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# Recent problems solved by 'Fombitz'

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 Exponents/346214: What is 5 to the power of 15?1 solutions Answer 247563 by Fombitz(13828)   on 2010-09-21 14:35:44 (Show Source):
 Probability-and-statistics/346137: A game consists of tossing a fair die and then (blindly) selecting a card from a 52 card deck. You win the to prize if the top number on your tossed die is a 1 and you draw a red card. What are the odds against your winning the top prize? 1 solutions Answer 247561 by Fombitz(13828)   on 2010-09-21 14:30:47 (Show Source): You can put this solution on YOUR website!Let's calculate the odds of actually winning first. P(1 on die)= P(red card)= P(1 and red)= So then P(not(1 and red))+P(1 and red)= P(not(1 and red))=1-P(1 and red) P(not(1 and red))= P(not(1 and red))= So the chances of not winning are In terms of odds, there is 1 chance of winning, 11 chances of not winning. Odds are 11:1 against winning.
 Linear-equations/346208: 2(z + 3)/3 =5 - z answer is 9/5 can anyone give me a full break down on why the answer is 9/5 im getting a totally incorrect answer please help 1 solutions Answer 247559 by Fombitz(13828)   on 2010-09-21 14:26:44 (Show Source): You can put this solution on YOUR website! Multiply both sides by . Take it from there and solve for .
 Equations/346182: a^3-2a^2-4a-8=0 How would I solve this?1 solutions Answer 247558 by Fombitz(13828)   on 2010-09-21 14:24:15 (Show Source): You can put this solution on YOUR website!You can graph it to find out how many roots are real. . . . . . . There is one real root. The other two are complex. I iterated using Newton's method, . . . The approximate complex roots are, from www.wolframalpha.com
 Functions/346186: what is the domain for the following functions : (11x+3)/(x-7) sqr(8x^2) +12 5(x-1)^5/21 solutions Answer 247557 by Fombitz(13828)   on 2010-09-21 14:17:13 (Show Source): You can put this solution on YOUR website!1. All except those that make 2. No restrictions, (,) 3. No restrictions, (,)
 Polynomials-and-rational-expressions/346204: Compare and contrast, in complete sentences, the difference between the products of y^2y^5 and (y^2)^5. Provide the expanded form and product of each. *** i dont understand the difference of these 1 solutions Answer 247556 by Fombitz(13828)   on 2010-09-21 14:15:11 (Show Source): You can put this solution on YOUR website!According to the law of exponents, In expanded form, While,
 Linear-equations/346196: -2/3 x = 5/9 the answer is -5/6 Im having problems solving linear equations with fractions can anyone give me a full break down as per why the answer is -5/6? i know -2/3 has to get multiplied to both sides for the x to be alone but i'm lost after that.1 solutions Answer 247552 by Fombitz(13828)   on 2010-09-21 13:58:47 (Show Source): You can put this solution on YOUR website! Multiply both sides by the multiplicative inverse of () which is (),
 Angles/346197: In triangle ABC, the measure of angle C is four times the measure of angle A, and the measure of angle B is 18° more than the measure of angle C. Find the measure of each angle of the triangle. how do i get a formula for this?1 solutions Answer 247551 by Fombitz(13828)   on 2010-09-21 13:55:32 (Show Source): You can put this solution on YOUR website!Since it's a triangle, you know that From the description, Now you can substitute into the first equation and only have as a variable. Solve for , then go back and solve for and .
 Radicals/346195: Please explain the steps on how to find the domain of 27x + 1 over the square root of 3 - x. Thank you1 solutions Answer 247550 by Fombitz(13828)   on 2010-09-21 13:53:35 (Show Source): You can put this solution on YOUR website!The domain is all of the x values where the function is defined. The square root is defined only when the argument is not negative. A function is defined when the denominator is not zero. So the square root argument can't be zero either. Solve for That's the only restriction. The domain of the function is then (,).
 Linear-equations/346152: x + 3y = 2 -x + y = 11 solutions Answer 247548 by Fombitz(13828)   on 2010-09-21 13:50:06 (Show Source): You can put this solution on YOUR website!1. 2. Add the equations together. Then from eq. 2,
 Travel_Word_Problems/346145: what is the speed of a plane that travels at a rate of 560 mph with a wind of r mph?1 solutions Answer 247547 by Fombitz(13828)   on 2010-09-21 13:47:34 (Show Source): You can put this solution on YOUR website!By with, you mean the plane and wind are in the same direction? If so, the plane speed, , is,
 Inequalities/346156: Solve. -9/4x>-1/81 solutions Answer 247546 by Fombitz(13828)   on 2010-09-21 13:46:00 (Show Source):
 Polynomials-and-rational-expressions/346162: 6-3x-2y+xy =3(2-x)-4(2-x) =(3-4)(2-x) Is this the correct way to do this problem? Thanks for all your help.1 solutions Answer 247545 by Fombitz(13828)   on 2010-09-21 13:44:05 (Show Source): You can put this solution on YOUR website!What are you solving for? which variable?
 Exponents/346190: Solve for the variable in each equation below. Show all your work. Provide a check for each answer. If a solution is undefined, state that in your answer. b/2 - b/5 =6 CHECK. Help me please, I'm stuck! Thank you!1 solutions Answer 247543 by Fombitz(13828)   on 2010-09-21 13:41:10 (Show Source): You can put this solution on YOUR website! Multiply both sides by . Now you're unstuck. Finish it and solve for .
 Expressions-with-variables/346188: Simplify your answers. Assume no denominators are 0. Show cancelling and factoring. y(2)-49/z(2)+z DIVIDED BY y+7/z HELP ME PLEASE! Thank you!!! :)1 solutions Answer 247542 by Fombitz(13828)   on 2010-09-21 13:39:54 (Show Source): You can put this solution on YOUR website!Show exponentiation by using the caret, ^. . . Dividing by a fraction is the same as multiplying by its reciprocal. . . . . . .
 Vectors/346177: two cars leave a crossroads at the same time. One heads north at 50 km/h and the other heads east at 70 km/h. How far apart are the cars after .5 h? after 2.0 h?1 solutions Answer 247540 by Fombitz(13828)   on 2010-09-21 13:35:50 (Show Source): You can put this solution on YOUR website!Rate*Time=Distance . . . Since they are traveling in perpendicular directions, you can use the Pythagorean theorem to calculate the distance between them (the hypotenuse). . . . Now you have the distance as a function of time. When , miles Do the same fo the other times.
 Equations/346184: (x+1)(X-2)=4 How would I solve if I set this equation to 0?1 solutions Answer 247537 by Fombitz(13828)   on 2010-09-21 13:30:15 (Show Source): You can put this solution on YOUR website!Use the FOIL method to expand the left hand side. Then subtract 4 from both sides of the equation.
 Equations/346135: Solve by the elimination method. 2r-7s=-38 7r+2s=791 solutions Answer 247536 by Fombitz(13828)   on 2010-09-21 13:29:25 (Show Source): You can put this solution on YOUR website!1. 2. Multiply eq. 1 by 7 and eq. 2 by (-2) and add them together. Then from eq. 1,
 Equations/346158: Draw graph that represents a line whose parametric equation are: x = 2t -4 and y = -t + 21 solutions Answer 247533 by Fombitz(13828)   on 2010-09-21 13:23:09 (Show Source): You can put this solution on YOUR website! Substitute into the y equation, . . .
 Rational-functions/346178: please factor completely 4c^2+9-12c What do I do first?1 solutions Answer 247532 by Fombitz(13828)   on 2010-09-21 13:21:06 (Show Source): You can put this solution on YOUR website! Oops! You're correct that is the answer. Sorry for screwing you up there. (2c-3)(2c-3)=4c^2-6c-6c+9=4c^2-12c+9 I will correct it on the website too. I could say I was just testing you but I just screwed up. Good work!
 Expressions-with-variables/346166: 2/3 (5x-1/6) - 3/4 = 1/41 solutions Answer 247530 by Fombitz(13828)   on 2010-09-21 13:20:20 (Show Source): You can put this solution on YOUR website! Multiply both sides by 12. Multiply both sides by 6.
 Probability-and-statistics/346172: What is the probability that a number selected at random from the first 500 positive integers is (exactly) divisible by 6 or 9?1 solutions Answer 247525 by Fombitz(13828)   on 2010-09-21 13:16:07 (Show Source): You can put this solution on YOUR website!There are numbers exactly divisible by 6 from 6 to 498. There are numbers exactly divisible by 9 from 9 to 495. There are numbers that are exactly divisible by 6 and 9 from 18 to 486, we don't want to double count those. There are 500 numbers total.
 Vectors/346134: Find the cross product of the <2, -1, 4> and <6, -2, 1>. Is the resulting vector perpendicular to given vector?1 solutions Answer 247506 by Fombitz(13828)   on 2010-09-21 11:27:46 (Show Source): You can put this solution on YOUR website!A=(,,) B=(,,) No, perpendicular vectors have a dot product equal to zero.
 Rate-of-work-word-problems/346096: A strong man takes two minutes to make one cut through a log. How long will he need to cut a ten-foot long log into four equal pieces?1 solutions Answer 247505 by Fombitz(13828)   on 2010-09-21 11:26:09 (Show Source): You can put this solution on YOUR website!1 cut yields 2 pieces. 3 cuts will yield 4 pieces. 1 cut takes 2 minutes. 3 cuts take 3(2) or 6 minutes.
 test/346095: Graph each equation. Check your work. -2x+5y=-101 solutions Answer 247504 by Fombitz(13828)   on 2010-09-21 11:24:39 (Show Source): You can put this solution on YOUR website!Find the intercepts. To find the x-intercept, set and solve for . (,) . . . To find the y-intercept, set and solve for . (,) . . . Plot the points and connect them with a line. . . .
 Distributive-associative-commutative-properties/346133: state the name of the property illustrated (x+4)+[-(x+4)]=01 solutions Answer 247503 by Fombitz(13828)   on 2010-09-21 11:20:38 (Show Source): You can put this solution on YOUR website!Additive inverse property
 Equations/346097: (1/y-1)/[2+(1/y-1)] please show how you got your answer thank you1 solutions Answer 247502 by Fombitz(13828)   on 2010-09-21 11:20:15 (Show Source): You can put this solution on YOUR website! Multiply numerator and denominator by
 Percentage-and-ratio-word-problems/346112: You have \$10,000 to invest. Some was invested at 6% and the other at 11% for one year. If you made \$800, how much was invested at each percentage?1 solutions Answer 247499 by Fombitz(13828)   on 2010-09-21 11:16:13 (Show Source): You can put this solution on YOUR website!Let be the amount at 6%, the amount at 11%. . . . 1. 2. Multiply eq. 1 by (-6) and add to eq. 2, Then from eq. 1, . . . \$6000 at 6% and \$4000 at 11%.
 Quadratic_Equations/346130: How do i solve this quadratic equation? x=^-b+√b^2-4ac 2a1 solutions Answer 247498 by Fombitz(13828)   on 2010-09-21 11:12:51 (Show Source): You can put this solution on YOUR website! That's not a quadratic equation, it's the quadratic formula. It's the solution to the quadratic equation,
 Quadratic_Equations/346128: How do I solve this quadratic equation? x^2-5x-14=01 solutions Answer 247497 by Fombitz(13828)   on 2010-09-21 11:10:35 (Show Source): You can put this solution on YOUR website!Factor, Two solutions: . . .