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# Recent problems solved by 'solver91311'

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 Radicals/331396: I am having problems with radical expressions. I am instructed to simplify by taking roots of the numerator and the denominator. Assuming all expressions under radicals represent numbers.1 solutions Answer 237526 by solver91311(16877)   on 2010-08-12 19:11:55 (Show Source): You can put this solution on YOUR website! So, share a problem with us. John My calculator said it, I believe it, that settles it
 Rate-of-work-word-problems/331397: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together? 1 solutions Answer 237525 by solver91311(16877)   on 2010-08-12 19:11:06 (Show Source): You can put this solution on YOUR website! If A can do a job in x time periods, then A can do of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do of the job in 1 time period. And if C can do the same job in z time periods, then C can do of the job in 1 time period. So, working together, they can do of the job in 1 time period. Therefore, they can do the whole job in: time periods. For your problem you have to make sure that everyone's contribution is described in the same time units, that is either say Tony does the job in 90 minutes, or Jim in 1/2 hour and Sue in 3/4 hour. One way you get an answer in terms of minutes for the three of them to do the whole job, and the other way in terms of hours to do the whole job -- but DO NOT mix units. John My calculator said it, I believe it, that settles it
 Quadratic_Equations/331402: Now discuss this quadratic equation and determine the number and nature of the solutions, using the logic you stated above:Please show the work and steps please. 3x2 - 2x - 1 = 0 1 solutions Answer 237522 by solver91311(16877)   on 2010-08-12 19:02:59 (Show Source): You can put this solution on YOUR website! For any quadratic polynomial equation of the form: Find the Discriminant, and evaluate the nature of the roots as follows: No calculation quick look: If the signs on and are opposite, then guaranteed. Two real and unequal roots. If is a perfect square, the quadratic factors over . One real root with a multiplicity of two. That is to say that the trinomial is a perfect square and has two identical factors. A conjugate pair of complex roots of the form where is the imaginary number defined by John My calculator said it, I believe it, that settles it
 Expressions-with-variables/331398: Can you show the steps and answer this equation for y: 3x-4y=71 solutions Answer 237520 by solver91311(16877)   on 2010-08-12 19:00:43 (Show Source): You can put this solution on YOUR website! Add to both sides Multiply both sides by John My calculator said it, I believe it, that settles it
 absolute-value/331400: Hi, Im doing my geometry math homework & we are reviewing algebra. I am In 8th grade. My question is :|7|-|9|. would the minus sign in between make the answer negative? 1 solutions Answer 237519 by solver91311(16877)   on 2010-08-12 18:59:15 (Show Source): You can put this solution on YOUR website! What you have is a positive thing minus a larger positive thing. Yes, the answer is negative. John My calculator said it, I believe it, that settles it
 test/331399: Your question goes here. Write clearly! We are not mind readers, so be sure to ask a question that we can understand.1 solutions Answer 237517 by solver91311(16877)   on 2010-08-12 18:57:43 (Show Source): You can put this solution on YOUR website!Junk
 Quadratic_Equations/331379: 2x2+x-2,0 less than or greater than x less than or greater than 21 solutions Answer 237504 by solver91311(16877)   on 2010-08-12 18:09:19 (Show Source): You can put this solution on YOUR website! "less than or greater than" ? Which is it, less than or greater than? John My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/331292: If the product of two factors is 0, which of the following cannot be true. a. Both factors are not zero, b. One factor is zero, c. Both factors are zero. I think it is c. Am I correct? Thank you1 solutions Answer 237503 by solver91311(16877)   on 2010-08-12 18:07:31 (Show Source): You can put this solution on YOUR website! Let's see, which of these situations is NOT possible? Answer a: where and Or Answer b: where Or where or Answer c: John My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/331372: Please help: The base of a triangle is 6 cm greater than the height. The are is 56 cm^2. Find the height and length of the base.1 solutions Answer 237498 by solver91311(16877)   on 2010-08-12 17:59:27 (Show Source): You can put this solution on YOUR website! Let represent the measure of the height. Then the measure of the base is . The area of a triangle is the product of the base times the height divided by 2, so: Solve for to get the height, add 6 to get the base. Note: The resulting quadratic equation will have two roots. Discard the negative root because you are looking for a positive measure of length. John My calculator said it, I believe it, that settles it
 real-numbers/331303: What are the set of numbers less than or equal to - 4 ?1 solutions Answer 237496 by solver91311(16877)   on 2010-08-12 17:54:28 (Show Source): You can put this solution on YOUR website! I don't understand the question. The set of numbers less than or equal to -4 is just that -- the set of numbers less than or equal to -4. I sincerely hope you didn't want someone to enumerate the set for you, given that the set has an infinite number of elements. John My calculator said it, I believe it, that settles it
 Travel_Word_Problems/331366: Flying against the wind, an airplane travels 5580 in 9 hours. Flying with the wind, the same plane travels 4200 in 5 hours. What is the rate of the plane in still air and what is the rate of the wind?1 solutions Answer 237493 by solver91311(16877)   on 2010-08-12 17:43:16 (Show Source): You can put this solution on YOUR website! You don't bother to mention the distance units that the plane travels. Not a real problem except that it makes rendering the units a bit awkward. The rate of the plane relative to the ground when flying against the wind is where is the rate in still air and is the rate of the wind. Flying with the wind, We know that distance equals rate times time, so: and Putting the two equations into standard form: Solve the system of equations for and John My calculator said it, I believe it, that settles it
 Miscellaneous_Word_Problems/331360: Solve using the mulitplication principle. Graph and write set builders notation and interval notation for each answer, -16x<-64 1 solutions Answer 237487 by solver91311(16877)   on 2010-08-12 17:34:26 (Show Source): You can put this solution on YOUR website! Multiply both sides of the inequality by remembering to reverse the sense of the inequality because you multiplied by a negative number. Graph: Construct a number line. Put a small circle on the 4. Draw a heavy line from the little circle toward the right putting a big arrowhead on the end to indicate that the heavy line goes on forever. The red dot needs to be an open circle and the heavy arrow (not shown) must start at the open circle and go to the right. Set builder: Interval: John My calculator said it, I believe it, that settles it
 Miscellaneous_Word_Problems/331358: One number is 10 more than a second number. The sum of the two numbers is 16. What are the two numbers? If you can, can you help with this one by explaining how to do it... it is quite confusing. 1 solutions Answer 237477 by solver91311(16877)   on 2010-08-12 17:02:42 (Show Source): You can put this solution on YOUR website! Let represent the smaller of the two numbers. Then must represent the larger number. Their sum is 16. Solve for to get the smaller number, add 10 to that to get the other one. John My calculator said it, I believe it, that settles it
 Equations/331340: factor the polynomial x^3-4x^2+x-4 Hint: use "i" to enter the factors containing square toors of negative numbers. For example, if your factor is (x+square root of -4) you should write (x+2i)1 solutions Answer 237474 by solver91311(16877)   on 2010-08-12 16:59:44 (Show Source): You can put this solution on YOUR website! Use the Rational Roots Theorem to determine that the possible rational roots of the equation are: Use Synthetic Division to exclude And to show that is a factor of the given polynomial. If you need a refresher on Synthetic Division, see: Purple Math Synthetic Division The quotient from the synthetic division was Which, as we know, factors to: and John My calculator said it, I believe it, that settles it
 Expressions-with-variables/331343: The sum of the quotient of p&14 and the quotient of q&31 solutions Answer 237466 by solver91311(16877)   on 2010-08-12 16:37:48 (Show Source): You can put this solution on YOUR website! I'm not sure what you mean by "the quotient of p&14" for example. Is it or ? Let's assume that you mean The two denominators have no common factors, hence the LCD is simply the product of the denominators: If your meaning is the other way around, just turn things over and follow the same procedure. John My calculator said it, I believe it, that settles it
 Equations/331344: y = 3x2 + 2x – 1 1 solutions Answer 237465 by solver91311(16877)   on 2010-08-12 16:30:48 (Show Source): You can put this solution on YOUR website! What a fascinating little quadratic function you have there. What did you want to do with it? What don't you understand about it? Please tell us what you have tried and where you are stuck. This is Algebra.com, NOT the Psychic Hot Line -- there is no way we can guess what you want. John My calculator said it, I believe it, that settles it
 Equations/331324: solve using addition and multiplication principles 4n - 24(less than or = to)3 (4n + 8) I did not know how to type this < with a line under it so I just wrote it out.1 solutions Answer 237456 by solver91311(16877)   on 2010-08-12 15:55:45 (Show Source): You can put this solution on YOUR website! For future reference >= means and <= means Now, when you multiply both sides by you must reverse the sense of the inequality. John My calculator said it, I believe it, that settles it
 Polynomials-and-rational-expressions/331307: please help me factor the following completely: 6x^2-11x+3 thanks!1 solutions Answer 237450 by solver91311(16877)   on 2010-08-12 15:49:00 (Show Source): You can put this solution on YOUR website!4 problems per day only
 Polynomials-and-rational-expressions/331308: please help me factor the following completely: 6x^2-13x-5 thanks!1 solutions Answer 237449 by solver91311(16877)   on 2010-08-12 15:48:44 (Show Source): You can put this solution on YOUR website!4 problems per day only
 Polynomials-and-rational-expressions/331310: please help me factor the following completely: 4x^2-11x-3 thanks!1 solutions Answer 237448 by solver91311(16877)   on 2010-08-12 15:48:23 (Show Source): You can put this solution on YOUR website!4 problems per day only
 Polynomials-and-rational-expressions/331312: please help me factor the following completely: 7x^2+9x+2 thanks!1 solutions Answer 237447 by solver91311(16877)   on 2010-08-12 15:48:07 (Show Source): You can put this solution on YOUR website!4 problems per day only
 Polynomials-and-rational-expressions/331313: please help me factor the following completely: 7x^2-10x+3 thanks!1 solutions Answer 237446 by solver91311(16877)   on 2010-08-12 15:47:50 (Show Source): You can put this solution on YOUR website!4 problems per day only
 Polynomials-and-rational-expressions/331314: please help me factor the following completely: 2x^2-9x-5 thanks!1 solutions Answer 237445 by solver91311(16877)   on 2010-08-12 15:47:37 (Show Source): You can put this solution on YOUR website!4 problems per day only
 Polynomials-and-rational-expressions/331315: please help me factor the following completely: 2x^2+xy-6y^2 thanks!1 solutions Answer 237444 by solver91311(16877)   on 2010-08-12 15:47:12 (Show Source): You can put this solution on YOUR website!4 problems per day only
 Miscellaneous_Word_Problems/331321: Hello, In the right triangle find the lenght of the side not given. Give an exact answer and an approximation to three decimal places. a=15 b=15 what is the exact value of c ?1 solutions Answer 237443 by solver91311(16877)   on 2010-08-12 15:46:10 (Show Source): You can put this solution on YOUR website! Use Pythagoras: John My calculator said it, I believe it, that settles it
 Circles/331311: Problem: I have a 45 foot length of gating material divided into 30" sections. Approximately how large of a circle (in square feet) could be formed? 1 solutions Answer 237441 by solver91311(16877)   on 2010-08-12 15:41:56 (Show Source): You can put this solution on YOUR website! Your circumference must be 45 feet. Then the radius of your circle must be The area is given by: Substituting: I'll leave you alone to spend some quality time with your calculator. John My calculator said it, I believe it, that settles it
 Miscellaneous_Word_Problems/331316: together, a double cheeseburger and a small order of fries at Big Chuck's contains 690 calories. The fries have half as many calories as the double cheeseburger. Determine the number of calories in each.1 solutions Answer 237438 by solver91311(16877)   on 2010-08-12 15:34:43 (Show Source): You can put this solution on YOUR website! Let represent the number of calories in the fries. Then must represent the number of calories in the burger. Solve for John My calculator said it, I believe it, that settles it
 test/331267: Write an expression to represent the slope of a line that passes through point A(0,1) and through a second point B(x,2x)that lies on the graph of the function f(x)=2x. The evaluate your expression to the nearest thousandth for x=2,x=1,x=0.5,x=0.1. (Scale: 2 spaces=1 unit)1 solutions Answer 237429 by solver91311(16877)   on 2010-08-12 12:59:12 (Show Source): You can put this solution on YOUR website! Use the slope formula: where and are the coordinates of the given points. Your given points are and , hence: Plug in your various values for and do the indicated arithmetic. John My calculator said it, I believe it, that settles it
 Quadratic_Equations/331078: Now discuss this quadratic equation and determine the number and nature of the solutions, using the determine whether the solutions are real or complex? 3x^2 - 2x - 1 = 01 solutions Answer 237366 by solver91311(16877)   on 2010-08-11 23:29:13 (Show Source): You can put this solution on YOUR website! For any quadratic polynomial equation of the form: For your quadratic: , , and Find the Discriminant, and evaluate the nature of the roots as follows: Two real and unequal roots. If is a perfect square, the quadratic factors over . One real root with a multiplicity of two. That is to say that the trinomial is a perfect square and has two identical factors. A conjugate pair of complex roots of the form where is the imaginary number defined by John My calculator said it, I believe it, that settles it
 Signed-numbers/331113: "IS 2/10 GREATER OR LESSER THAN 2/100"1 solutions Answer 237364 by solver91311(16877)   on 2010-08-11 23:23:32 (Show Source): You can put this solution on YOUR website! Take two pizzas. Cut one into 10 equal sized pieces. Cut the other into 100 equal sized pieces. Which is more, two pieces of the first pizza, or two pieces of the second one? John My calculator said it, I believe it, that settles it
 Linear-equations/331101: Write an equation in slope-intercept form for the line passing through points (3,5) and (8,15)1 solutions Answer 237362 by solver91311(16877)   on 2010-08-11 23:20:17 (Show Source): You can put this solution on YOUR website! Use the two-point of an equation of a line: where and are the coordinates of the given points. Once you have inserted the values from your given coordinates, simplify and rearrange the equation into slope-intercept form: John My calculator said it, I believe it, that settles it