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# Recent problems solved by 'edjones'

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 Angles/155103: The measures of two angles are in the ratio 5:3. The measure of the larger angle is 30 greater then half the difference of the angles. Find the measure of each angle. I have: L=30+.5(L-S) L/S=5/3 or 3L=5S1 solutions Answer 114277 by edjones(7569)   on 2008-09-05 02:31:15 (Show Source): You can put this solution on YOUR website!Let b be the bigger and s the smaller. 5s=3b s=3b/5 . 2b=60+b-s Multiply each side by 2 to eliminate the fraction. Substitute for s. 10b=300+5b-3b Multiply each side by 5 to eliminate the fraction. 8b=300 b=37.5 s=22.5 . Ed
 Expressions-with-variables/155183: I need the answer to this problem: 4(5-2x) _______ 5 = x1 solutions Answer 114276 by edjones(7569)   on 2008-09-05 02:03:49 (Show Source): You can put this solution on YOUR website!4(5-2x)/5=x (20-8x)/5=x 20-8x=5x Multiply each side by 5 to eliminate th fraction. 13x=20 x=20/13 . Got it? Ed
 Equations/155185: This question is from textbook 3+2x=5x - 91 solutions Answer 114275 by edjones(7569)   on 2008-09-05 01:58:34 (Show Source): You can put this solution on YOUR website!3+2x=5x-9 -5x+3+2x=-5x+5x-9 -3x+3=-9 -3-3x+3=-3-9 -3x=-12 -3x/-3=-12/-3 x=4 . Ed
 expressions/155195: How do you solve for: a + 4 = 9.6 and 3f = -21.6? You have to switch the signs, like the first problem, do subtraction, and the second problem do division. You have to solve the number closest to the variable.1 solutions Answer 114274 by edjones(7569)   on 2008-09-05 01:46:11 (Show Source): You can put this solution on YOUR website!a+4=9.6 a=5.6 Subtract 4 from each side . 3f=-21.6 f=-7.2 Divide each side by 3. . Ed
 Polynomials-and-rational-expressions/155197: Dennis needs to fence a rectangular pasture. One side borders a river and needs no fencing. he has 1150 ft of fence. **Note** The picture shows x is the length write an expression for the area f the pasture in terms of x 1 solutions Answer 114273 by edjones(7569)   on 2008-09-05 01:31:38 (Show Source): You can put this solution on YOUR website!P=2L+2w If we don't need an L then: L+2w=1150 . Ed
 Average/155211: This isn't a test or textbook question. Here is the question: Mary bowled 199 and this raised her average from 177 to 178. To raise her average to 179 with the next game, what must she bowl? Quick help would be appreciated, thanks a lot, Cameron.1 solutions Answer 114272 by edjones(7569)   on 2008-09-05 01:27:52 (Show Source): You can put this solution on YOUR website!Let x=number of games she bowled. Average=total scores of all games bowled / x 178(x+1)=177x+199 178x+178=177x+199 x=21 number of games bowled to get 177 average. The 199 score was game #22 . Let y=the game score required to raise her average to 179. (178*22)+y=179*23 3916+y=4117 y=201 . Ed
 Functions/155212: WHY DOES -3-20=-231 solutions Answer 114266 by edjones(7569)   on 2008-09-05 00:59:53 (Show Source): You can put this solution on YOUR website!If +20+3=33 then -3-20=-33
 Rational-functions/154999: The Directions state: Write the equation of the quadratic function in standard form y = a ( x - h ) ^ 2 + k. Given the vertex is ( -1 , -4 ) and passes through the point ( -2 , -6 ).1 solutions Answer 114120 by edjones(7569)   on 2008-09-04 00:51:32 (Show Source): You can put this solution on YOUR website!(h,k)=(-1,-4) (x,y)=(-2,-6) y=a(x-h)^2+k -6=a(-2-(-1))^2+(-4) -6=a(-1)^2-4 -6=a-4 a=-2 y=-2(x+1)^2-4 =-2(x^2+2x+1)-4 =-2x^2-4x-6 Check the graph. . Ed .
 Rational-functions/154998: The Directions state: Write the equation of the quadratic function in standard form y = a ( x - h ) ^ 2 + k. Given the vertex is ( 2 , 1 ) and passes through the point ( 5 , 2 ).1 solutions Answer 114118 by edjones(7569)   on 2008-09-04 00:24:49 (Show Source): You can put this solution on YOUR website!(h,k)=(2,1) (x,y)=(5,2) y=a(x-h)^2+k 2=a(5-2)^2+1 2=9a+1 9a=1 a=1/9 y=(1/9)(x-2)^2+1 =(1/9)(x^2-4x+4)+1 =(x^2/9)-(4x/9)+(13/9) As you can see from the graph below the graph fulfills the criteria. . Ed .
 Age_Word_Problems/154915: This question is from textbook Algebra Structure and Method The gym is 21 years newer than the auditorium. The gym is also one fourth as old as the auditorium. How old is each building?1 solutions Answer 114116 by edjones(7569)   on 2008-09-03 23:56:46 (Show Source): You can put this solution on YOUR website!Let g=age of gym, a=age of auditorium g=a-21 g=a/4 a-21=a/4 4(a-21)=a 4a-84=a 3a=84 a=28 g=7 . Ed
 Polynomials-and-rational-expressions/154952: i cannot figure out this question at all : 4a^4 b - 9a^2 b^31 solutions Answer 114115 by edjones(7569)   on 2008-09-03 23:42:17 (Show Source): You can put this solution on YOUR website!It is a factoring problem. 4a^4 b - 9a^2 b^3 =a^2b(4a^2-9b^2) =a^2b(2a-3b)(2a+3b) . Ed
 Equations/154959: 4=4/9+y 1 solutions Answer 114114 by edjones(7569)   on 2008-09-03 23:36:11 (Show Source): You can put this solution on YOUR website!4=4/(9+y) I assume that this is the problem. 4(9+y)=4 multiply each side by (9+y) to eliminate fractions. 36+4y=4 4y=4-36 4y=-32 y=-32/4 y=-8 . Ed
 Functions/154957: the product of 15 and c?1 solutions Answer 114113 by edjones(7569)   on 2008-09-03 23:31:05 (Show Source): You can put this solution on YOUR website!15c
 Rational-functions/155000: Directions state: Factor the polynomial. 256x^5 - 81x^31 solutions Answer 114112 by edjones(7569)   on 2008-09-03 23:27:48 (Show Source): You can put this solution on YOUR website!256x^5 - 81x^3 =x^3(256x^2-81) =x^3(16x-9)(16x+9) . Ed
 Money_Word_Problems/154978: This question is from textbook A plumber and his assistant work together to replace the pipes in an old house. The plumber charges \$45 an hour for his own labor and \$25 an hour for his assistant's labor. The plumber works twice as long as his assistant labor on this job, and the labor charge on the final bill is \$4025. How long did the plumber and his assistant work on this job?1 solutions Answer 114111 by edjones(7569)   on 2008-09-03 23:21:23 (Show Source): You can put this solution on YOUR website!Let p=plumber's time and a=assistants time p=2a 45p+25a=4025 (45*2a)+25a=4025 Substitute. 90a+25a=4025 115a=4025 a=4025/115 =35hrs p=70hrs . Ed
 Rational-functions/154995: This question is from textbook PRENTINCE HALL MATHEMATICS ALGEBRA 2 1/2{3C+5} = 6C+41 solutions Answer 114110 by edjones(7569)   on 2008-09-03 23:09:50 (Show Source): You can put this solution on YOUR website!1/2{3C+5} = 6C+4 3c+5=12c+8 Multiply each side by 2 -9c=3 add -12c-5 to each side c=-1/3 divide each side by -9. . Ed
 Polynomials-and-rational-expressions/154519: What is the most in debt a company will be if debt represents negative profit, p(t), and p(t)=t^2-5t-50 with p(t) in units of \$1000 and t=fiscal quarters a. -\$50,000 b. 2.5 fiscal quarters c. -\$56,250 d. 56.25 fiscal quarters1 solutions Answer 113859 by edjones(7569)   on 2008-09-01 23:40:16 (Show Source): You can put this solution on YOUR website!y=x^2-5x-50 minimum at x=-b/2a=5/2= (5/2)^2-5(5/2)-50=y 25/4-25/2-50=y 25/4-50/4-200/4=-225/4=-56.25 -56.25*1000=-\$56,250 . Ed .
 Inequalities/154539: Solve and show three forms of the solution: absolute value bar x+3 absolute value bar <_ -6 (less than or equal to)1 solutions Answer 113857 by edjones(7569)   on 2008-09-01 23:19:36 (Show Source): You can put this solution on YOUR website!|x+3|<=-6 There is no answer because an absolute cannot be negative. . Ed
 test/154621: hey, i would greatly appreciate it if you could solve this combinatorics problem for me (n+2)!/n! = 561 solutions Answer 113855 by edjones(7569)   on 2008-09-01 23:16:31 (Show Source): You can put this solution on YOUR website!(n+2)!/n! = 56 ((n+2)(n+1)*n!)/n!=56 (n+2)(n+1)=56 n^2+3n+2=56 n^2+3n-54=0 (n+9)(n-6)=0 n=-9, n=6 . Ed
 absolute-value/154544: Remember to isolate the absolute value. |x | = 6 |3x + 2| = 14 - 5| x + 1| = -10 |x - 2| + 10 = 12 |x| = - 5 |2x + 6| - 4 = 20 6 - 3|2x + 6| = 0 10 - |x + 2| = 12 1 solutions Answer 113854 by edjones(7569)   on 2008-09-01 23:06:37 (Show Source): You can put this solution on YOUR website!To solve these: 1) Get everything not in the absolute sign on the right side of the equal sign. 2) Solve the equation. 3) Multiply everything on the right side of the equal sign by -1. 4) Solve that equation. . |2x + 6| - 4 = 20 |2x+6|=24 2x+6=24 2x=18 x=9 . |2x+6|=24 2x+6=-24 2x=-30 x=-15 . . 6 - 3|2x + 6| = 0 -3|2x+6|=-6 |2x+6|=2 2x+6=2 2x=-4 x=-2 . |2x+6|=2 2x+6=-2 2x=-8 x=-4 . . 10 - |x + 2| = 12 -|x+2|=2 |x+2|=-2 An absolute cannot be negative. There is no answer. . Ed
 real-numbers/154492: covert 3.0m to cm1 solutions Answer 113852 by edjones(7569)   on 2008-09-01 22:36:16 (Show Source): You can put this solution on YOUR website!3*100=300cm
 Distributive-associative-commutative-properties/154525: This question is from textbook Prentice Hall Mathematics Algebra 1 144(15/6b+8/9)1 solutions Answer 113851 by edjones(7569)   on 2008-09-01 22:34:02 (Show Source): You can put this solution on YOUR website!144((15/6b)+(8/9)) I assume that this is the problem. =(2160/6b)+(1152/9) =360/b + 128 =(360+128b)/b . Ed
 Numeric_Fractions/154565: Consider the following formula: a = 1/2 b - 4 which of the following statements is true for this formula? A. When the value of b is less than 8, a is negative. B. When the value of b is greater then 8, a is negative. C. When the value of b is less than 8, a is positive. D. When the value of b is greater then 4, a is positive.1 solutions Answer 113850 by edjones(7569)   on 2008-09-01 22:24:51 (Show Source): You can put this solution on YOUR website!a = 1/2 b - 4 . A) Let b=4 4/2-4=-2 Let b=8 8/2-4=0 True . Ed
 Inequalities/154573: Divide/reduce to lowest terms: Y+5/Y-2 divided by Y/Y+3 1 solutions Answer 113849 by edjones(7569)   on 2008-09-01 22:18:12 (Show Source): You can put this solution on YOUR website!((Y+5)/(Y-2))/(Y/(Y+3)) =((y+5)/(y-2))*((y+3)/y) =((y+5)(y+3))/(y(y-2)) =(y^2+8y+15)/(y^2-2y) . Ed
 Points-lines-and-rays/154588: H is between I and J. HI= 3.9 and HJ= 6.2. Find IJ.1 solutions Answer 113848 by edjones(7569)   on 2008-09-01 22:06:00 (Show Source): You can put this solution on YOUR website!6.2-3.9=2.3 Answer.
 Points-lines-and-rays/154590: H is between I and J. H is the midpoint of line IJ, and IH = 0.75. Find HJ.1 solutions Answer 113847 by edjones(7569)   on 2008-09-01 22:04:06 (Show Source): You can put this solution on YOUR website!.75
 Functions/154594: find the domain of the square root of 4-x^2/ x-31 solutions Answer 113846 by edjones(7569)   on 2008-09-01 22:02:54 (Show Source): You can put this solution on YOUR website!4-x^2/ x-3 All real numbers except x=3. Division by zero is not allowed. . Ed
 Exponents/154604: The question in my homework is: Write the answer using positive exponents only [2x5y^-4/3y^-2]^2 I know I need to flip to make them positive but have been wracking my brain trying to figure out where to go from there 1 solutions Answer 113844 by edjones(7569)   on 2008-09-01 21:55:33 (Show Source): You can put this solution on YOUR website![2x5y^-4/3y^-2]^2 =[2x3y^2/5y^4]^2 =[6x/5y^2]^2 =36x^2/25y^4 . Ed
 Inequalities/154610: find the lowest common denominator of 3/x +7/5x but not adding the fraction?1 solutions Answer 113842 by edjones(7569)   on 2008-09-01 21:45:38 (Show Source): You can put this solution on YOUR website!5x
 Travel_Word_Problems/154286: If a car is traveling 80 mph how far will it travel in five minutes1 solutions Answer 113606 by edjones(7569)   on 2008-08-31 01:13:12 (Show Source): You can put this solution on YOUR website!speed * time = distance 80 * 5/60 = 400/60 = 20/3 miles . Ed
 Expressions-with-variables/154104: this problem has a pair of similiar triangles one inside the other and it reads like this. For the pair of similar triangles, find the length of the indicated side. In the outer triangle, the shortest side has length 6, the middle side has length 9. In the inner triangle, the shortest side has length 2, the middle side has length 3, and the longest side has length 4. Find the length, x, of the longest side of the outer triangle.1 solutions Answer 113605 by edjones(7569)   on 2008-08-31 00:59:26 (Show Source): You can put this solution on YOUR website!2/6=3/9=4/x 2*3=6, 3*3=9, 4*3=12 answer