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# Recent problems solved by 'edjones'

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 Square-cubic-other-roots/146522: X 3/2 = 1251 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 = 21 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^2-41 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 degrees1 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 - 361 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^21 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
 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 decimal1 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<111 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=61 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