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# Recent problems solved by 'edjones'

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 Divisibility_and_Prime_Numbers/240490: A circular coffee table has a diameter of 5 ft. What will it cost to have the top refinished if the company chares \$3 per square foot for the refinishing 1 solutions Answer 176191 by edjones(7794)   on 2009-11-18 18:20:15 (Show Source): You can put this solution on YOUR website!A=pi*r^2 pi*2.5^2=19.63...sq ft 19.63*3=\$58.90 . Ed
 Inequalities/240181: let f(x)=|3-7x| find all x for which f(x) >_ 101 solutions Answer 176066 by edjones(7794)   on 2009-11-18 00:09:06 (Show Source): You can put this solution on YOUR website! |3-7x|>=10 . 3-7x>=10 -7x>=7 x>=-1 . 3-7x<=-10 -7x<=-13 x<=13/7 . -1 . Ed
 Permutations/240193: how many three person teams can be chosen from a group of five people?1 solutions Answer 176065 by edjones(7794)   on 2009-11-17 23:56:37 (Show Source): You can put this solution on YOUR website!nCr=n!/((n-r)!r!) combination 5C3 = 5!/2*3!=5*4*3*2/4*3=10 . Ed
 Problems-with-consecutive-odd-even-integers/240192: the sum of a number and 2/5 of itself is 56. what is the number?1 solutions Answer 176064 by edjones(7794)   on 2009-11-17 23:51:26 (Show Source): You can put this solution on YOUR website!Let the number be x. x + 2x/5 = 56 5x+2x=280 7x=280 x=40 . Ed
 logarithm/240208: solve & give the exact answer. log(base)2 (x+3) - log(base)2 (x+1) =21 solutions Answer 176063 by edjones(7794)   on 2009-11-17 23:36:10 (Show Source): You can put this solution on YOUR website!log[2](x+3)-log[2](x+1)=2 2^(log[2](x+3))-2^(log[2](x+1)=2^2 (x+3)/(x+1)=4 x+3=4x+4 3x=-1 x=-1/3 . Ed
 logarithm/240210: Solve the exponential equation. e^(3x-5) -1=12821 solutions Answer 176061 by edjones(7794)   on 2009-11-17 23:13:27 (Show Source): You can put this solution on YOUR website!e^(3x-5) -1=1282 e^(3x-5)=1283 ln(ex^(3x-5)=ln(1283) 3x-5=7.167 3x=12.167 x=4.052 . Ed
 Geometry_Word_Problems/240112: find the distance between two parallel lines defined by the equations 3x+4y+5=0 and 3x+4y+2=01 solutions Answer 176060 by edjones(7794)   on 2009-11-17 23:00:38 (Show Source): You can put this solution on YOUR website!d=|Ax[0]+By[0]+C|/sqrt(A^2+B^2) distance formula from a point to another line. where x[0] and y[0] are the point and Ax+By+C=0 is the line. . 3x+4y+5=0 4y=-3x-5 y=-3x/4 - 5/4 (0, -5/4) is a point on the line. . 3x+4y+2=0 d=|3(0)+4(-5/4)+2|/sqrt(3^2+4^2) =|-5+2|/5 =3/5 . Ed .
 Rational-functions/240186: help with problem I keep getting the answer 2(x-5)2(x+5) but that isnt the correct answer the correct answer is 4(x+5)(x-5) i just dont understand how to get that answer and would really appreciate your help!1 solutions Answer 176052 by edjones(7794)   on 2009-11-17 22:12:43 (Show Source): You can put this solution on YOUR website!4x^2-100 =4(x^2-25) =4(x+5)(x-5) . Your answer 2(x-5)2(x+5)=4(x+5)(x-5) . Ed
 Functions/239705: PLEASE, PLEASE HELP ME!!! Given determine a and b so that i is a zero of the quartic. THANK YOU FOR ANY HELP YOU CAN GIVE!!!!1 solutions Answer 175873 by edjones(7794)   on 2009-11-17 01:18:37 (Show Source): You can put this solution on YOUR website!5x^4 - 3x^3 + ax^2 + bx - 7 = 0 f(i)=5-3(-i)-a+bi-7=0 -3(-i)-a+bi=2 because 5-7=-2 -3(-i)+bi=2+a . f(-i)=5-3i-a+b(-i)-7=0 If one zero is i then another must be -i. -3i-a+b(-i)=2 -3i+b(-i)=2+a . -3(-i)+bi=-3i+b(-i) Since they both equal 2+a. -3-b=3+b multiply each side by i. 2b=-6 b=-3 . a=-3(-i)-3i-2 a=-2 . It checks. This WAS tough! . Ed
 Complex_Numbers/239709: 3s squared +2 = -62 I subtracted 2 so that 3s squared = -60 and divided -60 by 3, giving me -20. I then had s squared = -20 and, since you can't have negative square roots, i put S= + or - 2 root 5, but im not sure if that is right. 1 solutions Answer 175871 by edjones(7794)   on 2009-11-16 23:57:37 (Show Source): You can put this solution on YOUR website!3s^2+2=-62 3s^2=-64 s^2=-64/3 s=+-8sqrt(-1/3) =8sqrt(1/3)i [i=sqrt(-1)] sqrt(1/3)=1/sqrt(3)=1/sqrt(3) * sqrt(3)/sqrt(3) = sqrt(3)/3 no sqrt in denominator. s=8sqrt(3)i/3, s=-8sqrt(3)i/3 . Ed
 Proportions/239712: What is 5 percent of 58?1 solutions Answer 175868 by edjones(7794)   on 2009-11-16 23:34:15 (Show Source): You can put this solution on YOUR website!58*.05=2.9
 Equations/239714: HELPPPP!!! solve each equation below. the worksheet is titled: double cross. g. x/2+2x/3=5 t. 5x/6-(3-x)/8=(4x+3)/12 s. 1/3(a+5)=7/2 b. (3k-8)/14+5/7=(k+1)/2 key: / means divide. Sorry i wish i could find out a way to write the divide sign as it is on the paper i have so it would be easier to understand. i put some in parentheses to show that that part goes ontop as the numerator. I am trying to help my little brother with his math and i am stuck on these problems!! PLEASE PLEASE help... he needs it badly!! help us!! THANK YOU!!!!!!!!!!!!1 solutions Answer 175866 by edjones(7794)   on 2009-11-16 23:32:55 (Show Source): You can put this solution on YOUR website!t) 5x/6 - (3-x)/8 = (4x+3)/12 20x-3(3-x)=2(4x+3) Multiply each side by the LCM (24) to eliminate fractions. 20x-9+3x=8x+6 15x=15 x=1 . Ed
 Functions/239720: analyze the graph of the function: R(x)= x^4+x^+10/x^2-100 What is the domain of R(x) what is the equation of the vertical asymptotes of R(x) wthat is the equation of the horizontal or oblique asymptote of R(x)1 solutions Answer 175865 by edjones(7794)   on 2009-11-16 23:21:14 (Show Source): You can put this solution on YOUR website!R(x)= x^4+x^2+10/x^2-100 Assuming that this is the problem. . Domain: x^2-100 =(x-10)(x+10) Factor. So x cannot equal 10 or -10 because there would be a division by zero error. Domain= All real numbers except 10 & -10. . Vertical asymptotes are at 10 & -10 . There is no horizontal or slant asymptote because the power of x in the numerator is greater than the power of x in the denominator by 2 degrees. . Ed . .
 percentage/239728: A school has a current enrollment of 528 students. That is an increase of 10% over last year. What was last year's enrollment?1 solutions Answer 175863 by edjones(7794)   on 2009-11-16 21:53:07 (Show Source): You can put this solution on YOUR website!Let x=last years enrollment 1.1x=528 x=528/1.1 =480 . Ed
 Inequalities/239727: where can i find free tutors to solve 3-6n-4<17?1 solutions Answer 175862 by edjones(7794)   on 2009-11-16 21:48:25 (Show Source): You can put this solution on YOUR website!3-6n-4<17 6n<18 n<3 . Ed
logarithm/239299: Find domain:
f(x)= log(x^2-7x+6)
f(x)= ln(log(2x+4))
f(x)= square root of (1-x^2)/x
[Square root is only for numerator]
Evaluate:
log -2(-2 subscript) square root of 4
1 solutions

Answer 175721 by edjones(7794)   on 2009-11-16 01:40:19 (Show Source):
You can put this solution on YOUR website!
f(x)= log(x^2-7x+6)
x^2-7x<=6 This is not allowed.
x^2-7x-6<=0
.
 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=73 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 7.77200187265877, -0.772001872658765. Here's your graph:

.
The domain is x(-infinity, (7-sqrt(73))/2) U ((7+sqrt(73))/2, infinity)
.
Ed

Rectangles/239304: i have a math problem that says my yard is 20 by 30 feet and i want to put a flower bed that boarders the yard. if the width is constant and i have 187ft^2 of flowers what is the width of the flower bed
1 solutions

Answer 175717 by edjones(7794)   on 2009-11-16 00:32:03 (Show Source):
You can put this solution on YOUR website!
Let x=how much you must increase the length of each side to have the area of the flower bed be 187'
(x+30)(x+20)-(30*20)=187 new area-old area=187
x^2+50x+600-600=187
x^2+50x-187=0
x/2 = 3.5/2 = 1.75' width of the flower bed is 1/2 of the increase in length of each side.
.
Ed
.
 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=3248 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 3.49561369755001, -53.49561369755. Here's your graph:

 Polynomials-and-rational-expressions/238605: An open rectangular gutter is made by turning up the sides of a piece of metal 20 in. wide. The area of the cross section of the gutter is 50in^2. Find the depth of the gutter.1 solutions Answer 175348 by edjones(7794)   on 2009-11-13 19:40:37 (Show Source): You can put this solution on YOUR website!Let each vertical side be x and the base=20-2x x(20-2x)=50 20x-2x^2=50 -2x^2+20x-50=0 -2(x^2-10x-+25)=0 (x-5)^2=0 x=5" depth . Ed
 Pythagorean-theorem/238643: One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides?1 solutions Answer 175343 by edjones(7794)   on 2009-11-13 19:16:32 (Show Source): You can put this solution on YOUR website!Let length of one side be x and the other x+2. a^2+b^2=c^2 x^2+(x+2)^2=10^2 x^2+x^2+4x+4=100 2x^2+4x-96=0 x^2+2x-48=0 (x+8)(x-6)=0 x=-8, x=6 The sides are 8 and 6. . Ed
 Functions/238508: find the domain of each rational function f(x)= 7x ____________ x^2+161 solutions Answer 175227 by edjones(7794)   on 2009-11-13 09:52:02 (Show Source): You can put this solution on YOUR website!All real numbers
 logarithm/238434: I tried everything and seem to never get the answer. Log(base 2)1/4 - log(base 3)1/81 = log(base 7)x1 solutions Answer 175170 by edjones(7794)   on 2009-11-13 03:06:55 (Show Source): You can put this solution on YOUR website!Log(base 2)1/4 - log(base 3)1/81 = log(base 7)x log[7](1/4)/log[7](2) - log[7](1/81)/log[7](3) Change the bases to base 7 =-2 -( -4) = 2 2=log[7](x) 7^2=7^log[7}(x) x=49 . Ed
 Triangles/237982: Couldn't figure this out!!! Using long division solve: (a3-b3) : (a-b) (it is a to 3rd power minus b to 3rd power).1 solutions Answer 174966 by edjones(7794)   on 2009-11-12 10:31:06 (Show Source): You can put this solution on YOUR website!This is a factor. a^3-b^3=(a-b)(a^2+ab+b^2) memorize this. . Ed
 Geometry_Word_Problems/237996: A square coffee table has an area of 1936 square inches. What is the length of each side of the table? 1 solutions Answer 174965 by edjones(7794)   on 2009-11-12 10:19:06 (Show Source): You can put this solution on YOUR website!sqrt(1936)=44"
 logarithm/238002: 4.6^x-76=01 solutions Answer 174964 by edjones(7794)   on 2009-11-12 10:16:22 (Show Source): You can put this solution on YOUR website!4.6^x-76=0 log[4.6](4.6^x)=log[4.6](76) x=log[4.6](76) =log[4.6](76)=ln(76)/ln(4.6) change of base formula. =4.3307.../1.526 =2.837... . Ed
 Probability-and-statistics/238007: Please help me solve this problem : the numbers 1,2,...,10 are written on ten cards and placed in a hat. cards are then draw one by one without replacement. find the probabilities of the following events: A: exactly three even numbers are obtained in the first five draws; B: exactly five draws are requied to get three even numbers; i.e. there are two even numbers in the first four draws, followed by an even number on the fifth draw; C: number 7 occurs on the 4th draw; D: the largest number obtained in the first three draws is 5. and thank you in advance1 solutions Answer 174962 by edjones(7794)   on 2009-11-12 09:58:23 (Show Source): You can put this solution on YOUR website!nCr=n!/((n-r)!r!) Combination of n things taken r at a time. . A)( 5C3 * 5C2)/10C5 = 10*10/252=.397 . B) ((5C2 * 5C2)/10C4) * 1/2 = (10*10)/210 * 1/2 =.238 . C) 1/10 if no cards have been drawn yet. . D) 5C3 / 10C3 = 10/120 = 1/12 . Ed
 Equations/238012: solve by factoring and using the principle of zero products (x+6)(x-5)=-101 solutions Answer 174954 by edjones(7794)   on 2009-11-12 08:45:46 (Show Source): You can put this solution on YOUR website!(x+6)(x-5)=-10 x^2+x-30=-10 x^2+x-20=0 (x+5)(x-4)=0 x=-5, x=4 . Ed
 Equations/238014: solve the equation for the given variable 4.9t-7.5m=13; t1 solutions Answer 174952 by edjones(7794)   on 2009-11-12 08:42:26 (Show Source): You can put this solution on YOUR website!4.9t-7.5m=13 4.9t=7.5m+13 49t=75m+130 t=(75m+130)/49 . Ed
 Probability-and-statistics/238029: Given eight cards, numbered 1-8, what is the probability that you could select each card in order, without replacing any cards?1 solutions Answer 174949 by edjones(7794)   on 2009-11-12 08:35:55 (Show Source): You can put this solution on YOUR website!1/8! =1/(8*7*6*5*4*3*2) =1/40320 . Ed
 Geometry_Word_Problems/238035: The area of the square that can be inscribed in a circle of radius 8 cm is (A) 256 cm2 (B) 128 cm2 (C) 64 2 cm2 (D) 64 cm21 solutions Answer 174947 by edjones(7794)   on 2009-11-12 08:30:16 (Show Source): You can put this solution on YOUR website!The square has a diagonal of 2*8=16 a^2+b^2=c^2 a=b 2a^2=16^2 a^2=16^2/2 =128 cm^2 . Ed
 Percentage-and-ratio-word-problems/238045: the lowest common denominator of the two fractions 5/48 and 5/18 is a) 96 b) 144 c) 288 d) 432 e) 8641 solutions Answer 174943 by edjones(7794)   on 2009-11-12 08:02:31 (Show Source): You can put this solution on YOUR website!96/18=5.33 No . 144/48=3 144/18=8 Yes
 Average/238044: Angelo’s marks on the first three tests are 10/20, 15/20, and 17/20 what mark would he have to get on the next test to make his average on all four tests 15/20 ? a) 15/20 b) 16/20 c) 17/20 d) 18/20 e) 20/201 solutions Answer 174942 by edjones(7794)   on 2009-11-12 07:57:30 (Show Source): You can put this solution on YOUR website!(10/20 + 15/20 + 17/20 + x)/4=15/20 x + 42/20 = 60/20 x=60/20 - 42/20 = 18/20 . Ed