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# Recent problems solved by 'Alan3354'

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 Polynomials-and-rational-expressions/460134: -2y/7y-21 solutions Answer 315603 by Alan3354(31532)   on 2011-06-12 04:06:22 (Show Source): You can put this solution on YOUR website!What's your question?
 Probability-and-statistics/460023: A bag contains 7 lavender marbles, 11 turquoise marbles and 5 rainbow marbles. What is the chance of drawing a rainbow marble? If a rainbow marble is drawn then placed back into the bag, and a second marble is drawn, what is the probability of drawing a lavender marble? Give solutions exactly in reduced fraction form, separated by a comma. 1 solutions Answer 315602 by Alan3354(31532)   on 2011-06-12 04:05:46 (Show Source): You can put this solution on YOUR website!Lav's are 7 out of 23 Chance is 7/23 The 1st drawing has no effect. I don't know where to put a comma.
 Equations/460133: 2(5X+1)=3(3X+7)=1 solutions Answer 315601 by Alan3354(31532)   on 2011-06-12 04:02:36 (Show Source): You can put this solution on YOUR website!Too many equal signs
 Linear-equations/460132: Find the equation of the line containing the point and perpendicular to the given line. (0,–7); 4x + 3 = y please show work.1 solutions Answer 315600 by Alan3354(31532)   on 2011-06-12 04:02:06 (Show Source): You can put this solution on YOUR website!Find the equation of the line containing the point and perpendicular to the given line. (0,–7); 4x + 3 = y --------- y = 4x + 3 is in slope-intercept form, so slope = 4 Lines perpendicular have a slope that's the negative inverse, m = -1/4 Use y = mx + b and the point to find b -7 = m*0 + b b = -7 --------- --> y = (-1/4)x - 7 x + 4y = -28
 Probability-and-statistics/460104: how many ways can a person select 7 television commercials from 11 television commercials?1 solutions Answer 315599 by Alan3354(31532)   on 2011-06-12 03:52:19 (Show Source): You can put this solution on YOUR website!11*10*9*8*7*6*5 = 11!/4! = 1663200
 Inequalities/460107: convert to a percent. 4.51 solutions Answer 315598 by Alan3354(31532)   on 2011-06-12 03:50:21 (Show Source): You can put this solution on YOUR website!= 450%
 Linear-equations/460129: Find the value of r so that the line through (5,r)and (2,-3)has a slope of 4/3 I know I did some thing wrong I just don't know what please help me out thanks This is what I did m = y2-y1 / x2-x1 slope Formula 4/3 = -3-r /2-5 Let (5,r)= (x1,y1) and (2,-3)= x2,y2) 4/3 = -3-r / 3 Subtact 4(-3-r) = 3(3) Find the cross products 10+4r = 9 Simplify 35r = 39 Add 30 to each side and simplify 11.6 = 13 Divide each side by 3 and simplify So the line goes threw 1 solutions Answer 315597 by Alan3354(31532)   on 2011-06-12 03:12:54 (Show Source): You can put this solution on YOUR website!Find the value of r so that the line through (5,r)and (2,-3)has a slope of 4/3 Slope m = diffy/diffx m = (-3-r)/(2-5) = 4/3 (-3-r)/(-3) = 4/3 (3+r) = 4 r = 1 -------------- This is what I did m = y2-y1 / x2-x1 slope Formula 4/3 = -3-r /2-5 Let (5,r)= (x1,y1) and (2,-3)= x2,y2) 4/3 = -3-r / 3 Subtact ***** DEN is -3 4(-3-r) = 3(3) Find the cross products *********** should be 4*-3 = 3*(-3-r) -12 = -9-3r etc 10+4r = 9 Simplify 35r = 39 Add 30 to each side and simplify 11.6 = 13 Divide each side by 3 and simplify
 Quadratic_Equations/460083: find a quadratic equation with the given solution: a)3 + or - sqrt of 5 b)(1 + or - sqrt of 5)/21 solutions Answer 315589 by Alan3354(31532)   on 2011-06-12 02:05:23 (Show Source): You can put this solution on YOUR website!find a quadratic equation with the given solution: a)3 + or - sqrt of 5 ------------ b)(1 + or - sqrt of 5)/2 ---------
 Travel_Word_Problems/460119: It takes Kenny 3 hours to pedal a tamdem bicycle from one end of town to the other. If Dolly pedals with him, they can make the trip in 2 hours. How long would it take Dolly to travel from one end of town to the other alone? 1 solutions Answer 315588 by Alan3354(31532)   on 2011-06-12 01:53:41 (Show Source): You can put this solution on YOUR website!It takes Kenny 3 hours to pedal a tamdem bicycle from one end of town to the other. If Dolly pedals with him, they can make the trip in 2 hours. How long would it take Dolly to travel from one end of town to the other alone? -------------- This is not a good problem. The implication is that 2 people can move faster than one person alone, or that a posse on horses is faster than one horse. It's better than the one about the bicycle going upwind and downwind, tho. -------------- 1/3 + 1/D = 1/2 1/D = 1/2 - 1/3 = 1/6 Dolly alone takes 6 hours is the expected answer.
 Exponential-and-logarithmic-functions/460065: 5^x+1 = e^x-11 solutions Answer 315587 by Alan3354(31532)   on 2011-06-12 01:50:21 (Show Source): You can put this solution on YOUR website!What are the exponents? 5^(x+1) = e^(x-1) ? -------------- (x+1)*ln(5) = x-1 x*ln(5) + ln(5) = x - 1 x*ln(5) - x = -1 - ln(5) x*(ln(5) - 1) = -1 - ln(5) x = (1 + ln(5))/(1 - ln(5)) x =~ -4.28171
 Circles/460067: f a cylinder has a bore of 80.5mm and a volume of 32.4cc solve for height in MM1 solutions Answer 315573 by Alan3354(31532)   on 2011-06-11 23:20:18 (Show Source): You can put this solution on YOUR website!Assuming the bore is a diameter, r = 40.25 mm = 4.025 cm cm h =~ 0.6366 cm h = 6.366 mm
Numbers_Word_Problems/460074: Solve the following quadratic equations by factoring.
x2 + x - 20 = 0
x = 5
x = 4
x = 4 or x = -5
x = -4 or x = 5
4. 2x2 – 15 = –7x
x = 1.5 or x = -3
x = 1.5 or x = -5
x = 3 or x = -5
x = 1.5 or x = 5

5. 3x2 – 5x = 2
x = 1/3 or x = 3
x = 1/3 or x = 2
x = -1/3 or x = 2
x = - 1/3 or x = 3

6. 3x2 + 3 = 10x
x = 1/3 or x = 3
x = 1/3 or x = 2
x = -1/3 or x = 2
x = - 1/3 or x = 3

x2 + 7x + 9 = 0

8. x2 + 6x = 0
x = 1 or x = 6
x = 0 or x = 6
x = 0 or x = -6

9. 15x2 – 7x – 2 = 0
x = 2/3 or x = -1/5
x = -2/3 or x = 1/5
x = 3/2 or x = -5
x = -3/2 or x = 5

10. x2 - 9x + 5 = 0

1 solutions

Answer 315569 by Alan3354(31532)   on 2011-06-11 23:15:07 (Show Source):
You can put this solution on YOUR website!
9. 15x2 – 7x – 2 = 0
-------------
 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) 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=169 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.666666666666667, -0.2. Here's your graph:

----------
Ignore the incorrect factoring by the solver.
x = -1/5
x = 2/3
Do the others the same way.

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