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edjones answered: 7568 problems
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Square-cubic-other-roots/146522: X 3/2 = 125 1 solutions Answer 106954 by edjones(7569)   on 2008-06-26 17:10:33 (Show Source): You can put this solution on YOUR website! x^(3/2)=125 x=125^(2/3) Take each side to the 2/3 power. x=25 . Ed

Square-cubic-other-roots/146523: cube of X-4 = 2 1 solutions Answer 106952 by edjones(7569)   on 2008-06-26 17:05:24 (Show Source): You can put this solution on YOUR website! (x-4)^3=2 x-4=2^(1/3) x=4+2^(1/3) =5.25992

Travel_Word_Problems/146492: Hello guys! here is my question... A car 15 feet long overtakes a truck 30 feet long which is traveling at the rate of 45 miles per hour. How fast must the car travel to pass the truck in 3 seconds? 1 solutions Answer 106951 by edjones(7569)   on 2008-06-26 16:59:46 (Show Source): You can put this solution on YOUR website! 15+30=45' distance the car must travel to overtake the truck It must be traveling 45/3=15'/sec faster than the truck. 45 mi/h=45*1.46666666667 =66'/sec 66+15 81'/sec or 55.2273 mph . Ed

Functions/146503: This question is from textbook college algebra: concepts and models, fifth edition sketcgh the graph of the function and determine whether the function is even, odd, or neither h(x)=x^2-4 1 solutions Answer 106946 by edjones(7569)   on 2008-06-26 16:43:36 (Show Source): You can put this solution on YOUR website! Even. . Ed .

Trigonometry-basics/146501: the function vaule for: cot 81.1 degrees 1 solutions Answer 106944 by edjones(7569)   on 2008-06-26 16:37:47 (Show Source): You can put this solution on YOUR website! cot(81)=1/tan(81)=.158384

Polynomials-and-rational-expressions/146505: This question is from textbook The present value P that will amount to A dollars in n years with interest compounded annually at annual interest rate r, is given by: P = A (1 + r)^-12 power Find the present value that will amount to $50,000 in 20 years at 8% compounded annually. 1 solutions Answer 106941 by edjones(7569)   on 2008-06-26 16:31:54 (Show Source): You can put this solution on YOUR website! Your formula should be P=A(1+r)^-20 (for 20 years) P=50000(1+.08)^-20 =$10,727.41 . Ed

Polynomials-and-rational-expressions/146316: I do not understand how to do this problem. Swimming space. The length of a rectangular swimming pool is 2x – 1 meters, and the width is x + 2 meters. Write a polynomial that represents the area. Find the area if x is 5 meters. 1 solutions Answer 106850 by edjones(7569)   on 2008-06-24 22:22:15 (Show Source): You can put this solution on YOUR website! L*w=A L=2x-1 w=x+2 A=(2x-1)(x+2) =2x^2+3x-2 Polynomial that represents the area. (FOIL) =2*5^2 + 3*5 - 2 =50+15-2 =63 m^2 when x=5 . Ed

Reduction-of-unit-multipliers/146326: Can you show me how to change 4.50 ounces (oz) to kilograms(kg) 1 solutions Answer 106843 by edjones(7569)   on 2008-06-24 22:09:55 (Show Source): You can put this solution on YOUR website! kg is a measurement of wt. oz is a measurement of vol. . Ed

Polynomials-and-rational-expressions/146325: Factor (2y-7)squared - 36 1 solutions Answer 106841 by edjones(7569)   on 2008-06-24 22:06:08 (Show Source): You can put this solution on YOUR website! (2y-7)^2-36 =(2y-7)^2-6^2 =((2y-7)+6)((2y-7)-6) =(2y-1)(2y-13) . Ed

Polynomials-and-rational-expressions/146321: Can you please help me? Perimeter of a rectangle. The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length. 1 solutions Answer 106837 by edjones(7569)   on 2008-06-24 21:50:13 (Show Source): You can put this solution on YOUR website! 2w+2L=P 2x+2L=6x+6 2L=6x+6-2x 2L=4x+6 L=2x+3 . Ed

Triangles/146298: Find the measure of the hypotenuse of a 30-60-90 triangle whose longer leg has a measure of 6 meters. Give answer in simplified radical form??? 1 solutions Answer 106834 by edjones(7569)   on 2008-06-24 20:45:35 (Show Source): You can put this solution on YOUR website! The is an SAT question. For 30-60-90 triangles if the short leg is 1, then the hypotenuse is 2 and the long leg is sqrt(3). Memorize this. That is all you have to know. Now you can set up a proportion. Let x be the hypotenuse. x/6=2/sqrt(3) x=12/sqrt(3) We are not done yet because we can't leave a sqrt in the denominator so we must multiply top and bottom by sqrt(3). x=12sqrt(3)/3 =4sqrt(3) . Ed

Equations/146305: what is the range for P(x)=x^2+5x+6<0? a)x=(-3,-2) b)P(x)=(-3,-2) 1 solutions Answer 106833 by edjones(7569)   on 2008-06-24 20:22:56 (Show Source): You can put this solution on YOUR website! . Ed .

Radicals/146301: The expression (Sqrt of x + Sqrt of y)^2 is not equal to x+y for every nonnegative x and y. 1. Why is this? 2. How do I find a value of x and y for which this is true, that is (sqrt of x + sqrt of y)^2 = x + y. (Also, what is this value?) Thank you for your time and help with this question, I hope it is clear enough to understand.) This question is not from a text book, it is from a worksheet. 1 solutions Answer 106830 by edjones(7569)   on 2008-06-24 20:03:53 (Show Source): You can put this solution on YOUR website! 1. (sqrt(x)+sqrt(y))^2=x+2sqrt(x)sqrt(y)+y so it only equals x+y when 2sqrt(x)sqrt(y)=0 2. it will only equal 0 when x and y both equal 0. . Ed

Square-cubic-other-roots/146302: Multiply the following (4 - square root 7) ( 3 + 2 square root 7) 1 solutions Answer 106828 by edjones(7569)   on 2008-06-24 19:33:05 (Show Source): You can put this solution on YOUR website! (4-sqrt(7))(3+2sqrt(7)) FOIL F 4*3=12 O 8sqrt(7) I -3sqrt(7) L -2*7 ----------- 12+5sqrt(7)-14 =5sqrt(7)-2 . Ed

Polynomials-and-rational-expressions/146308: 10-1/t=9/t^2 1 solutions Answer 106827 by edjones(7569)   on 2008-06-24 19:19:25 (Show Source): You can put this solution on YOUR website! 10-1/t=9/t^2 10t^2-t=9 Multiply each side by LCM to eliminate fractions. 10t^2-t-9=0 10*-9=-90 What 2 factors of -90=-1? Ans: -10 & 9 10t^2-10t+9t-9=0 10t(t-1)+9(t-1)=0 Factoring by grouping. (10t+9)(t-1)=0 10t=-9 t=-9/10 t=1 . Ed

Permutations/146033: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following: In how many different ways can you arrange the letters of the word COMPUTER taking 4 at a time? 1 solutions Answer 106682 by edjones(7569)   on 2008-06-23 12:16:21 (Show Source): You can put this solution on YOUR website! 8P4 =n!/(n-r)! =8!/(8-4)! =8*7*6*5*4!/4! =8*7*6*5 =1680 . Ed

Permutations/146035: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following: In how many different ways can the 9 starters of a baseball team be placed in their positions? 1 solutions Answer 106681 by edjones(7569)   on 2008-06-23 12:08:45 (Show Source): You can put this solution on YOUR website! 9!=9*8*7*6*5*4*3*2=362,880

Expressions-with-variables/146104: This question is from textbook Saxon Algebra 1 1 solutions Answer 106680 by edjones(7569)   on 2008-06-23 12:03:28 (Show Source): You can put this solution on YOUR website! -2k^0-4k+6(-k-2^0)-(-5k)=-(2-5)k-4k -2-4k-6k-6+5k=-(-3k)-4k Any number to ^0=1. -5k-8=3k-4k -5k-8=-k -4k=8 k=-2 . Ed

Linear-systems/146116: Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipt were $824 and twice as many adult tickets as student tickets were sold, then how many of each sold? 1 solutions Answer 106678 by edjones(7569)   on 2008-06-23 11:44:52 (Show Source): You can put this solution on YOUR website! Let a be the number of adult tickets and s be the number of student tickets. a=2s 3a+2s=824 3*2s+2s=824 substitute 2s for a 8s=824 s=103 a=206 . Check: 3*206 + 2*103 = 824 true. . Ed

real-numbers/146129: I need help with some of the following questions as far as and explanation on how to do them I have the answers which will be at the bottom of the page of muliple choice questions. If it isnt to much trouble can u explain how to get these answers or at lease explain 4 over these different problems to me? Thank You Sincerely Louis Gordon-HayIII LGHIII 1. An instrument store gives a 10% discount to all students off the original cost of an instrument. During a back to school sale an additional 15% is taken off the discounted price. Julie, a student at the local high school, purchases a flute for $306. How much did it originally cost? A. $325 B. $375 C. $400 D. $408 E. $425 2. If y(x-1)=z then x= A. y-z B. z/y + 1 C. y(z-1) D. z(y-1) E. 1-zy 3. Which of the following values is NOT equal to 34(58+9)? A. 34 x 67 B. 58(34+9) C. 34 x 58 + 34 x 9 D. 1,972 + 306 E. (9 + 58) 34 4. Two angles of a triangle measure 15° and 85 °. What is the measure for the third angle? A. 50° B. 55° C. 60° D. 80° E. 90° 5. If 5 ounces is equal to 140 grams, then 2 pounds of ground meat is equal to how many ounces? A. 863 B. 878 C. 896 D. 915 E. 932 6. Which year did the most children take swimming lessons? A. 1990 B. 1991 C. 1992 D. 1994 E. 1995 7. Between which year did the largest decrease in children taking swimming lessons occur? A. 1990-1991 B. 1991-1992 C. 1992-1993 D. 1993-1994 E. 1994-1995 8. What was the average number of children taking swim lessons from 1990 to 1995? A. 250 B. 308 C. 385 D. 450 E. 1,850 9. Which of the following is equal to 5.93 x 10-2? A. 0.0593 B. 0.00593 C. 593 D. 5930 E. 59300 10. On a Map, 1 inch represents 20 miles. The distance between 2 towns is 6 1/5 inches. How many miles are actually between the two towns? A. 65 miles B. 84 miles C. 124 miles D. 138 miles E. 145 miles 11. Which of the following is a correct graph of x>1, x <4? A. Line A B. Line B C. Line C D. Line D E. Line E 12. How many cubed pieces of fudge that are 3 inches on an edge can be packed into a Christmas tin that is 9 inches deep by 12 inches wide by 8 inches high with the lid still being able to be closed? A. 18 B. 24 C. 32 D. 36 E. 43 13. Sarah is twice as old as her youngest brother. If the difference between their ages is 15 years. How old is her youngest brother? A. 10 B. 15 C. 20 D. 25 E. 30 14. Which of the following fractions is equal to 5/6? A. 20/30 B. 15/24 C. 25/30 D. 40/54 E. 2/7 15. What will it cost to tile a kitchen floor that is 12 feet wide by 20 feet long if the tile cost $8.91 per square yard? A. $224.51 B. $237.60 C. $246.55 D. $271.38 E. $282.32 16. In a writing competition, the first place winner receives ½ of the prize money. The second runner up receives ¼ of what the winner won. What was the total amount of prize money distributed if the winner receives $6,000? A. $6,000 B. $8,500 C. $12,000 D. $15,000 E. $18,500 17. You are lying 120 ft away from a tree that is 50 feet tall. You look up at the top of the tree. Approximately how far is your hear from the top of the tree in a straight line? A. 50 feet B. 75 feet C. 120 feet D. 130 feet E. 150 feet 18. A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour? A. 8.1 B. 8.3 C. 8.6 D. 8.9 E. 9.0 19. If edging cost $2.32 per 12-inch stone, and you want a double layer of edging around your flower bed that is 6 yards by 1 yard. How much will edging you flower bed cost? A. $32.48 B. $64.96 C. $97.44 D. $129.92 E. $194.88 20. If 3x=6x-15 then x + 8= A. 5 B. 10 C. 11 D. 12 E. 13 21. The number of milliliters in 1 liter is A. 10,000 B. 1,000 C. 0.1 D. 0.01 E. 0.001 22. The cost to ride on a ferry is $5.00 per vehicle and driver with an additional cost of 50 cents per passenger. If the charge to get on the ferry is $6.50, how many people were in the vehicle? A. 1 B. 2 C. 3 D. 4 E. 5 23. What is 1/9 of 9? A. 1/9 B. 0 C. 1 D. 2 E. 3 24. In his pocket, a boy has 3 red marbles, 4 blue marbles, and 4 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color? A. 3 B. 7 C. 8 D. 9 E. 11 25. Which fraction is equal to 0.20%? A. 1/20 B. 1/40 C. 1/50 D. 1/400 E. 1/500 26. Find the missing term in the following sequence: 4, 9, 19, __, 79 A. 36 B. 37 C. 38 D. 39 E. 40 27. How much money did Jessica's budget allow for housing in April of 2001? A. $617.80 B. $620.92 C. $622.50 D. $626.38 E. $633.20 28. What was the average amount of money that Jessica's budget allowed for clothing the first six months of 2001? A. $249.90 B. $250.40 C. $251.32 D. $253.33 E. $255.75 29. If Jessica only spent 20% instead of the 25% allotment for food in May of 2001, how much did she save? A. $131.10 B. $144.30 C. $148.32 D. $152.22 E. $153.33 30. Jonathan can type a 20 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document? A. 5 minutes B. 10 minutes C. 15 minutes D. 18 minutes E. 20 minutes 31. Of the following fractions, which is less than 2/3? A. 7/8 B. 5/6 C. 3/4 D. 3/5 E. 5/7 32. A hockey team won 6 games and lost 8. What is the ratio of wins to number of games? A. 6/8 B. 8/6 C. 3/7 D. 8/14 E. 6/7 33. Sue receives a base salary of $90 weekly plus a 12% commission on all sales. Sue had $3,000 in sales this week. How much did she make total? A. $375 B. $450 C. $480 D. $510 E. $525 34. If the perimeter of a rectangular house is 25 1/3 yards, and the length is 22 feet. What is the width? A. 16 feet B. 35 feet C. 37 feet D. 40 feet E. 42 feet 35. Jimmy made a 15% profit on the sale of a custom designed boat, and the original cost of the boat was $15,000. The boat sold for how much? A. $17,250.00 B. $16,540.44 C. $16,230.34 D. $15,980.55 E. $15,870.88 36. A recent study showed that an increase in body weight by 10 kilograms resulted in a 0.15% increase in heart disease. What fraction is equal to 0.15%? A. 3/2000 B. 2/750 C. 7/4000 D. 5/3462 E. 1/500 37. 6.334 x 104 = A. 0.0006334 B. 0.06334 C. 6334 D. 63340 E. 633400 38. If 3x + 5x = -8, then x + 1 = A. -2 B. -1 C. 0 D. 1 E. 2 39. Two angle in a triangle equal 120°. What is the measure of the third angle? A. 60° B. 70° C. 80° D. 90° E. 120° 40. Which of the following would be an appropriate unit to measure sugar for a cookie recipe? A. liters B. cups C. quarts D. kilograms E. pounds Answer Key 1. C 2. B 3. B 4. D 5. C 6. E 7. C 8. B 9. A 10. C 11. A 12. B 13. B 14. C 15. B 16. C 17. D 18. D 19. E 20. E 21. B 22. D 23. C 24. D 25. E 26. D 27. C 28. E 29. A 30. B 31. D 32. C 33. B 34. A 35. A 36. A 37. D 38. C 39. A 40. B 1 solutions Answer 106676 by edjones(7569)   on 2008-06-23 11:34:55 (Show Source): You can put this solution on YOUR website! We don't do homework. We help with problems you can't do. There is a limit of 5 problems/day.

Rectangles/146123: A rectangle has a area of X^3-6X^2+15X-28 square feet. Its width is X-4 feet. What is its length? 1 solutions Answer 106675 by edjones(7569)   on 2008-06-23 11:32:15 (Show Source): You can put this solution on YOUR website! A=L*w L=A/w (x^3-6x^+15x-28)/(x-4) Use long division or synthetic division. =x^2-2x+7 Ans. . Ed

Functions/145934: Algebra 2A-unit1- Functions Copyright California pass program practice 1-8-1 solve. you must use a function. The number of sodas purchased is N(x)=24x, where x is the number of cases of sodas. If five cases are purchased and three cans are sold, how many are left? the answer to this is 115 cases, which i cant seem to figure out. 1 solutions Answer 106649 by edjones(7569)   on 2008-06-23 02:03:07 (Show Source): You can put this solution on YOUR website! 24*5=120 cans purchased 120-3=117 left . Ed

Radicals/146090: This question is from textbook math dictionary what is 3513 divided by 5 with remainders not decimal 1 solutions Answer 106648 by edjones(7569)   on 2008-06-23 01:50:34 (Show Source): You can put this solution on YOUR website! 3513/5=702 3/5

Radicals/146097: (x-6x sq root x)=0 Solve for x In response to an inquiry -I was told to "use the conjugate". After yet another inquiry, I was given: (x-6x sq root x)(x+6x sq root x)=0(x+6x sq root x) = x squared -36xsquaredx and told to solve by factoring it out. I understand the conjugate part (kind of) but I've never seen -36xsquaredx! How do I factor this out? By the way, I know the answer is {0,1/36} and I still can't figure it out. This is an online course. I have searched the book and cannot find a sample of this problem anywhere. 1 solutions Answer 106647 by edjones(7569)   on 2008-06-23 01:47:43 (Show Source): You can put this solution on YOUR website! x-6x*sqrt(x)=0 -6x*sqrt(x)=-x 6x*sqrt(x)=x 36x^2*x=x^2 square each side 36x^3=x^2 36x^3-x^2=0 x^2(36x-1)=0 x=0 36x=1 x=1/36 . You also can do it the way suggested: (x-6x*sqrt(x))*(x+6x*sqrt(x))=(x+6x*sqrt(x)*0 Multiply each side by x+6x*sqrt(x) x^2-36x^3=0 This is the same as (x-y)(x+y)=x^2-y^2. Let y=6x*sqrt(x) 36x^3-x^2=0 Same as line 6 above. . Ed

Expressions-with-variables/146071: 5a+24b=109.60 16a+24b=171 Have got this far. I understand how to write it in elimination. Please show me how to write it correctly in substitution form 1 solutions Answer 106632 by edjones(7569)   on 2008-06-22 19:48:59 (Show Source): You can put this solution on YOUR website! 5a+24b=109.60 16a+24b=171 . Solved by pluggable solver: SOLVE linear system by SUBSTITUTION Solve: We'll use substitution. After moving 24*b to the right, we get: , or . Substitute that into another equation: and simplify: Error: 'Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115. Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115. '. Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115. Can't call method "invoke_solver" on an undefined value at /home/ichudov/project_locations/algebra.com/templates/Algebra/Solver/PerlSolver.pm line 115. error_location: 101 Permutations/146041: A pizza shop offers the following toppings: 8 different vegetables, 5 different meats, and 4 different cheeses. How many ways can 4 toppings be selected where: a.) All the toppings are vegetables b.) All the toppings are meat c.) There is only cheese on the pizza d.) There are 2 vegetables, 1 meat and 1 cheese e.) There are 3 meats and 1 cheese. What's your favorite combo? 1 solutions Answer 106628 by edjones(7569)   on 2008-06-22 19:09:01 (Show Source): You can put this solution on YOUR website! 8 different vegetables, 5 different meats, and 4 different cheeses. . We are looking for combinations since we are not interested in the order they are put on. . a) 8C4=70 b) 5C4=5 c) 4C4=1 d) 8C2=28 5C1=5 4C1=4 28*5*4=560 . e) 3C5=10 4C1=4 10*4=40 . Ed Complex_Numbers/146080: -8<_2x-5<11 1 solutions Answer 106627 by edjones(7569)   on 2008-06-22 18:52:09 (Show Source): You can put this solution on YOUR website! -8<2x-5<11 -3<2x<16 add 5 to each side. divide each side by 2. . Ed Length-and-distance/145656: Write an equation of the line that passes through the point at (4,4) and is perpendicular to the line whose equation is 2x+y=7??? 1 solutions Answer 106296 by edjones(7569)   on 2008-06-18 01:32:33 (Show Source): You can put this solution on YOUR website! 2x+y=7 y=-2x+7 slop-intercept form the slope (m) is -2. The slope of a line perpendicular to this line is the negative reciprocal of its slope: 1/2 or .5 y-y[1]=m(x-x[1]) point-slope form y-4=.5(x-4) y-4=.5x-2 y=.5x+2 Answer . Below is a graph of the 2 equations. The green line is y=.5x-2. Note that it goes through the point (4,4) . Ed . Circles/145659: What is the area of a circle with the circumference 18 pi centimeters?? 1 solutions Answer 106293 by edjones(7569)   on 2008-06-18 01:09:52 (Show Source): You can put this solution on YOUR website! A=pi*r^2 C=pi*d d=C/pi d=18pi/pi d=18 cm r=18/2=9 pi*9^2=81pi cm^2 area of the circle . Ed Rational-functions/145599: solve the following equation 3/z-3 + 5/z-1 = 8/z-2 A) z=-4 B) z=-6 C) z=4 D) z=6 1 solutions Answer 106292 by edjones(7569)   on 2008-06-18 01:04:32 (Show Source): You can put this solution on YOUR website! 3/(z-3) + 5/(z-1) = 8/(z-2) (3(z-1)(z-2))+(5(z-3)(z-2))=8(z-3)(z-1) Multiply each side by the LCM to eliminate fractions. 3(z^2-3z+2)+5(z^2-5z+6)=8(z^2-4z+3) 3z^2-9z+6+5z^2-25z+30=8z^2-32z+24 8z^2-34z+36=8z^2-32z+24 -2z+12=0 subtract the right side from the left. -2z=-12 z=6 . Ed Polynomials-and-rational-expressions/145466: Factor: 4x3y5z2 - 12x4y6z4 + 16x2y5z3. 9xy + 15xz - 30xw. 25x2 - 36. 5u3 - 80uy2. x2 + 6x + 5. 8x2 - 22x - 21. 18xy3 + 3xy2 - 10xy. 15x2 + 7x - 2. 25x2 + 20x + 4. 2x2 + 40x + 200. 1 solutions Answer 106291 by edjones(7569)   on 2008-06-18 00:48:42 (Show Source): You can put this solution on YOUR website! 25x2 - 36 =(5x+6)(5x-6) . Ed