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 Mixture_Word_Problems/209217: mike and dan wanted to buy a present for their parents anniversary The anniversary was only one month away every day i will put one of my coins in this piggy bank and you put one of yours in it toomike said ok said dan." ihave 22 nickels in my wallet" i have 18 dimes in mine" said mike one day the brothers were surprised to notice dan actually had more money than mike in his wallet. how many days had passed since they had begun putting their coins into the piggy bank?1 solutions Answer 158186 by scott8148(6628)   on 2009-08-28 10:13:10 (Show Source): You can put this solution on YOUR website!let d=days to find the day that they have equal amounts ___ 5(22-d) = 10(18-d) distributing ___ 110 - 5d = 180 - 10d adding 10x and subtracting 110 ___ 5d = 70 dividing by 5 ___ d = 14 after the 14th day, Dan will have more than Mike
 Numbers_Word_Problems/209221: This question is from textbook Prealgebra & Introductory Algebra A rectangular dog pen is twice as long as it is wide. The perimeter of the pen is 36ft. Find the length and width of the pen. W=width w x 2=length P=2l + 2w p=36= 2 (w x 2)+ 2 x w 36= 2w x 4 + 2w 36= 4w x 4 1 solutions Answer 158178 by scott8148(6628)   on 2009-08-28 09:52:10 (Show Source): You can put this solution on YOUR website!"p=36= 2 (w x 2)+ 2 x w" ___ this is OK "36= 2w x 4 + 2w" ___ this is not ___ the parentheses caused a problem?? ___ distributive law not needed for multiplication __ just remove parentheses and multiply 36 = 4w + 2w ___ 36 = 6w ___ 6 = w
 Numbers_Word_Problems/209245: A group of teenagers wanted to hire a small bus for their prom and they split the \$600 total cost equally. If they had had 5 fewer people, each person would have paid \$10 more. How many teenagers were there and how much did they each pay? 1 solutions Answer 158175 by scott8148(6628)   on 2009-08-28 09:38:20 (Show Source): You can put this solution on YOUR website!let t = number of teens "they split the \$600 total cost equally" ___ 600 / t " If they had had 5 fewer people, each person would have paid \$10 more" ___ 600/(t - 5) = (600/t) + 10 multiplying by t(t-5) ___ 600t = 600t - 3000 + 10t^2 - 50t subtracting 600t and dividing by 10 ___ 0 = t^2 - 5t - 300 factoring ___ 0 = (t + 15)(t - 20) t + 15 = 0 ___ t = -15 ___ negative number not realistic t - 20 = 0 ___ t = 20 substituting ___ \$600 / 20 = \$30
 Finance/209225: URGENT QUESTION the question is- papreback books cost\$5 and hard cover books cost \$7 each. I spend exactly \$86 on books of these two types. Whta is the maximum number of books i can buy? thanks. heaps1 solutions Answer 158164 by scott8148(6628)   on 2009-08-28 08:12:50 (Show Source): You can put this solution on YOUR website!try to maximize the number of less expensive books 5 goes into 86, 17 times with a remainder of 1 increasing the remainder in steps of 5, you need the smallest remainder divisible by 7 ___ like 21 5 * 13 = 65 and 7 * 3 = 21 ___ so 16 books
 Quadratic_Equations/209135: Solve 9x^4-21x^2+10 = 0 Give an exact answer, using radicals as needed. I think to start this problem off I need to factor but I'm not sure how to do that on this equation. Please help.1 solutions Answer 158102 by scott8148(6628)   on 2009-08-27 20:03:17 (Show Source): You can put this solution on YOUR website!factoring ___ (3x^2 - 5)(3x^2 - 2) = 0 3x^2 - 5 = 0 ___ 3x^2 = 5 ___ x^2 = 5/3 ___ x = ± sqrt(5/3) 3x^2 - 2 = 0 ___ 3x^2 = 2 ___ x^2 = 2/3 ___ x = ± sqrt(2/3)
 Length-and-distance/209160: Use the given endpoint R and midpoint M of Line Segment RS to find the coordinates of the other endpoint S. 29. R (4, -6) M (-7, 8) I've tried finding the distance between the x points and the y points, but I can't figure it out! THANK YOU!1 solutions Answer 158096 by scott8148(6628)   on 2009-08-27 19:53:03 (Show Source): You can put this solution on YOUR website!to go from R to M, it is -11 in the x direction and +14 in the y direction since M is the midpoint, going from M to S uses the same displacements as going from R to M S ((-7 -11),(8 +14)) ___ S (-18, 22)
 Linear-equations/209079: write the standard form of the equation of the line that passes through (5,-2) and is parallel to the line with equation 3x+2y+4=01 solutions Answer 158054 by scott8148(6628)   on 2009-08-27 17:11:54 (Show Source): You can put this solution on YOUR website!parallel means the same slope so the x and y coefficients (A and B) are the same substitute the coordinates of the point into the equation to find a new value for the constant term (C) 3(5) + 2(-2) + C = 0 ___ 15 - 4 + C = 0 ___ C = -11 the new equation is ___ 3x + 2y - 11 = 0
 Roman-numerals/209074: I am 22 years of age and have never found out how to count Roman numerals higher than 2 and I need help. I would greatly appreciate it.1 solutions Answer 158052 by scott8148(6628)   on 2009-08-27 17:03:56 (Show Source): You can put this solution on YOUR website!google "roman numerals" the wikipedia article is quite thorough
 Linear-equations/209115: Hmm, I'm having a very hard time with this question. 2z+z-9>30 This is what I think. By getting the negative nine to the other side. Lol, I mean like this. 2z+z-9(+9)>30(+9) 2z+z>39 Then since the variable has its own number as in one, it would go like this?-- 3z>39 Then after that I'm not sure what do If you help, I will be very thankful < D Thank you! :] 1 solutions Answer 158050 by scott8148(6628)   on 2009-08-27 16:54:09 (Show Source): You can put this solution on YOUR website!dividing by 3 seems like a good idea ___ z > 13
 Linear-equations/209099: This question is from textbook I have to put this in general form. But I am totally confused. I have no idea where A,B, and C come from. Please help me! I would really appreciate it! General Form - Ax+By+C=0 Point (0,-2) Slope m=3 When I put this in general form from slope intercept form I got the right answer: y=3x-2 minus y on each side 3x-y-2 However on the next one Point (2,-3) Slope m=-(1/2) I did the same thing and it was wrong please help. y=-(1/2)x-2 -(1/2)x-y-2=0 I got the exact opposite of the right answer. Why do you sometimes move everything over to the y as in the second problem but others times move it all over on the other side as in the first problem!?1 solutions Answer 158041 by scott8148(6628)   on 2009-08-27 16:18:05 (Show Source): You can put this solution on YOUR website!in the general form ___ A, B, and C are capitalized because they are whole numbers you may have to multiply by a constant to "get rid of" fractions also, by convention, A is always positive __ you may have to multiply through by -1 to accomplish this
 Percentage-and-ratio-word-problems/208713: A man buys a book for \$20 and wishes to sell it. What price should he mark on it if he wishes a 40% discount while making a 50% profit on the cost price?1 solutions Answer 157879 by scott8148(6628)   on 2009-08-26 13:04:32 (Show Source): You can put this solution on YOUR website!50% profit means that he sells the book for \$30 (\$20 cost + \$10 profit) 40% discount means that the \$30 is 60% of the price ___ \$30 = (60%) p \$30 / .60 = \$50 = p
 Linear-systems/208702: S = 5NT - TS + NS Solve for T1 solutions Answer 157877 by scott8148(6628)   on 2009-08-26 12:56:02 (Show Source): You can put this solution on YOUR website!subtracting NS ___ S - NS = 5NT - TS factoring ___ S - NS = T (5N - S) dividing by (5N - S) ___ (S - NS) / (5N - S) = T
 Mixture_Word_Problems/208719: A paint mixture contains 2 parts of green paint and 6 parts of white paint. How many gallons of green paint must be added to 16 gallons of this mixture to obtain a new mixture which has 40% green paint? 1 solutions Answer 157874 by scott8148(6628)   on 2009-08-26 12:49:41 (Show Source): You can put this solution on YOUR website!(100%)(x) + (25%)(16) = (40%)(16 + x) x + 4 = 6.4 + .4x .6x = 2.4 x = 4
 Polynomials-and-rational-expressions/208733: Factor each polynomial completely. T^2 + 20r + 100 1 solutions Answer 157872 by scott8148(6628)   on 2009-08-26 12:43:18 (Show Source): You can put this solution on YOUR website!factors of 100 that sum to 20 ___ like 10 and 10 (T + 10)(T + 10)
 Angles/208741: the distance s, in feet, that an object will fall in t seconds is given by s=16t^2 + vt, where v is the initial velocity of the object in feet per second. find the initial velocity of an object that falls 186 ft in 3 s.1 solutions Answer 157870 by scott8148(6628)   on 2009-08-26 12:34:20 (Show Source): You can put this solution on YOUR website!186 = 16(3^2) + 3v 186 = 144 + 3v 42 = 3v 14 = v
 Numeric_Fractions/208703: Respected sir, plz help me to solve this maths problem, 1] Last year's receipts from the sale of candy,on valentine's day totaled 385 million \$ ,which represented 7% of totla candy sales for the year.candy sales for the year totaled how many millions \$? waiting for your answer.. thank you. regards Binita 1 solutions Answer 157855 by scott8148(6628)   on 2009-08-26 11:13:50 (Show Source): You can put this solution on YOUR website!let x = yearly candy sales "385 million \$ ,which represented 7% of totla candy sales for the year" ___ 385M = 7% of x ___ 385M = (.07)x dividing by .07 ___ 5500M = x
 Numeric_Fractions/208705: respected sir, plz help me to slove this problem, 1] 1+1/x=2-2/x,then x=? waiting for yurs reply. thank u. regards Binita1 solutions Answer 157854 by scott8148(6628)   on 2009-08-26 11:07:51 (Show Source): You can put this solution on YOUR website!multiplying by x ___ x + 1 = 2x - 2 adding 2 and subtracting x ___ 3 = x
 Equations/208736: Would you please help me solve this problem? Solve by any method... 7= -12/x -2/x^2 Thanks for all your help!!1 solutions Answer 157852 by scott8148(6628)   on 2009-08-26 10:56:27 (Show Source): You can put this solution on YOUR website!multiplying by x^2 ___ 7x^2 = - 12x - 2 adding 12x + 2 ___ 7x^2 + 12x + 2 = 0 the equation is not factorable, so you can solve it with the quadratic formula
 Linear-systems/208729: How do I factor 2x^2+4x+3=0? Your help is greatly appreciated!1 solutions Answer 157850 by scott8148(6628)   on 2009-08-26 10:49:29 (Show Source): You can put this solution on YOUR website!this equation is NOT factorable solve it by using the quadratic formula for a quadratic to be factorable, the discriminant (b^2 - 4ac) must be a perfect square
 Geometry_Word_Problems/208353: Your making a photo quilt by transferring photos to aquares of fabric. Each square should be big enough so that you can turn over an edge 5/8 inch long on each side and have a finished aquare with a side length of 5 3/4 inches. a.What are the demensions of each fabric square? is it 5 3/4 x 5 3/4 b.How many square inches of fabric do you need if you want to include 48 squares? is it 276 in. squared c. The fabric you buy is 36 inches wide. How long a piece of fabric do you need? d. You buy a piece of fabric that has the length you found in part (c). Once you've cut all squares, how many square inches of fabric are left over? Please help solve! Thank you!1 solutions Answer 157685 by scott8148(6628)   on 2009-08-25 10:42:51 (Show Source): You can put this solution on YOUR website!the side length of a FINISHED square is 5 3/4 ___ but that is after you have turned over a 5/8 edge on EACH side the starting side length must be 5 3/4 + 5/8 + 5/8 or 7 inches b. one square is 7 x 7 and you need 48 ___ 7 x 7 x 48 = ? c. the fabric is wide enough for 5 WHOLE squares ___ 36 / 7 = 5 1/7 ___ you need 48 squares ___ there are 5 in a row, so you need 10 rows ___ because 9 is not enough 9 x 5 = 45 ___ 10 rows of 7 inch squares is 70 inches ___ 10 x 7 = 70 d. the fabric is one inch wider than the 5 squares per row ___ so there is a strip of "extra" material one inch wide and 70 inches long ___ 1 x 70 = 70 square inches ___ also, only 3 squares are cut from the 10th row ___ this leaves 2 squares of "extra" material ___ 2 x 7 x 7 = 98 square inches ___ so the square inches of left over fabric is ___ 70 + 98 = ?
 Angles/208355: This question is from textbook Geometry The measures of two complementary angles are 16z-9 and 4z+3. Find the measures of the angles. I know that 2 complementary angles have the sum of 90 degrees. I'm trying to set up the algebraic problem so I can solve it and am having a hard time. 1 solutions Answer 157684 by scott8148(6628)   on 2009-08-25 09:49:02 (Show Source): You can put this solution on YOUR website!(16z-9) + (4z+3) = 90 20z - 6 = 90 ___ 20z = 96 ___ z = 96 / 20 = 4.8 substitute the value of z to find the angle measures
 Exponents-negative-and-fractional/208335: Hello, Is 0.5 cubed (or, to the power of 3) equal to 0.125? As in 0.5 x 0.5 x 0.5 = 0.125? If not, what is the correct answer, and how would I figure out similar problems on a regular calculator or another method? Thank you!1 solutions Answer 157601 by scott8148(6628)   on 2009-08-24 18:23:19 (Show Source): You can put this solution on YOUR website!your answer is correct and your technique is fine for integer (whole number) exponents if you need to find fractional or decimal exponents, a scientific calculator has an exponentiation key windows has a built-in calculator that can be set to scientific mode ___ start >> programs >> accessories >> calculator
 Quadratic_Equations/208189: How do I find the equation that has the solutions -10, 4 ??1 solutions Answer 157528 by scott8148(6628)   on 2009-08-24 10:25:09 (Show Source): You can put this solution on YOUR website!if r is a root (solution), then x-r is a factor (x + 10)(x - 4) ___ x^2 + 6x - 40 = 0
 Graphs/208196: Hockey team receives two points when they win and one point when they tie. One season, a team won a championship with 57 points. The won 12 more games than they tied. How many wins and how many ties did the team have? I would very much apprecaiate solution. I have been working on this for hours and I can't seem to come up with the right solution. Thank you very much.1 solutions Answer 157527 by scott8148(6628)   on 2009-08-24 10:15:47 (Show Source): You can put this solution on YOUR website!let x = ties "won 12 more games than they tied" ___ so x+12 = wins 2(x+12) + 1(x) = 57 distributing ___ 2x + 24 + x = 57 ___ 3x = 33 ___ x = 11 so, 11 ties and 23 wins
 Linear-equations/207993: I tried the figuring with y = 0 and have do not think this is correct. Now I am clueless as to how to approach this problem.Point A (-4,1) is in the standard x, y coordinate plane. What must be the coordinates of point B so that the line x = 2 is the perpendicular bisector of AB? Thank you for your help.I have an exam in 2 days!1 solutions Answer 157350 by scott8148(6628)   on 2009-08-23 07:57:47 (Show Source): You can put this solution on YOUR website!x=2 is a vertical line (y is not defined and so can have any value) the perpendicular line must be horizontal and of the form y=? this means A and B have the same y-coordinate (1) x=2 is the bisector of AB so the distance from A to x=2 is the same as the distance from x=2 to B ___ 2 - -4 = ? - 2 ___ 6 = 8 - 2 ___ so the x-coordinate of B is 8 point B is (8,1)
 Inequalities/208036: How do you solve the following: -1 < (2-x)/(2+x) <(less than or equal to) 1 I tried doing them separately but I don't get the answer. The answer is supposed to be x is greater than or equal to 0. 1 solutions Answer 157346 by scott8148(6628)   on 2009-08-23 07:33:39 (Show Source): You can put this solution on YOUR website!multiplying by 2+x ___ -x-2 < 2-x ≤ 2+x adding x ___ -2 < 2 ≤ 2x+2 ___ you can drop the first term because there it has no effect on the x subtracting 2 ___ 0 ≤ 2x dividing by 2 ___ 0 ≤ x
 Travel_Word_Problems/207967: On a canoe trip, Rita paddled upstream (against the current) at an average speed of 2mi/h relative to the riverbank. On the return trip downstream (with the current), her average speed was 3 mi/h. Find Rita's paddling seed in still water and the speed of the river's current.1 solutions Answer 157313 by scott8148(6628)   on 2009-08-22 20:22:06 (Show Source): You can put this solution on YOUR website!r - c = 2 r + c = 3 adding equations ___ 2r = 5 dividing by 2 ___ r = 2.5 substituting ___ 2.5 + c = 3 ___ c = .5
 Trigonometry-basics/207942: Give a point(5,-5) on the terminal side of angle 0, find the value of sec. I don't know were to start.. Thank you1 solutions Answer 157310 by scott8148(6628)   on 2009-08-22 20:01:29 (Show Source): You can put this solution on YOUR website!x = 5 y = -5 by Pythagoras, r = sqrt(50) or 5 sqrt(2) sec = r / x ___ or sqrt(2)
 Polynomials-and-rational-expressions/207494: I need help with this question. The hypotenuse of a right triangle is 8 feet less than three times the shorter leg and the longer leg is 8 feet more than twice the shorter leg. Find the lengths of the three sides of the triangle 1 solutions Answer 156915 by scott8148(6628)   on 2009-08-19 18:10:45 (Show Source): You can put this solution on YOUR website!let x=shorter leg by Pythagoras ___ x^2 + (2x + 8)^2 = (3x - 8)^2 x^2 + 4x^2 + 32x + 64 = 9x^2 - 48x + 64 0 = 4x^2 - 80x = x^2 - 20x = x (x - 20) x = 0 ___ not a realistic solution x - 20 = 0 ___ x = 20 longer leg ___ 2(20) + 8 ___ 48 hypot ___ 3(20) - 8 ___ 52
 Travel_Word_Problems/207480: This question is from textbook Algebra and Trigonometry with analytic geometry A woman begins jogging at 3:00pm, running due north at a 6-minute-mile pace. Later, she reverses direction and runs due south at a 7 minute-mile pace. If she returns to her starting point at 3:45, find the total number of miles run. I ahve tried using the formula time = dist/rate,letting x=distance. I plugged in 45=6x + 7x, but I got an irrational number (3.461...). Thanks in advance for any help! 1 solutions Answer 156909 by scott8148(6628)   on 2009-08-19 17:58:24 (Show Source): You can put this solution on YOUR website!two comments first ___ the number is not irrational, it is 45/13 (the ratio of two whole numbers) second ___ x is the distance one-way ___ the total distance is 90/13
 expressions/207449: Which of the following is equivalent to 9 - 3x > 4(2x - 1)?1 solutions Answer 156887 by scott8148(6628)   on 2009-08-19 16:44:16 (Show Source): You can put this solution on YOUR website!distributing ___ 9 - 3x > 8x - 4 adding 3x + 4 ___ 13 > 11x dividing by 11 ___ 13/11 > x