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# Recent problems solved by 'solver91311'

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 Proportions/662869: When you get to the animal park,you go into the gift shop. They have different sized posters of animals in the park. All the posters in the shop are proportional. The smallest poster is 12 inches wide & 15 inches tall. The largest poster is 32 inches wide. How tall is the largest poster?1 solutions Answer 412525 by solver91311(16897)   on 2012-10-07 16:20:44 (Show Source): You can put this solution on YOUR website! Cross-multiply and solve for John My calculator said it, I believe it, that settles it
 Probability-and-statistics/662870: Can you show me how to determine the area with the following information...p(x>108)1 solutions Answer 412523 by solver91311(16897)   on 2012-10-07 16:17:27 (Show Source): You can put this solution on YOUR website! Nope. You don't define the function p, you don't define the meaning of your independent variable, you don't show any relationship between the length and width, and you don't even guarantee that you are dealing with a rectangle or even a quadrilateral. I can't imagine how you would have given less information without leaving the dialog box completely blank. Tell the whole story and maybe we can help you. John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/662535: A car travels 134 miles in 3 hours. Find the average speed of the car in miles per hour. Round to the nearest tenth.1 solutions Answer 412333 by solver91311(16897)   on 2012-10-06 16:15:09 (Show Source): You can put this solution on YOUR website! Divide 134 by 3 and round appropriately. John My calculator said it, I believe it, that settles it
 absolute-value/662523: My math teacher gave us homework for the weekend and I understand the majority of it, but there are a few problems that I just don't understand. I was wondering if I left the problem, someone could show how to solve it. Math problem: |m| ---=3 51 solutions Answer 412330 by solver91311(16897)   on 2012-10-06 15:54:30 (Show Source): You can put this solution on YOUR website! Multiply both sides by 5 Apply the definition of absolute value: So or Which is to say the solution set is John My calculator said it, I believe it, that settles it
 Linear-equations/662513: -x+3y=4 x-3y=3 what is the elimination method to solve these two problems1 solutions Answer 412323 by solver91311(16897)   on 2012-10-06 15:20:30 (Show Source): You can put this solution on YOUR website! It is not two problems. It is two equations each of which is in two variables that together form one 2X2 system of linear equations. Elimination Method. 1. Multiply one or both equations by a constant or constants such that the coefficient on one of the variables is the additive inverse of the coefficient on the same variable in the other equation. (For this system, you can skip this step since the coefficients on are already 1 and -1 and the coefficients on are already 3 and -3) 2. Add the two equations term by term. One (at least) of the variables will be eliminated leaving you either with a single equation in a single variable, a triviality (such as 0 = 0), or an absurdity (such as 0 = 4). 3. If a single equation in a single variable remains, solve it. Use the value you discover for that variable to substitute back into either of the original equations. That gives you a new single equation in the eliminated variable which you must now solve. The two values for the two variables form an ordered pair that is the solution set of the 2X2 system. Graphically, this is represented by two distinct lines that intersect in a single point. 4. If you end up with a triviality, then the solution set of the system is the solution set of either (and therefore both) of the two equations. Graphically, this is represented by each of the equations graphing to the same line. 5. If you end up with an absurdity, then the solution set of the system is the empty set. Graphically, this is represented by two parallel lines. John My calculator said it, I believe it, that settles it
 Money_Word_Problems/662502: You find 8 coins in an old desk drawer, consisting entirely of nickels, dimes, and quarters, with a face value of 80 cents. However, the coins all date from 1889 and are worth much more than their face value. You were able to sell all the coins to a coin shop for a total of $22. Suppose you received$3 for each nickel, $2 for each dime, and$5 for each quarter. How many of the coins were quarters?1 solutions Answer 412313 by solver91311(16897)   on 2012-10-06 14:41:00 (Show Source): You can put this solution on YOUR website! Let represent the number of nickels, represent the number of dimes, and represent the number of quarters. because the total number of coins is 8 because the total FACE value of the coins is 80 cents, each nickel is worth 5 cents, each dime is worth 10 cents, and each quarter is worth 25 cents. because the total SALE value of the coins is 22 dollars, each nickel is worth 3 dollars, each dime is worth 2 dollars, and each quarter is worth 5 dollars. Solve the 3X3 system. Report the value of John My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/662478: Iam trying to find all the zeros for x5+6x4-x3-6x2-20x-120 found -6 1 solutions Answer 412286 by solver91311(16897)   on 2012-10-06 12:48:39 (Show Source): You can put this solution on YOUR website! Having found -6 is a good start, and if you continued looking for rational roots from there, you were doomed to failure; there aren't any. The other four zeros consist of a pair of irrationals and a conjugate pair of complex numbers. The thing is, after having found the factor , you were staring at a 4th degree polynomial that we now know has no rational factors. Woe is me! What to do now? Fortunately, this particular 4th degree polynomial is so configured that you can actually treat it like a quadratic. Read on. First let's do the synthetic division with -6:  -6 | 1 6 -1 -6 -20 -120 -6 0 6 0 120 1 0 -1 0 20 0  From this we can determine that and are factors of , and that -6 is indeed a real rational zero of the 5th degree polynomial. But what do we do with the 4th degree factor? We use a substitution trick. Let and substitute into : Et voilą! We have a quadratic that factors tidily: So the zeros are and But wait! We aren't done. The problem doesn't want values of that make the original polynomial equal to zero, it wants values of . So reverse the substitution, thus: hence OR hence And we are done. We started with a 5th degree polynomial and found 5 zeros satisfying the Fundamental Theorem of Algebra. Time to sit around in a circle, hold hands, and sing "Kumbaya." John My calculator said it, I believe it, that settles it
 Matrices-and-determiminant/662336: using the numbers 0-15 fill in the matrix so that all rows,columns and both diagonals sum to the same number1 solutions Answer 412111 by solver91311(16897)   on 2012-10-05 18:34:20 (Show Source): You can put this solution on YOUR website! Starting with 0 in the upper left corner, enter the numbers in order, left to right, going back to the left of the next row each time you have entered the last number in a row. Swap the 15 and the 0. Swap the 5 and the 10. Swap the 6 and the 9. Swap the 3 and the 12. Done.  0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 1 2 12 4 10 9 7 8 6 5 11 3 13 14 0  Magic constant is 30. Note that the 4 corners add up to 30 as well as each group of 4 in the four corners and the group of 4 in the center. John My calculator said it, I believe it, that settles it
 Trigonometry-basics/662323: Suppose cos (beta) = 1/2. 0 < or = (beta) < or = 2(pie). Find all values of beta that solve this equation.1 solutions Answer 412109 by solver91311(16897)   on 2012-10-05 18:32:02 (Show Source): You can put this solution on YOUR website! My first question is "What sort of pie?" Pie is dessert, pi is the Roman alphabet representation of the 16th character of the lower case Greek alphabet representing the ratio of the circumference of a circle to its diameter, namely Use the unit circle. Remember that the value of cosine is the coordinate of the point of intersection of the terminal ray and the unit circle. Look for both points that have an coordinate equal to . John My calculator said it, I believe it, that settles it
 Linear_Equations_And_Systems_Word_Problems/662329: A group of 42 people wants to go the amusement park. The admission price for adults is $16. The admission price for children is$12. The group spent \$568 to get into the park. How many adults and how many children were in the group?1 solutions Answer 412104 by solver91311(16897)   on 2012-10-05 17:55:16 (Show Source): You can put this solution on YOUR website! Solve the 2X2 system for (the number of adults) and (the number of children) John My calculator said it, I believe it, that settles it
 Equations/662327: When solving a system of equations using the substitution menthod, you obtain the following result: 8 = 9. This result gives you some information about the solution. a) How many solutions does the system have? b) What would the graph of the system look like?1 solutions Answer 412103 by solver91311(16897)   on 2012-10-05 17:50:56 (Show Source): You can put this solution on YOUR website! 0 solutions. 2 parallel lines. John My calculator said it, I believe it, that settles it
 expressions/662318: Evaluate the expression for r=8, s=2, and t=5. Enter the answer only. r ÷ s1 solutions Answer 412099 by solver91311(16897)   on 2012-10-05 17:14:20 (Show Source): You can put this solution on YOUR website! Just substitute the numbers given and do the arithmetic. John My calculator said it, I believe it, that settles it
 expressions/662317: Evaluate the expression for r = 8, s = 2, and t = 5. st1 solutions Answer 412098 by solver91311(16897)   on 2012-10-05 17:13:40 (Show Source): You can put this solution on YOUR website! Just substitute the numbers given and do the arithmetic. John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/662321: At top speed, how far can an ostrich run in 15 seconds? Top speed is 40MPH.1 solutions Answer 412097 by solver91311(16897)   on 2012-10-05 17:12:48 (Show Source): You can put this solution on YOUR website! There are 5280 feet in a mile and there are 3600 seconds in one hour, so there are 5280 feet divided by 3600 seconds feet per second in one mile per hour. Calcualte the number of feet per second in one mile per hour. Multiply by 40 to convert 40 miles per hour to feet per second. Multiply that by 15. John My calculator said it, I believe it, that settles it
 real-numbers/661804: write 2+sqrt 2/sqrt 2 in the form of a+b sqrt 21 solutions Answer 411806 by solver91311(16897)   on 2012-10-04 16:30:42 (Show Source): You can put this solution on YOUR website! Multiply your fraction by John My calculator said it, I believe it, that settles it
 Functions/661801: domain of g(x)=13/x-4 1 solutions Answer 411800 by solver91311(16897)   on 2012-10-04 16:14:28 (Show Source): You can put this solution on YOUR website! The domain of a rational function is the set of real numbers excluding any value of the independent variable that would cause the denominator to equal zero. Set the denominator equal to zero and solve to find the number or numbers to exclude from the domain. John My calculator said it, I believe it, that settles it
 logarithm/661786: use log 10^2=0.3010 and log 10^5=0.6990 to determine the logartithms of log 10^81 solutions Answer 411797 by solver91311(16897)   on 2012-10-04 16:12:32 (Show Source): You can put this solution on YOUR website! makes no sense. by itself (to me, not necessarily to anyone else) implies base 10, and because , and , . But , so that is what you must mean. Remember, the caret mark means that you are raising to a power. Please refer to Formatting Math As Text Note that , hence Just plug in the given number and do the arithmetic. John My calculator said it, I believe it, that settles it
 Equations/661785: What is the value of the x if the perimeter is. 451 solutions Answer 411791 by solver91311(16897)   on 2012-10-04 15:34:40 (Show Source): You can put this solution on YOUR website! No way to tell from the paucity of information provided. Follow instructions by making sure that the entire problem is stated. John My calculator said it, I believe it, that settles it
 Subset/661781: Which subset of real numbers contaain the number square root of 11?1 solutions Answer 411790 by solver91311(16897)   on 2012-10-04 15:33:30 (Show Source): You can put this solution on YOUR website! The Algebraic Irrationals. John My calculator said it, I believe it, that settles it
 Unit_Conversion_Word_Problems/661231: In prentice hall geometry, what is question #4 in the get ready section in chapter 2 in geometry? 1 solutions Answer 411560 by solver91311(16897)   on 2012-10-03 15:57:13 (Show Source): You can put this solution on YOUR website! Sure, I'll just go to my shelf of all possible math books, take down all the editions of Prentice-Hall Geometry, look up your problem, and solve it for you. I'll get on that right away. NOT! Kindly use your head for something besides a hat rack. John My calculator said it, I believe it, that settles it
 Points-lines-and-rays/661174: I have a math problem on my homework, and its a bunch of angles. they give you an equation for two of them that are alternate exterior to eachother, and a varible where it is vertical to the top exterior angle. I dont know how to set up the equation to solve it1 solutions Answer 411559 by solver91311(16897)   on 2012-10-03 15:52:46 (Show Source): You can put this solution on YOUR website! Alternate exterior angles are equal in measure and vertical angles are equal in measure. So if you have a pair of alternate exterior angles or a pair of vertical angles whose measures are denoted by algebraic expressions, just set the two expressions equal to each other and solve the equation. Once you have a value for the variable, substitute back into the expressions -- two reasons: you get the measures of the angles that way, and you double check to see that you did your algebra correctly when you solved the equation. John My calculator said it, I believe it, that settles it
 Geometry_Word_Problems/661175: how many feet are in a square on a blueprint 1 solutions Answer 411553 by solver91311(16897)   on 2012-10-03 15:00:44 (Show Source): You can put this solution on YOUR website! What is the scale on the blueprint? What is the actual physical size of the square on the blueprint? John My calculator said it, I believe it, that settles it
 Linear-equations/661173: find an equation of the line that passes though the given points (2,-2) and (-1,-3)1 solutions Answer 411547 by solver91311(16897)   on 2012-10-03 14:34:19 (Show Source): You can put this solution on YOUR website! Use the two-point form: where and are the coordinates of the given points. John My calculator said it, I believe it, that settles it
 Triangles/661169: i have a right triangle with a 90 degree angle and a hypotenuse of 18 i need to find the two short side lengths pleassse (:1 solutions Answer 411544 by solver91311(16897)   on 2012-10-03 14:25:00 (Show Source): You can put this solution on YOUR website! "I have a right triangle with a 90 angle..." What other kind of right triangle is there? You have to provide some additional information. There are an infinite number of pairs of measures that satisfy Another thing: Why "pleassse"? Is that more emphatic than "pleasse" or simply please? Why didn't you write "pleasssse" or "pleassssse"? Would that have been too 'over the top'? John My calculator said it, I believe it, that settles it
 Triangles/661168: if one leg of a 30 60 90 triangle is 14 feet, what are the other two side lengths? 1 solutions Answer 411542 by solver91311(16897)   on 2012-10-03 14:22:55 (Show Source): You can put this solution on YOUR website! Depends. Is 14 feet the short leg or the long leg? John My calculator said it, I believe it, that settles it
 Functions/661150: find the average rate of change of the function f(x)=sqrt(1-2x^2) between x=-a and x=-a+h.1 solutions Answer 411541 by solver91311(16897)   on 2012-10-03 14:21:33 (Show Source): You can put this solution on YOUR website! The average rate of change of a function between two points is given by the formula for the slope of the secant line through the two points. where and are the coordinates of the given points. Where the two abscissas differ only by a constant, in your problem, the denominator simplifies to just that constant. All you need to do is to evaluate the function at and , simplify the numerator, divide out the because every term in the simplified numerator (given correct algebra) will contain at least one factor of . In the case of your problem, simplifying the numerator is somewhat more than a trivial exercise because you will have the difference of two expressions containing radicals and you will not be able to reduce the two radicands to be equal expressions. The trick is to rationalize the numerator. The process is the same as rationalizing a denominator, except that you will choose the conjugate of the numerator so that when you multiply you get the difference of two squares effectively eliminating the numerator radicals. You will still have radical expressions in the denominator, but you will be able to eliminate the factor of in the denominator because you have taken all of the factors of out of the radicals in the numerator. John My calculator said it, I believe it, that settles it
 Linear-equations/661136: I need to solve (4.9)t^2=D and question if a perosn fell from 155 meters up how many seconds does it take to hit the ground? and I need the x and y numbers to make a graph can you help me, I have got different answers from every site I was on Thank You1 solutions Answer 411532 by solver91311(16897)   on 2012-10-03 13:21:07 (Show Source): You can put this solution on YOUR website! Substitute 155 for D and then solve for t. That is to say, divide by 4.9 and then take the positive square root. John My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/661142: what is the LCM for y^4+8y^3+15y^2 and y^2-37-40? And how would i work it out?1 solutions Answer 411531 by solver91311(16897)   on 2012-10-03 13:11:32 (Show Source): You can put this solution on YOUR website! Since and (which is really just ) have no factors in common, this is trivially the product of the two trinomials. I don't believe that is actually the answer to your problem since I highly suspect that you have a typo in your second expression and I'm reasonably certain that I know the exact nature of that typo. In the interests of making sure you understand how important it is to proofread your posts BEFORE you press the 'Send' button, I'm going to make you re-post your question. John My calculator said it, I believe it, that settles it
 Probability-and-statistics/659988: When drawing a card from a deck, the P(king and hearts) is: A.1/4 B.1/13 C.1/52 D.1/121 solutions Answer 411017 by solver91311(16897)   on 2012-10-01 16:55:23 (Show Source): You can put this solution on YOUR website! The number of kings of hearts in a single deck divided by the number of cards in a single deck. John My calculator said it, I believe it, that settles it