 2)891.6 8 9 8 11 10 1 6 1 6 0 So the remainder is 0. There are no more digits to bring down, so we are done, and the answer is 445.8 Edwin```
 Linear-equations/50150: Could I get some help with graphing this equation: 4x - 3y = 12. Thank You1 solutions Answer 33331 by AnlytcPhil(1321)   on 2006-08-29 18:27:10 (Show Source): You can put this solution on YOUR website!```Could I get some help with graphing this equation: 4x - 3y = 12? Thank You 1. Find the x-coordinate of the x-intercept by substituting 0 for y and solving for x. The y-coordinate of the x-intercept is 0. 4x - 3y = 12 4x + 3(0) = 12 4x = 12 x = 12/4 x = 3 So the x-intercept is (3,0) 2. Find the y-coordinate of the y-intercept by substituting 0 for x and solving for y. The x-coordinate of the y-intercept is 0. 4x - 3y = 12 4(0) - 3y = 12 -3y = 12 y = -4 So the x-intercept is (0,-4) 3. Plot these two points: (3,0) is on the x-axis 3 units right of the origin and (0,-4) is on the y-axis 4 units below the origin. Then draw a line through those two points: Edwin```
 Linear-equations/50149: Could I get some help with graphing this equation: 2x + y = -8? Thank You1 solutions Answer 33330 by AnlytcPhil(1321)   on 2006-08-29 18:16:32 (Show Source): You can put this solution on YOUR website!```Could I get some help with graphing this equation: 2x + y = -8? Thank You 1. Find the x-coordinate of the x-intercept by substituting 0 for y and solving for x. The y-coordinate of the x-intercept is 0. 2x + y = -8 2x + 0 = -8 2x = -8 x = -8/2 x = -4 So the x-intercept is (-4,0) 2. Find the y-coordinate of the y-intercept by substituting 0 for x and solving for y. The x-coordinate of the y-intercept is 0. 2x + y = -8 2(0) + y = -8 0 + y = -8 y = -8 So the x-intercept is (0,-8) 3. Plot these two points (-4,0) is on the x-axis 4 units left of the origin and (0,-8) is on the y-axis 8 units below the origin. Then draw a line through those two points: Edwin```
 Linear_Equations_And_Systems_Word_Problems/50005: This question is from textbook Applied College Algebra In addition to finding unions and intersections of intervals, it is possible to apply other operations to intervals. For instance, (-1,2)^2 is the interval that results from squareing every number in the interval (-1,2). This gives [1,4). Thus (-1,2)^2 = [1,4). a. Find (-4,2)^2 b. Find 1/[-2,3], the reciprocal of every number in [-2,3]. c. Find ABS(-4,5), the absolute value of every number in (-4,5)1 solutions Answer 33244 by AnlytcPhil(1321)   on 2006-08-28 13:36:31 (Show Source): You can put this solution on YOUR website!``` In addition to finding unions and intersections of intervals, it is possible to apply other operations to intervals. For instance, (-1,2)^2 is the interval that results from squareing every number in the interval (-1,2). This gives [1,4). Thus (-1,2)^2 = [1,4). Hey, that's wrong!!!!! It should be [0,4), That's because smallest number in (-1,2)² is 0² and the largest number is just less than but not including (2)² = 4. So that's the interval [0,4) a. Find (-4,2)^2 The smallest number is 0² and the largest number is just less than but not including (-4)² = 16 So that's the interval [0,16) -------------------------------- b. Find 1/[-2,3], the reciprocal of every number in [-2,3]. The smallest number is 1/(-2) = -1/2 and the largest number is 1/3. Both are included. However there is no number whose reciprocal is 0, so we must rule out 0. So that's the interval [-1/2, 0) U (0, 1/3] ------------------------------- c. Find ABS(-4,5), the absolute value of every number in (-4,5) The smallest number is ABS(0) = 0 and the largest number is just less than but not including ABS(5) = 5. So that's [0,5) Edwin```
 Linear-equations/49987: This question is from textbook intermediate algebra please tell me how to solve this problem. x y - + - = 1 8 21 solutions Answer 33228 by AnlytcPhil(1321)   on 2006-08-28 07:18:53 (Show Source): You can put this solution on YOUR website!```please tell me how to solve this problem. x y --- + --- = 1 8 2 Solve? It has two unknowns, not just one. So you can't solve and get just a single number value for either x or y. You didn't say what you are to solve it for. Do you want to solve it for x? Or solve it for y? Or graph it? Suppose you want to solve it for one of the letters x or y: x y 1 --- + --- = --- 8 2 1 The LCD is 8, so multiply every term, on the left and right by 8, written as 8/1 8 x 8 y 8 1 ---·--- + ---·--- = ---·--- 1 8 1 2 1 1 Do some cancelling: 1 4 8 x 8 y 8 1 ---·--- + ---·--- = ---·--- 1 8 1 2 1 1 1 1 The denominators are all 1's so you can just write x + 4y = 8 If you want to solve for y, then 4y = 8 - x Divide every term by 4 y = 2 - x/4 If you want to solve for x, then x = 8 - 4y If you want to graph it, find and plot the two points: (0,2) and (8,0) and draw a line thru them Edwin```
 Divisibility_and_Prime_Numbers/49988: UGH!!! What the heck is this? I have no clue as to what I am suppose to do with this? Please help me. Multiply or divide as indicated a. (5x+5)/6 multiplied by 3x/(x²+x) b. (x²+x)/10 divided by (2x+4)/5 1 solutions Answer 33227 by AnlytcPhil(1321)   on 2006-08-28 06:16:45 (Show Source): You can put this solution on YOUR website!```Multiply or divide as indicated a. (5x+5)/6 multiplied by 3x/(x²+x) 5x + 5 3x ------ · --------- 6 x² + x Factor 5x + 5 as 5(x + 1) Factor x² + x as x(x + 1) 5(x + 1) 3x -------- · --------- 6 x(x + 1) Multiply numerators and denominators. Do not remove the parentheses, though: 15x(x + 1) ------------ 6x(x + 1) 15 and 6 can both be divided by 3 5 15x(x + 1) ------------ 6x(x + 1) 2 We can also cancel the x's and the (x + 1)'s: 5 1 15x(x + 1) ------------ 6x(x + 1) 2 1 Answer is simply: 5 --- 2 ======================================== b. (x²+x)/10 divided by (2x+4)/5 x² + x 2x + 4 ------ ÷ --------- 10 5 To divide, invert the second and multiply x² + x 5 ------ · --------- 10 2x + 4 Factor x² + x as x(x + 1) Factor 2x + 4 as 2(x + 2) x(x + 1) 5 -------- · --------- 10 2(x + 2) Multiply numerators and denominators. Do not remove the parentheses, though: 5x(x + 1) ------------ 20(x + 2) Cancel the 5 into the 20 1 5x(x + 1) ------------ 20(x + 2) 4 That's the only thing that will cancel, so the answer is x(x + 1) ------------ 4(x + 2) You can leave the answer like that, or, if you want to, you can remove the parentheses and get x² + x -------- 4x + 8 Edwin```
 Quadratic_Equations/49989: What am I supposed to do with this? Am I supposed to follow an order of operation? I am having problems with this. Please help me. Find all the numbers for which the rational expression is undefined: a. (x+3)/[(x–2)(x+5)] b. 7/(x²+81) 1 solutions Answer 33226 by AnlytcPhil(1321)   on 2006-08-28 05:41:54 (Show Source): You can put this solution on YOUR website!```What am I supposed to do with this? Am I supposed to follow an order of operation? I am having problems with this. Please help me. Find all the numbers for which the rational expression is undefined: a. (x+3)/[(x–2)(x+5)] b. 7/(x²+81) ---------------------------------------------------- You're supposed to know that a fraction (rational expression) is undefined if its denominator is equal to 0. So you set the denominator = 0 and find out what values will make the fraction undefined. You can ignore the numerator because it has no effect on whether a fraction (rational expression) is defined or undefined. The denominator of (a.) is (x-2)(x+5) So set (x-2)(x+5) equal to 0 and solve: (x-2)(x+5) = 0 Set each factor = 0 x-2 = 0 gives x = 2 x+5 = 0 gives x = -5 So 2 and -5 are the values which cause the fraction to be undefined. ---------------------------------------- The denominator in part (b.) is x²+81 We set x²+81 = 0 x² = -81 But if we take the square root of a negative number we do not get a real number. So there is no real solution to x²+81=0. Therefore (b.) is never undefined. Edwin```
 Complex_Numbers/49996: This question is from textbook College Algebra use z=a+bi and w=c+di to show that the conjugate of z*w = the conjugate of z * the conjugate of w1 solutions Answer 33224 by AnlytcPhil(1321)   on 2006-08-28 05:18:30 (Show Source): You can put this solution on YOUR website!```use z=a+bi and w=c+di to show that the conjugate of z*w = the conjugate of z * the conjugate of w First let's find z*w z*w = (a+bi)(c+di) = ac + adi + bci + bdi² = ac + (ad+bd)i + bd(-1) = ac + (ad+bd)i - bd = ac - bd + (ad+bd)i = (ac-bd) + (ad+bd)i ---------------------------------------------------- Now let's find the conjugate of z*w: "Find the conjugate" means "leave the real part but change the sign of the imaginary part". So the conjugate of z*w is (ac-bd) - (ad+bd)i ----------------------------------------------------- Now let's find the conjugates of z and w. Again, "find the conjugate" means "leave the real part but change the sign of the imaginary part". So the conjugate of z, which equals a+bi, is a-bi. And the conjugate of w, which equals c+di, is c-di. ------------------------------------------------------- Now let's find (the conjugate of z)*(the conjugate of w) (a-bi)(c-di) = ac - adi - bci + bdi² = ac - (ad+bd)i + bd(-1) = ac - (ad+bd)i - bd = ac - bd - (ad+bd)i = (ac-bd) - (ad+bd)i ------------------------------------------------------ So they are both equal since both the red expressions above are the same, namely (ac-bd) - (ad+bd)i. Edwin```
 Linear-equations/49997: write an equation for the line described: a line whose slope =3 and passes through the point (-2,7)1 solutions Answer 33222 by AnlytcPhil(1321)   on 2006-08-28 04:56:12 (Show Source): You can put this solution on YOUR website!```write an equation for the line described: a line whose slope =3 and passes through the point (-2,7) The point-slope formula y - y1 = m[x - x1] gives the equation of the line with slope = m which passes through the point (x1,y1) So plug in 3 for m, -2 for x1, and 7 for y1: y - 7 = 3[x - (-2)] y - 7 = 3[x + 2] y - 7 = 3x + 6 y = 3x + 13 Edwin```
 Graphs/49914: This question is from textbook Beginning Algebra How do I find the distance of this problem? I'm not sure how to start. (-7,7) and (2,-5)1 solutions Answer 33170 by AnlytcPhil(1321)   on 2006-08-27 13:20:03 (Show Source): You can put this solution on YOUR website!```How do I find the distance of this problem? I'm not sure how to start. (-7,7) and (2,-5) Use the formula _______________________ D = Ö(x2 - x1)2 + (y2 - y1)2 which gives the distance D between the two points (x1,y1) and (x2,y2) In your problem (x1,y1) = (-7,7) and (x2,y2) = (2,-5) _____________________________ D = Ö[(2) - (-7)]2 + [(-5) - (7)]2 ____________________ D = Ö[2 + 7]2 + [-5 - 7]2 ___________ D = Ö92 + (-12)2 ________ D = Ö81 + 144 ___ D = Ö225 D = 15 Edwin```