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Geometry_proofs/517551: Write a two-column proof- Given: Angle ABD is congruent to angle YXZ Prove: Angle CBD is congruent to angle WXZ 1 solutions Answer 344818 by solver91311(16897)   on 2011-10-18 22:32:26 (Show Source): You can put this solution on YOUR website! And are we just supposed to guess what your diagram looks like? C'mon, use your head for something besides a hat rack. John My calculator said it, I believe it, that settles it

Human-and-algebraic-language/517413: you have 30 tokens for playing video games and pinball. it costs 3 tokens to play a video game and 2 tokens to play pinball. you want to play an equal number of video games and pinball games. use an algebraic model to find how many games of each you can play 1 solutions Answer 344761 by solver91311(16897)   on 2011-10-18 20:06:20 (Show Source): You can put this solution on YOUR website! Let represent the number of video games. Let represent the number of pinball games. Since we want the number of each to be equal: Since video games cost 3 and pinball costs 2 and we have 30 total: Substitute in place of (or vice versa if you like) and then solve the single variable equation. John My calculator said it, I believe it, that settles it

Surface-area/517408: what is the lateral surface area of a cube whose side length is 2.5? 1 solutions Answer 344758 by solver91311(16897)   on 2011-10-18 19:56:06 (Show Source): You can put this solution on YOUR website! The lateral surface area of a cube is the total surface area, that is the area of all six sides added together less the top and bottom. So the lateral surface area is 4 times the area of one side. John My calculator said it, I believe it, that settles it

Complex_Numbers/517383: How do you solve (3-2i)^2(3+2i)/(5-i)? The answer from the book is: 17/2 - 7/2 i I don't know how they got this answer. Please help! 1 solutions Answer 344756 by solver91311(16897)   on 2011-10-18 19:54:12 (Show Source): You can put this solution on YOUR website! First perform using FOIL: remembering that Then do Now you have: To rationalize the denominator, multiply the whole fraction by 1 in the form of the conjugate of the denominator divided by itself. Remember that if you have a number , then its conjugate is and that the product of two conjugates is the difference of two squares, so With careful arithmetic you will get an integer denominator that can be divided into each of the resulting coefficients in the numerator. Remember that 8.5 is the same as 17/2. John My calculator said it, I believe it, that settles it

test/517381: This season, Nora has 125 at-bats in softball. By The end of the season she wants to have at least 140 at-bats. How many more at-bats does Nora need to reach her goal? 1 solutions Answer 344750 by solver91311(16897)   on 2011-10-18 19:28:46 (Show Source): You can put this solution on YOUR website! Add -125 to 140. John My calculator said it, I believe it, that settles it

Inverses/517372: what is the multiplicitive inverse of -1 1 solutions Answer 344748 by solver91311(16897)   on 2011-10-18 19:27:54 (Show Source): You can put this solution on YOUR website! The multiplicative inverse of a number is a number such that . Clearly, . So what must you multiply by -1 in order to achieve a result of 1? By the way, the multiplicative inverse of a number is also referred to as the reciprocal of a number. The process is fairly straight-forward. Turn the number into a fraction (if it is an integer, make it a fraction with a denominator of 1), and then turn the fraction upside down. If you recall when you learned how to divide fractions ("invert and multiply") you were simply being taught that to divide, you multiply by the reciprocal or multiplicative inverse. John My calculator said it, I believe it, that settles it

Triangles/517368: Why can't x, 2x, and 3x represent the lengths of the sides of a triangle? 1 solutions Answer 344746 by solver91311(16897)   on 2011-10-18 19:18:04 (Show Source): You can put this solution on YOUR website! The sum of the measures of any two sides of a triangle must be STRICTLY greater than the measure of the third side. But hence no triangle. John My calculator said it, I believe it, that settles it

Geometry_proofs/517366: GIVEN: triangle ABC has vertices A(2,1) B(7,4) and C(4,-1) triangle DEF has vertices D(-3,1) E(0,-4) and F(-5,-1) PROVE: triangle ABC is congruent to triangle DEF (it is a 7 step proof) I understand that I need to utilize the distance formula to prove corresponding sides congruent, then use the SSS (side side side) postulate to prove the triangles congruent, but I do not understand how to fit this into seven steps. I also don't know whether to use properties of equality or not to justify my equations, but that would make the proof far too long. -thanks for the help. 1 solutions Answer 344745 by solver91311(16897)   on 2011-10-18 19:13:22 (Show Source): You can put this solution on YOUR website! Six uses of the distance formula (one for each side of each of the triangles) that is six steps. Then the one step to demonstrate SSS. QED. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/517359: what number can be added to or subtracted from a number and the sum or difference is the number you started with ? 1 solutions Answer 344744 by solver91311(16897)   on 2011-10-18 19:10:56 (Show Source): You can put this solution on YOUR website! Pretend you are standing somewhere on a number line. How far are you allowed to move and still be at the place you started? John My calculator said it, I believe it, that settles it

Linear-systems/517360: Please show me how to solve.....2x+y+x=180 thank you,Ashley 1 solutions Answer 344741 by solver91311(16897)   on 2011-10-18 19:08:33 (Show Source): You can put this solution on YOUR website! Solve it for what? There are an infinite number of ordered pairs in the solution set. Did you want to solve it for one of the variables in terms of the other, or did you want to graph it, or put it into Standard Form, or Slope-Intercept Form? Gimme a little help here, wouldja? John My calculator said it, I believe it, that settles it

Equations/517357: what is the answer to 7-1/6x=10/3x? 1 solutions Answer 344740 by solver91311(16897)   on 2011-10-18 19:05:56 (Show Source): You can put this solution on YOUR website! It depends. Since you didn't use any parentheses, it is impossible to tell whether you meant: for which you should have written 7 - (1/6)x = (10/3)x or for which you should have written 7 - 1/(6x) = 10/(3x) The two equations have very different solution sets. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/517242: how do i determine if a polynomial is the difference between two squares? 1 solutions Answer 344739 by solver91311(16897)   on 2011-10-18 18:58:39 (Show Source): You can put this solution on YOUR website! It is something squared then a minus sign and then something squared, like this: . Be careful though, the "something squared" might not necessarily look like something squared. For example: could be the difference of two squares if you let and . So really it is the difference of any two expressions, i.e. expression minus expression, where each of the two expressions can reasonably be considered to be the square of some other expression. John My calculator said it, I believe it, that settles it

test/517218: Solve the equation. 3t(t+5)-t2=2t2+4t-1 1 solutions Answer 344705 by solver91311(16897)   on 2011-10-18 17:01:24 (Show Source): You can put this solution on YOUR website! Distribute and remove parentheses in the RHS, then collect all terms in the RHS leaving zero in the LHS. The ugly little monster does not factor. Use the quadratic formula (or complete the square if you are a masochist). John My calculator said it, I believe it, that settles it

test/517216: Solve the equation. P2+(p+7)2=169 1 solutions Answer 344701 by solver91311(16897)   on 2011-10-18 16:34:59 (Show Source): You can put this solution on YOUR website! Can't do it. is not the same as , so you have two variables but only one equation. John My calculator said it, I believe it, that settles it

Rate-of-work-word-problems/517203: An experienced accountant can balance the books twice as fast as a new accountant. Working together it takes the accountants 6 hours. How long would it take the experienced accountant working alone? 1 solutions Answer 344698 by solver91311(16897)   on 2011-10-18 16:32:03 (Show Source): You can put this solution on YOUR website! If represents the amount of time taken by Mr. Fernwell working alone, then this is half as much time as , the amount of time taken by Nurlmann working alone. Since working together they take 6 hours, we note that they can do of the job in one hour. Further, working alone, Mr. Fernwell can do one of the job in one hour while Nurlmann would do only of the job in one hour. So: Solve for John My calculator said it, I believe it, that settles it

Complex_Numbers/517202: simply (2+4i)/(3i) 1 solutions Answer 344695 by solver91311(16897)   on 2011-10-18 16:23:36 (Show Source): You can put this solution on YOUR website! Multiply your fraction by 1 in the form of . Don't forget that John My calculator said it, I believe it, that settles it

Money_Word_Problems/517192: Bruce invested in stock paying 10.5% dividend. Maya invested $4000 more than Bruce in tax-free bonds payin 7.5% annual simple interest. If Maya's income from investment is $75 more than Bruce's, find how much money each invested 1 solutions Answer 344693 by solver91311(16897)   on 2011-10-18 16:17:11 (Show Source): You can put this solution on YOUR website! Let represent the amount invested at 10.5% and then is them amount invested at 7.5%. The amount of return on the 10.5% investment is then and the return on the 7.5% investment is Then the 10.5% investment earnings plus $75 is the same as the 7.5% investment. Solve for , then calculate John My calculator said it, I believe it, that settles it

Average/517152: if i am taking a test of 150 questions how much is each question worth 1 solutions Answer 344692 by solver91311(16897)   on 2011-10-18 16:05:58 (Show Source): You can put this solution on YOUR website! It depends on the number of points possible for the test. Number of possible points for the whole test divided by 150. If you want a percentage grade, then there are 100 possible percentage points for the whole test. John My calculator said it, I believe it, that settles it

Quadratic_Equations/517179: 19.   Simplify this expression: 19 – (–8) – (–14) = ?      A. 41 B. –3 C. 25 D. –7 6.   Simplify the following expression: 35 + (–13) + (+8) – (–6).      A. 44 B. 24 C. 36 D. 50 9.   Solve this inequality: 3p – 16 < 20.      A. p < 11/3 B. p < –12 C. p < 1/3 D. p < 12 1 solutions Answer 344690 by solver91311(16897)   on 2011-10-18 15:54:18 (Show Source): You can put this solution on YOUR website! One problem per post. John My calculator said it, I believe it, that settles it

Square-cubic-other-roots/517165: x^-75=0. Im having a hard time with this problem please help solve 1 solutions Answer 344689 by solver91311(16897)   on 2011-10-18 15:50:22 (Show Source): You can put this solution on YOUR website! I'm presuming you mean: (Note: ^ does NOT mean "squared", it means "raised to the power of" the expression following the ^. If you meant as I suspect, then you needed to have written x^2 - 75 = 0) This is nothing more than the difference of two squares. But 75 is not a perfect square, you complain. Well, yes it is, sort of. It is the perfect square of , right? So re-write the equation: Or better yet, recognize that and then write: Then follow the conjugate factors of the difference of two squares pattern, i.e. , to factor your LHS: And then just apply the Zero Product Rule. John My calculator said it, I believe it, that settles it

Functions/517162: find the domain of the following function: (1/x)+(2x/x^2-36) 1 solutions Answer 344684 by solver91311(16897)   on 2011-10-18 15:39:19 (Show Source): You can put this solution on YOUR website! When you want to find the domain of a function, start with the set of real numbers. Then find any possible values of the independent variable (that is the in most cases, and indeed in this case) that make the function undefined. If the function contains rational expressions (that is, fractions), any value of the independent variable that would make any denominator in the function be equal to zero must be excluded from the domain. So set each of your denominators equal to zero and solve for the values that must be excluded. The your domain is the set of real numbers excluding those values. John My calculator said it, I believe it, that settles it

Money_Word_Problems/517158: A copy machine makes 36 copies per minute. How long does it take to make 198 copies? 1 solutions Answer 344682 by solver91311(16897)   on 2011-10-18 15:33:36 (Show Source): You can put this solution on YOUR website! Divide 198 by 36. Answer is in minutes. John My calculator said it, I believe it, that settles it

Graphs/517071: Graph this equation please ASAP. X + 5 = 2x-7 1 solutions Answer 344641 by solver91311(16897)   on 2011-10-18 12:51:24 (Show Source): You can put this solution on YOUR website! The answer to this depends a great deal on whether X and x are the same thing or two different things. John My calculator said it, I believe it, that settles it

Geometry_Word_Problems/517067: Find the length of a rectangle with a perimeter of 132 m if the length is 8 m more than the width 1 solutions Answer 344640 by solver91311(16897)   on 2011-10-18 12:47:47 (Show Source): You can put this solution on YOUR website! If a rectangle with perimeter has a length that is units longer (or shorter if ) than times the width, , Then knowing that the Perimeter is given by: , make the substitution: Then solve for For your problem: , , and . Do the arithmetic. John My calculator said it, I believe it, that settles it

Rational-functions/517068: A man walking 6 miles in 5 hours has an average speed of what? 1 solutions Answer 344634 by solver91311(16897)   on 2011-10-18 12:36:23 (Show Source): You can put this solution on YOUR website! Rate (meaning average speed) is equal to the distance divided by the time. John My calculator said it, I believe it, that settles it

Exponents/517053: I am suppose to rewrite the variable expression with a common denominator. 4t/9w^2,5/6wt. The book says the answer is 8t^2/18w^2t,15w/18w^2t. I do not understand how to get that answer. 1 solutions Answer 344632 by solver91311(16897)   on 2011-10-18 12:34:36 (Show Source): You can put this solution on YOUR website! Break down each of the denominators into its prime factors: 2 occurs most frequently in and it occurs 1 time 3 occurs most frequently in and it occurs 2 times occurs most frequently in and it occurs 2 times occurs most frequently in and it occurs 1 time. The Lowest Common denominator then needs one 2, two 3s, 2 s, and 1 , that is to say: Then since we need to multiply the first fraction, by 1 in the form of , to wit: Do the other one the same way. John My calculator said it, I believe it, that settles it

Geometry_Word_Problems/517052: how many square feet in a flower box 13 feet in diameter 1 solutions Answer 344623 by solver91311(16897)   on 2011-10-18 11:40:23 (Show Source): You can put this solution on YOUR website! The area of a circle is given by and . Calculate the radius from the given diameter, then plug it into the formula. Do the arithmetic. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/517045: An airplane takes the same time to travel 2500 km with the wind as it does to travel 1900 km against the wind. If its speed relative to the air is 450 km/hr, what is the speed of the wind? 1 solutions Answer 344622 by solver91311(16897)   on 2011-10-18 11:36:35 (Show Source): You can put this solution on YOUR website! Time equals distance divided by rate. With the wind, the wind speed adds, against the wind, the wind speed subtracts. Hence: Solve for John My calculator said it, I believe it, that settles it

Probability-and-statistics/517043: in a bag there are 11 red buttons,4 green buttons ,1 blue buttons and some yellow buttons the chances of choosing a yellow buttons 1 in 3 how many yellows are there 1 solutions Answer 344613 by solver91311(16897)   on 2011-10-18 11:19:32 (Show Source): You can put this solution on YOUR website! If the probability of pulling a yellow is 1 in 3, then the probability of not pulling a yellow has to be 2 in 3. There are 16 buttons that are not yellow, so if is the total number of buttons, then Solve for to get the total number of buttons, then subtract 16 from to get the number of yellow buttons. John My calculator said it, I believe it, that settles it

Numbers_Word_Problems/516708: the lengths of the sides of a quadrilateral are consecutive even intergers. Twice the length of the shortest side plus the length of the longest side is 120 inches. Find the length of the four sides. 1 solutions Answer 344462 by solver91311(16897)   on 2011-10-17 20:09:43 (Show Source): You can put this solution on YOUR website! "the lengths of the sides of a quadrilateral are consecutive even intergers[sic}." No they aren't. There is no such thing as an "interger." Now if they are actually consecutive even integers, that is another story. Let represent the first integer, then is the next even integer, and the next is two more than that, and so on. Solve for to get the shortest side, then keep adding 2 to get the other three sides. John My calculator said it, I believe it, that settles it

Probability-and-statistics/516707: how many clubs are in a standerd deck of cards 1 solutions Answer 344461 by solver91311(16897)   on 2011-10-17 20:04:49 (Show Source): You can put this solution on YOUR website! As many as there are Spades and as many as there are Hearts and as many as there are Diamonds. There are a total of 52 cards in the deck. John My calculator said it, I believe it, that settles it