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# Recent problems solved by 'solver91311'

solver91311 answered: 17063 problems
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 Equations/373387: If 48 divided by 7= 6 Rn, what is the value of n?1 solutions Answer 265766 by solver91311(17077)   on 2010-11-18 19:10:19 (Show Source): You can put this solution on YOUR website! Hint: 6 times 7 is 42. John My calculator said it, I believe it, that settles it
 Percentage-and-ratio-word-problems/373388: Need help please A family of five people has $200 to spend on fishing rods and fishing license. The spend a total of$20 on licenses. Assuming the buy 5 identical rods, what is the maximun amount they can spend on each rod?1 solutions Answer 265765 by solver91311(17077)   on 2010-11-18 19:08:38 (Show Source): You can put this solution on YOUR website! Subtract the 20 they spent on licenses, then divide the remaining $180 by 5. John My calculator said it, I believe it, that settles it  Numbers_Word_Problems/373247: Using the units 0,1,2,3,4,5,6,7,8,9 place the number in the correct position to make the following true equations. Each number can be used only once. (and for GH G= a unit number and and H= a unit number so for example 15 would be G=1 H=5) my deductions are as follows I Get that has only 3 possibilities as and I Get that B cant = or , A cant = or I Get that E and F cant be or and cant be or I Get that I cant be any and all help is greatly appreciated Ive been working on this puzzle for 32hrs and seeking help from all you other bright minds.1 solutions Answer 265764 by solver91311(17077) on 2010-11-18 19:05:31 (Show Source): You can put this solution on YOUR website! I had to hammer-hand this one -- basically eliminating everything that was impossible and doing trial and error on what was left. First there is one possibility and one exclusion that you missed. C = 4, D = 2 is possible. G can be no larger than 7 because the largest E * F can be is 72. (Although in the final analysis neither of these facts had any bearing on the results) I started by saying "Let A = 0, then B is 2. Then C can't be 2 or 4 (if 4, D = 2), so if C is 6, D is 3. Then I examined all of the possibilities of E*F given the constraints of neither E nor F nor the resulting GH containing 0, 2, 3, or 6 and E or F not equal to 1. For the very few possibilities I got, I listed A through F against a list of the 10 digits to see if the two remaining unused digits were adjacent (so that I and J could differ by 1). Then I tried A=0, B=2, C=8, D=4. Then A=1, B=3, C=4, D=2 (C=2, D=1 repeats 1), and so on. In point of fact, unless you missed including some criteria that wasn't considered, there are 4 answers. A = 7 B = 9 C = 6 D = 3 E = 5 or 8 F = 8 or 5 G = 4 H = 0 I = 2 J = 1 A = 7 B = 9 C = 8 D = 4 E = 5 or 6 F = 6 or 5 G = 3 H = 0 I = 2 J = 1 There is probably a better way to go about this, and I'm going to chew on it for a couple of days. Write back early next week and I'll let you know if I discovered anything new. Thanks for the interesting challenge. John My calculator said it, I believe it, that settles it  Equations/372809: having probvlems figureing out how to solve this problem 12.64+42.35x=5.34x+26.581 solutions Answer 265519 by solver91311(17077) on 2010-11-17 18:29:07 (Show Source): You can put this solution on YOUR website! Do the arithmetic to combine like terms and then divide the RHS by the resulting coefficient on x from the LHS. John My calculator said it, I believe it, that settles it  Expressions-with-variables/372804: For b not equal to 0, what is the solution of the system 2x+by=22 and 4x-by=8?1 solutions Answer 265518 by solver91311(17077) on 2010-11-17 18:25:57 (Show Source): You can put this solution on YOUR website! Add the two equations term by term to get: Then The solution set is John My calculator said it, I believe it, that settles it  Linear-systems/372788: How can I solve x^3 power -1 over (/) x^2 power +1 divided by 9x^2+9x+9 over (/) x^2-x 1 solutions Answer 265513 by solver91311(17077) on 2010-11-17 18:20:02 (Show Source): You can put this solution on YOUR website! You can't "solve" Because there is no equals sign anywhere. You can simplify it somewhat, but that isn't what you asked. John My calculator said it, I believe it, that settles it  Geometry_Word_Problems/372783: The perimeter of a rectangle is 74. The length is 5 more than the width. Find the width.1 solutions Answer 265512 by solver91311(17077) on 2010-11-17 18:04:27 (Show Source): You can put this solution on YOUR website! Let represent the width. Then the length is . The perimeter is , so: Solve for John My calculator said it, I believe it, that settles it  Polynomials-and-rational-expressions/372784: simplify 3x+y=61 solutions Answer 265510 by solver91311(17077) on 2010-11-17 18:01:16 (Show Source): You can put this solution on YOUR website! Already as simple as it gets. You could solve for y to put it into slope-intercept form, but that isn't what you asked for. John My calculator said it, I believe it, that settles it  Polygons/372781: How do you calculate the central angle of a regular ten-sided polygon?1 solutions Answer 265509 by solver91311(17077) on 2010-11-17 18:00:03 (Show Source): You can put this solution on YOUR website! I divide 360 degrees by 10. I think most everyone else does it that way, too. John My calculator said it, I believe it, that settles it  Complex_Numbers/372780: What is the complex conjugate of the (square root of -400) + 17?1 solutions Answer 265507 by solver91311(17077) on 2010-11-17 17:57:50 (Show Source): You can put this solution on YOUR website! If your complex number is Then the conjuate is: Note that the real part is specified first. John My calculator said it, I believe it, that settles it  Geometry_Word_Problems/372777: Pet is tied to the corner of a square shed, 6 m on each side. The rope is 8 m long. The area outside the shed over which the pet can wander is N pi square meters. Find the whole number N.1 solutions Answer 265506 by solver91311(17077) on 2010-11-17 17:54:52 (Show Source): You can put this solution on YOUR website! He can do 3/4 of an 8 m radius circle, plus 2 quarters (1/2) of a 2 m radius circle. Hence: John My calculator said it, I believe it, that settles it  Graphs/372779: how do u find a line that passes through (-3,2) and (-2,-6) 1 solutions Answer 265504 by solver91311(17077) on 2010-11-17 17:48:47 (Show Source): You can put this solution on YOUR website! Use the two-point form of an equation of a line in : where and are the coordinates of the given points. John My calculator said it, I believe it, that settles it  Systems-of-equations/372776: you have 6.80 in a piggy bank...in the bank their are 3 times as many quarters as dimes...how many quarters and dimes are in the bank?...i think it's 24q and 8d...but i need help in setting up the equation..tks1 solutions Answer 265503 by solver91311(17077) on 2010-11-17 17:46:10 (Show Source): You can put this solution on YOUR website! You didn't bother to state that the bank contained ONLY dimes and quarters, however since without such presumption you can't solve the problem, we proceed on that basis. Let represent the number of dimes. Then must represent the number of quarters. The value of the dimes, in cents, is , the value of the quarters, in cents, is , and the entire value of the bank contents, in cents, is 680. Hence: Solve for to get the number dimes. Multiply by 3 to get the number of quarters. John My calculator said it, I believe it, that settles it  Rational-functions/372772: I'm having problems with converting quadratics into vertex form, as well as solving equations by completing their squares. I was absent and my teacher won't help me, so anything would be great. problems like the following Solve by completing the square: 4x^2+40x+280=0 then Convert this quadratic to vertex form y=3x^2-12x+11 solutions Answer 265501 by solver91311(17077) on 2010-11-17 17:39:05 (Show Source): You can put this solution on YOUR website! Apparently you were also absent when they taught reading. Go back and look at the instructions for posting questions on this site. Look especially carefully at the instruction that says "One question per post." John My calculator said it, I believe it, that settles it  decimal-numbers/372768: which is greater half pennies or 0.05 and why1 solutions Answer 265500 by solver91311(17077) on 2010-11-17 17:30:40 (Show Source): You can put this solution on YOUR website! No way to tell. 0.05 of what? Dollars? Dimes? Pennies? Floor tiles? Bananas? John My calculator said it, I believe it, that settles it  Rational-functions/372754: m(x)=6x-9 and k(x)=2-3x/6x Find and simplify: (m-k)(x) I think it starts off this way: (m-k)(x)=m(x)-k(x) = (6x-9)-(2-3x)/(6x) This is as far as I can get...can someone please walk me thru this step by step? I posted this earlier but I set the equation up incorrectly. Thank you.1 solutions Answer 265499 by solver91311(17077) on 2010-11-17 17:25:16 (Show Source): You can put this solution on YOUR website! So far, perfect. The common denominator is , so: And that is all there is. John My calculator said it, I believe it, that settles it  Quadratic-relations-and-conic-sections/372311: Hi, I have to identify the conic of the equation below and find the center, vertices, and asymptotes: I can't find any examples like this so I'm lost here. Any help you can provide is greatly appreciated :)1 solutions Answer 265218 by solver91311(17077) on 2010-11-16 20:29:59 (Show Source): You can put this solution on YOUR website! If you have a plus sign between the LHS terms, and... If , you have a circle center at , radius , but if you have an ellipse, center at , semi-major axis and semi-minor axis (unless and it is the other way around). If you have a minus sign, then you have a hyperbola, centered at If only one of the variables is squared, then you have a parabola. Only hyperbolas have asymptotes. For your example, , , and . So you have an ellipse, centered at the origin, semi-major axis of 3, and semi-minor axis of 2. The vertices are at and , the end points of the semi-minor axis are at and . Calculate . Then the foci are at and . Ellipses do not have asymptotes. John My calculator said it, I believe it, that settles it  logarithm/372299: write 1/3ln x-2/3ln y as a single logarithm?1 solutions Answer 265213 by solver91311(17077) on 2010-11-16 20:14:43 (Show Source): You can put this solution on YOUR website! Use and to write: John My calculator said it, I believe it, that settles it  Quadratic-relations-and-conic-sections/372291: Hi, could you please show me how to complete the square to find the standard form of the following equation? I've only ever done this with one variable so I'm honestly not sure where to start. Thanks for any guidance you can provide! 1 solutions Answer 265205 by solver91311(17077) on 2010-11-16 20:06:51 (Show Source): You can put this solution on YOUR website! You don't have any first degree terms, so completing the square doesn't buy you anything. You have standard form when it looks like: So divide by 36: When you have first degree terms, you complete the square on each of the variables separately giving you some thing like: Which centers your ellipse at rather than the origin as in your example. John My calculator said it, I believe it, that settles it  Money_Word_Problems/372289: 4 children tickets and 5 adult tickets equal$33. How much does each ticket cost? 4c+5a=331 solutions Answer 265200 by solver91311(17077)   on 2010-11-16 20:00:52 (Show Source): You can put this solution on YOUR website! While you can't say that there are an infinite number of elements to the solution set given the restriction that the coordinates of the solution ordered pairs must be in of a dollar increments, there are a great many possibilities. You need more information to solve this problem. Don't write back to me as I probably won't get to this until tomorrow or the next day if you do. Repost the problem with all of the information. John My calculator said it, I believe it, that settles it
 Linear-equations/372284: At what point will the graphs of the lines x=a and y=b intersect ?1 solutions Answer 265195 by solver91311(17077)   on 2010-11-16 19:56:19 (Show Source): You can put this solution on YOUR website! Every point on has an -coordinate of . Every point on has a -coordinate of . There is only one point that has an -coordinate of and a -coordinate of , and that is the point of intersection. John My calculator said it, I believe it, that settles it
 Divisibility_and_Prime_Numbers/372281: What is the prime factorization of 28 1 solutions Answer 265192 by solver91311(17077)   on 2010-11-16 19:52:45 (Show Source): You can put this solution on YOUR website! 28 is even, so divide by 2. Result, 14 and one factor of 2. 14 is even, so divide by 2. Result, 7 and a second factor of 2. 7 is prime. Prime factorization of 28 is 2 X 2 X 7. John My calculator said it, I believe it, that settles it
 Square-cubic-other-roots/372276: x to the power of 2 minus 200x plus 36001 solutions Answer 265190 by solver91311(17077)   on 2010-11-16 19:50:11 (Show Source): You can put this solution on YOUR website! What about it? Fascinating little quadratic trinomial. Was there a question somewhere, or were we just supposed to guess what it is you want? Next time you want to use this site, please read and follow the instructions for posting questions. They are pretty simple instructions and they are right there in front of your nose when you are posting. John My calculator said it, I believe it, that settles it
 Graphs/372268: so, i have question...we are learning about different types of graphs, mean, median, mode, range, interquartile range, upper quartile range, lower quartile range, and out liers. on of the questions is, DATA THAT IS MORE THAN 1, 5 TIMES THE INTERQUARTILE RANGE FROM THE QUARTILE. if you could help me with this vocabulary word it is one of the last ones and i cant find it. I already did 11 out of 14 and i would be so great full if you could help me. thank you so much, Ashley1 solutions Answer 265186 by solver91311(17077)   on 2010-11-16 19:44:30 (Show Source): You can put this solution on YOUR website! You didn't look very hard. I dropped your definition into Google and had the answer in about 3/4 of a second. Outliers are extreme values that are more than 1.5 times the interquartile range beyond the upper and lower quartiles John My calculator said it, I believe it, that settles it
 Average/372253: Find two points on the y-axis that are a distance of 5 units from (4,2).1 solutions Answer 265183 by solver91311(17077)   on 2010-11-16 19:37:26 (Show Source): You can put this solution on YOUR website! We know the two points are of the form and Using the distance formula: Where one of the points is , the other point is , and the distance is 5, we can write: Hence and Making the two points and John My calculator said it, I believe it, that settles it
 Functions/372260: Suppose that the functions g and h are defined for all real numbers x as follows. g(x)=x-4 h(x)=4x+2 Write the expression for (g-h)(x) and (g*h)(x) and evaluate (g+h)(-2) (g-h)(x)= (g*h)(x)= (g+h)(x)= 1 solutions Answer 265180 by solver91311(17077)   on 2010-11-16 19:27:48 (Show Source): You can put this solution on YOUR website! You get to simplify these yourself. Once you simplify the last one, substitute -2 for and do the arithmetic. John My calculator said it, I believe it, that settles it
 Numbers_Word_Problems/372259: Suppose you take 2 1/2h to drive from your house to the lake at 48 mi/h. How long will your return trip take at 40 mi/h?1 solutions Answer 265177 by solver91311(17077)   on 2010-11-16 19:22:59 (Show Source): You can put this solution on YOUR website! Distance equals rate times time, so the distance to the lake is 2 1/2 hours times 48 miles per hour. Then, presuming no one moved your house while you were gone, time equals distance divided by rate, in other words, the results of your first calculation divided by 40 mph. John My calculator said it, I believe it, that settles it
 Coordinate-system/372257: graph the lines containing these points and find their slope 1 solutions Answer 265175 by solver91311(17077)   on 2010-11-16 19:20:05 (Show Source): You can put this solution on YOUR website! Sure thing, Sparky. I'll just get out my crystal ball and divine the coordinates of your points. Are you new or something? John My calculator said it, I believe it, that settles it
 Average/372249: The coordinates are (15,80) for the helicopter and (55,38) for the boat. A Coast Guard Helicopter receives a distress signal from a boat. The units on the map represent miles. To the nearest minute, how long will it take the helicopter to reach the boat if the helicopter travels at an average speed of 75 mph?1 solutions Answer 265174 by solver91311(17077)   on 2010-11-16 19:18:21 (Show Source): You can put this solution on YOUR website! Use the distance formula: where and are the coordinates of the given points. Then time equals distance divided by rate. Divide the results of your distance calculation by 75. Multiply that result by 60 and round to the nearest whole number. John My calculator said it, I believe it, that settles it
 Average/372250: On a map of a city park, the ordered pairs (3,5) and (8,17) mark the starting and ending points of a straight jogging trail. Each unit on the map represents 0.1 mile. What is the length of the trail in miles? How many back-and-forth trips would Marisol need to make one the trail in order to run at least 7 miles?1 solutions Answer 265173 by solver91311(17077)   on 2010-11-16 19:15:10 (Show Source): You can put this solution on YOUR website! Use the distance formula: where and are the coordinates of the given points. Multiply your answer by 0.1 to get the length of the trail in miles. Multiply that result by 2 to get the round trip distance. Divide that result into 7. Round up. And it is the same answer even if her name is something other than Marisol. John My calculator said it, I believe it, that settles it
 Graphs/372233: why is the line x-4 a vertical line1 solutions Answer 265168 by solver91311(17077)   on 2010-11-16 19:09:44 (Show Source): You can put this solution on YOUR website! It isn't. is simply a binomial expression in one variable. Now if you make it equal to something, such as zero, THEN you have an equation whose graph and/or solution set is a straight line, and in this particular case, a vertical line. The reason it is a vertical line is that the set of points that comprise the solution set of the equation all have an ordinate, or -coordinate, of the value 4. All points with an -coordinate of 4 must lie on a vertical line. Go ahead and try to find a point with an -coordinate of 4 that is NOT on the vertical line . John My calculator said it, I believe it, that settles it