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# Recent problems solved by 'solver91311'

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 Angles/555879: Two angles are supplemetnary and congruent. How many degrees are there in each angle?1 solutions Answer 361975 by solver91311(17077)   on 2012-01-11 18:10:13 (Show Source): You can put this solution on YOUR website! Let the measure of either angle be , then the measure of the other angle must be as well because we are given that the two angles are congruent. Two angles are supplementary if and only if the sum of their degree measures is . So: Solve for John My calculator said it, I believe it, that settles it
 Numbers_Word_Problems/555867: In the back stockroom at the Wheel Shop, the number of seats and horns equaled the number of wheels. The number seats and handelbars equaled the number of horns. Twice the number of wheels is equal to three times number of handlebars. Determine the relationship of horns to seats. Copied exactly.1 solutions Answer 361974 by solver91311(17077)   on 2012-01-11 18:04:08 (Show Source): You can put this solution on YOUR website! Just take it one step at a time. Let represent the number of seats, represent the number of horns, represent the number of wheels, and represent the number of handlebars. Given 1: Given 2: Given 3: Substituting, 2 into 1: Solve 3 for Substitute for Add to both sides: Multiply by 2: Substitute into given #2: John My calculator said it, I believe it, that settles it
 Geometry_Word_Problems/555862: I could not get the answer for this since it is about circumference and areas of a circle. Okay this is the question,C= 14.8 km. Please HELP! 1 solutions Answer 361970 by solver91311(17077)   on 2012-01-11 17:51:25 (Show Source): You can put this solution on YOUR website! The area of a circle is given by , but you are given the circumference, not the radius. The circumference is given by , therefore, . Substituting into the area formula: You can do your own arithmetic. John My calculator said it, I believe it, that settles it
 Triangles/555861: Two sides are 5" and 7" in length, What couldn't be the third side? A. 11 B. 13 C. 6 D. 7 1 solutions Answer 361967 by solver91311(17077)   on 2012-01-11 17:43:13 (Show Source): You can put this solution on YOUR website! In order to have a triangle, the sum of the two shortest sides must be MORE than the measure of the longest side. So which of the given answers is greater than the sum of the two given sides? John My calculator said it, I believe it, that settles it
 Permutations/555825: what is the meaning of14P3 the notation of 1 solutions Answer 361965 by solver91311(17077)   on 2012-01-11 17:41:05 (Show Source): You can put this solution on YOUR website! The number of permutations of 14 things taken 3 at a time. The number of permutations of things taken at a time is . For your problem, you have 14 different things and you want to know how many different ways you can choose three of them given that the order of the selection matters. For example, if you have a club with 14 members, how many ways can you choose a president, vice-president, and treasurer assuming that the three positions must be filled by three different people and a selection that puts Suzie in the president position is different than a selection that puts her in either of the other positions? Simply this: There are 14 possibilities for the first position, then for each of those possibilities there are 13 possibilities for the second position, then for each of those 14 times 13 possibilities there are 12 possibilities for the third position. In this case and so: John My calculator said it, I believe it, that settles it
 Equations/555816: Please help me solve this word problem. the electric current (I), in amperes, in a circuit varies directly as the voltage (V). When 12 volts are applied, the current is 4 amperes. Predict the current when 18 volts are applied. 1 solutions Answer 361963 by solver91311(17077)   on 2012-01-11 17:24:33 (Show Source): You can put this solution on YOUR website! If varies directly as then . Using the initial condition values, calculate by calculating . Then calculate any other value using your knowledge of the value of John My calculator said it, I believe it, that settles it
 Probability-and-statistics/553187: The semi-major axis has length 4 units and foci are at (2,3) and (2,-3)1 solutions Answer 360730 by solver91311(17077)   on 2012-01-05 17:39:57 (Show Source): You can put this solution on YOUR website! Truly fascinating. Were you going to ask a question at some point? John My calculator said it, I believe it, that settles it
 Quadratic-relations-and-conic-sections/553179: Write a equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola. 12. 6x squared + 6y squared = 1621 solutions Answer 360729 by solver91311(17077)   on 2012-01-05 17:38:17 (Show Source): You can put this solution on YOUR website! Divide both sides by 6 Has term AND term: NOT a parabola The term and the term have the same sign: NOT a hyperbola The term and the term have equal coefficients: NOT an ellipse Circle. Center at , radius John My calculator said it, I believe it, that settles it
 Miscellaneous_Word_Problems/553183: If each lap in a pool is 100 meters long, how many laps equal one mile? Round the nearest tenth.1 solutions Answer 360728 by solver91311(17077)   on 2012-01-05 17:31:41 (Show Source): You can put this solution on YOUR website! Multiply the number of kilometers in one mile by 10. Then round. John My calculator said it, I believe it, that settles it
 Surface-area/553181: how do i find the length of the radius if the circumference 10 feet? 1 solutions Answer 360727 by solver91311(17077)   on 2012-01-05 17:30:30 (Show Source): You can put this solution on YOUR website! so John My calculator said it, I believe it, that settles it
 Polygons/553171: in a parallelogram with area of 40, a side is 3 less than the altitude drawn to that side. find the altitude of the parallelogram.1 solutions Answer 360719 by solver91311(17077)   on 2012-01-05 17:16:10 (Show Source): You can put this solution on YOUR website! The area of a parallelogram is the measure of the altitude times the measure of the side to which the altitude is drawn, so: So solve for the positive root. John My calculator said it, I believe it, that settles it
 Expressions-with-variables/553170: 63 is 1 more than twice the number of miles Timothy drove1 solutions Answer 360718 by solver91311(17077)   on 2012-01-05 17:12:11 (Show Source): You can put this solution on YOUR website! Truly fascinating. Was there a question in there somewhere? John My calculator said it, I believe it, that settles it
 Graphs/553159: They want me to draw a rectangle with 22 square units inside it--that's the problem, but it seems like a trick because you cannot do it. it doesn't even out. Pls help!1 solutions Answer 360717 by solver91311(17077)   on 2012-01-05 17:10:44 (Show Source): You can put this solution on YOUR website! What's the matter with a rectangle that is 1 unit wide by 22 units long? Or a 2 by 11 rectangle? Or a 4 by 5.5 rectangle? Or a 0.1 by 220 rectangle. Or a by rectangle. There are an infinite number of different choices. John My calculator said it, I believe it, that settles it
 Human-and-algebraic-language/553160: 1/3 less than a reciprocal of a certain number1 solutions Answer 360715 by solver91311(17077)   on 2012-01-05 17:02:38 (Show Source): You can put this solution on YOUR website! Fascinating. What did you want to do with this startling little morsel of mathematical manifesto? John My calculator said it, I believe it, that settles it
 Radicals/553154: I have two questions it says review the expressions below, In a paragraph, describe how to simplify each expression. 1. 16to the power of 1/2. Now i need you to understand that the 1/2 is above the 16 its little so you get it right. 2. this one im not sure how im suppose to show you it has like a check mark and a line then under the line it has 100 im not sure what that is called im sorry but the check mark is hooked on the line if that helps you at all sort of looks like a old style division problem almost.1 solutions Answer 360713 by solver91311(17077)   on 2012-01-05 16:49:04 (Show Source): You can put this solution on YOUR website! Raising something to the 1/2 power is the same as taking the square root. What number whem multiplied by itself is equal to 16. Hint 3 times 3 is 9 and 5 times 5 is 25. and This means to take the positive square root of the value inside. What number when multiplied by itself is 100? to render these expressions in plain text use ^ to indicate raising to a power and sqrt to indicate square root. I.e. you should have rendered your expressions as 16^(1/2) and sqrt(100). John My calculator said it, I believe it, that settles it
 Polygons/553148: how many sides does a polygon have if the sum of its angle measures is 27001 solutions Answer 360712 by solver91311(17077)   on 2012-01-05 16:46:29 (Show Source): You can put this solution on YOUR website! The sum of the interior angle measures of an -sided polygon is given by: So solve: for John My calculator said it, I believe it, that settles it
 Equations/553130: 6(2^x)-48=0 and please show me how you got your answer.! Thanks1 solutions Answer 360708 by solver91311(17077)   on 2012-01-05 16:42:17 (Show Source): You can put this solution on YOUR website! But and since we can say Or, if you are a real stickler for rigor: John My calculator said it, I believe it, that settles it
 Probability-and-statistics/553121: if you roll two dice 36 times will you get a product of 1 exactly once1 solutions Answer 360693 by solver91311(17077)   on 2012-01-05 16:20:36 (Show Source): You can put this solution on YOUR website! Are you making a statement or asking a question? John My calculator said it, I believe it, that settles it
 Triangles/553120: In triangle ABC,AB=3, BC=4, and AC=6. What is the largest angle? thankyou! 1 solutions Answer 360692 by solver91311(17077)   on 2012-01-05 16:19:07 (Show Source): You can put this solution on YOUR website! In any triangle, the largest angle is opposite the longest side. John My calculator said it, I believe it, that settles it
 Graphs/553110: Solve: Include a sketch to support answer. I isolated x to get and but I don't understand how x is greater than or equal to and less than or equal to . I also don't know how to do the sketch. 1 solutions Answer 360688 by solver91311(17077)   on 2012-01-05 16:13:01 (Show Source): You can put this solution on YOUR website! Multiply both sides by Multiply both sides by . Don't forget to reverse the sense of the inequality because of multiplying by a number less than zero. Add 1 to both sides: Now when you take the root of bothsides, recognize that Which is to say that or Draw a number line. Put a filled in dot at . Make a fat arrow going to the right with an arrowhead indicating it goes on forever. Put a filled in dot at . Make a fat arrow going to the left with an arrowhead indicating it goes on forever. John My calculator said it, I believe it, that settles it
 Equations/553107: Hi can you please help me solve; I added all three number then divide, what do I do after that? Jacqui has gradess of 88 and 77 on her first two algebra tests. If she wants an average of at least 71, what possible scores can she make on her third test? Thank you...1 solutions Answer 360684 by solver91311(17077)   on 2012-01-05 15:52:34 (Show Source): You can put this solution on YOUR website! To find the average of three numbers, you add the numbers and divide by 3. But if you want that average of three numbers to be a particular thing, namely 71 in this case, you multiply by 3 to get the sum of the three numbers. 3 times 71 is 213. Now you have two of her scores, 88 and 77. 88 plus 77 is 165. That means the third test must be at least 213 minus 165 or 48. Presuming that 100 is the maximum score possible, the score, , on the third test must be in the interval: And replace the upper limit number if the maximum possible score is other than 100. John My calculator said it, I believe it, that settles it
 Angles/553099: what is the degree of measure of an angle whose complement is 40% of its supplement? could you please show your work so i know how to do it for future reference.1 solutions Answer 360680 by solver91311(17077)   on 2012-01-05 15:44:59 (Show Source): You can put this solution on YOUR website! Let represent the degree measure of the desired angle. Then is the degree measure of the supplement of the angle and is the degree measure of the complement of the angle. We are given that: Solve for . John My calculator said it, I believe it, that settles it
 Parallelograms/553096: Determine whether the figure with the given vertices is a parallelogram. Use the method of the Distance and Slope Formula. R (-2, 5) O (1, 3) M (-3, -4) Y (-6, -2)1 solutions Answer 360676 by solver91311(17077)   on 2012-01-05 15:30:31 (Show Source): You can put this solution on YOUR website! Use the slope formula: where and are the coordinates of the given points. To calculate the slopes of the lines containing the four segments RO, OM, MY, and YR. If ROMY is a parallelogram, then slope RO = slope MY and slope OM = slope YR. John My calculator said it, I believe it, that settles it
 Numeric_Fractions/553091: How do I get help in passing the placement test on going back to college?1 solutions Answer 360675 by solver91311(17077)   on 2012-01-05 15:25:18 (Show Source): You can put this solution on YOUR website! Hire a tutor would be one way. John My calculator said it, I believe it, that settles it
 Trigonometry-basics/553053: Solve: , 1 solutions Answer 360668 by solver91311(17077)   on 2012-01-05 15:07:02 (Show Source): You can put this solution on YOUR website! Since we can write: Multiply by Use the unit circle, recalling that sin of the angle is the -coordinate of the point of intersection of the terminal ray with the unit circle and find all angles where in your given interval. Note that the given interval is one and a half trips around the circle. Hint: start at and go backwards. John My calculator said it, I believe it, that settles it
 �t�e�s�t/553054: 1.range of the following relation: R: {(3, -5), (1, 2), (-1, -4), (-1, 2)} is 2.Part 1: Create a relation of five ordered pairs that is a function. In complete sentences explain why this relation is a function. Part 2: Create a relation of five ordered pairs that is not a function. In complete sentences explain why this relation is not a function. 3.The domain of the following relation: R: {(6, -2), (1, 2), (-3, -4), (-3, 2)} is? 4.A relation is1 solutions Answer 360644 by solver91311(17077)   on 2012-01-05 13:39:00 (Show Source): You can put this solution on YOUR website! Is there some part of "One question per post" that you don't quite understand, or did you simply not read the instructions for posting -- the ones that are clearly marked "Read before posting"? John My calculator said it, I believe it, that settles it
 Signed-numbers/553046: I am currently tutoring a student at a local middle school. She had this pre-algebra problem from a test that I believe has a syntax error which makes it difficult to solve. However, I have forgotten the rules that would make this a syntax error for me to explain it to her. This is the equation as written: (-2)-(-8)/(6+4x(-4)-(-6))=x I have entered this equation on a spreadsheet program and it will not take the equation as written. It forces the parenthesis in this order: (-2-(-8)/(6+4*(-4)-(-6)))=x Why is the first equation incorrect and what are the steps to solve? Respectfully, Natalie Witte1 solutions Answer 360643 by solver91311(17077)   on 2012-01-05 13:36:50 (Show Source): You can put this solution on YOUR website! Spreadsheet arithmetic and algebraic notation, while related, are really two different things. The first equation is incorrect in that it is ambiguous. Does it mean: or The first way has no real number solutions (the solution is a conjugate pair of complex numbers) whereas the two solutions for the second way are real but irrational -- both of which seem a bit beyond what you would typically see in middle school -- UNLESS the in the denominator expression is supposed to mean "times" as opposed to being the variable , in which case the answer is a single integer. But you still need to clarify the ambiguity, i.e., is the (-2) inside or outside of the fraction? You need to clarify what you really mean. John My calculator said it, I believe it, that settles it
 Linear-equations/552624: I just can't figure this out... please help :) In 1990, the life expectancy of males in a certain country was 64.4 years. In 1995, it was 66.9 years. Let E represent the life expectancy in year t and let t represent the number of years since 1990. The linear function E(t) that fits the data is E(t)=____t+___. (round to the nearest tenth) Use the function to predict the life expectancy of males in 2005. E(15)=____ (round to the nearest tenth) Im at a loss.... Thank you in advance for your help!!!1 solutions Answer 360427 by solver91311(17077)   on 2012-01-04 15:38:47 (Show Source): You can put this solution on YOUR website! You are given data for two ordered pairs, , and are told that this is a linear relationship. for 1990, , and for 1995, . So your two ordered pairs are and Use the two-point form of an equation of a line: where and are the coordinates of the given points. Then put the result into slope intercept form: For the second part of your problem, calculate the value of that represents the year 2005. Hint: Subtract 1990 from 2005. Then substitute that value of into your equation and do the arithmetic. John My calculator said it, I believe it, that settles it
 Miscellaneous_Word_Problems/552618: School prom committee sold 300 tickets to the prom dinner and collected $5256. There were two choices a steak dish that costs$18 and a fish dish that cost \$16. Now write a system of equations1 solutions Answer 360417 by solver91311(17077)   on 2012-01-04 15:16:04 (Show Source): You can put this solution on YOUR website! You have a question that involves two things. You have information about the total number of things, about the value of one unit of each of the things, and about the total value of both things put together. If you let represent the number of one of the things and represent the number of the other thing, and is the total number of both things together, then you can write an equation like this: Then if is the value of one item of , is the value of one item of , and is the total value of all of the things, then you can write a second equation like this: John My calculator said it, I believe it, that settles it
 expressions/552016: If f(x) = x + 4, find f(3). (1 point) 1 7 –1 121 solutions Answer 360026 by solver91311(17077)   on 2012-01-02 21:14:12 (Show Source): You can put this solution on YOUR website! Replace x with 3 and do the arithmetic. John My calculator said it, I believe it, that settles it
 real-numbers/552009: what type of number is closed under subtraction? prime numbers 1 solutions Answer 360023 by solver91311(17077)   on 2012-01-02 21:09:00 (Show Source): You can put this solution on YOUR website! If the primes are closed under subtraction, then the result of any prime subtracted from any prime will have a prime result. Is 7 minus 3 a prime number? John My calculator said it, I believe it, that settles it