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# Recent problems solved by 'josmiceli'

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 Geometry_Word_Problems/421286: I just need a difficult geometry problem.1 solutions Answer 294217 by josmiceli(9671)   on 2011-03-12 14:54:18 (Show Source): You can put this solution on YOUR website!If you make a big square out of 441 smaller squares that are 1" by 1", what does a side of the bigger square measure in feet and inches?
 Rectangles/421285: the length of a rectangle is three times its width. If the area of the rectangle is 75 cm to the second power , find its perimeter. 1 solutions Answer 294215 by josmiceli(9671)   on 2011-03-12 14:42:20 (Show Source): You can put this solution on YOUR website! The formula for perimeter is cm
 Miscellaneous_Word_Problems/421282: George is going to his grandmother's house. Halfway there, he falls asleep. When he awakens, he learns that he still must travel for half the distance he traveled while asleep in order to arrive at his grandmother's house. We'll assume that George was not driving. For what fraction of the total trip was George asleep? 1 solutions Answer 294214 by josmiceli(9671)   on 2011-03-12 14:35:11 (Show Source): You can put this solution on YOUR website!Let = distance traveled while he was asleep After waking is the distance left to travel = 1/2 of the whole trip, so is the distance for the whole trip The fraction of this trip that George was asleep was: Divide top and botom by He was asleep for 1/3 of the whole trip
 Equations/421280: Solve t in the fonnula N = No.e^kt, where No = 2.51.10^-12, N = 7.23.10^6.No , k = 0.555 (1/s) and e is Neper's number (~ 2.71828). I FOUND t=28.457 1 solutions Answer 294210 by josmiceli(9671)   on 2011-03-12 14:24:03 (Show Source): You can put this solution on YOUR website! check answer: checks out pretty close, but I might have slipped up.
 percentage/421277: In the year 1981 there were 13 students per teacher in our universities. In ten years the number of students had increased 37.3% and the number of teachers 20.6%. How many students were there per teacher in the year 1991? ITRIED THIS AND FOUND (13*1.373)/1.206 = 15 student per teacher ?1 solutions Answer 294199 by josmiceli(9671)   on 2011-03-12 13:58:51 (Show Source): You can put this solution on YOUR website!Let = number of students in 1981 Let = number of teachers in 1981 --------- given: In 1991: 15/1 student/teacher ratio right you are!
 Graphs/421276: How many solutions are to this problem? 16(x+2)-8=16x+241 solutions Answer 294195 by josmiceli(9671)   on 2011-03-12 13:45:09 (Show Source): You can put this solution on YOUR website! subtract from both sides This is what is called an identity. There are an infinite number of values you can choose for and the equation will still be true. It is true for and also for , for example
 logarithm/421261: Please help me! Ok, I don't know how to do this using mathematical notation, so I'm going to try to describe my problem in English. Use natural logarithms to solve the equation. e -0.413t=5 (The -0.413t is up higher than e) The solution set is (Simplify your answer. Type an integer or a decimal rounded to the nearest thousandth.)1 solutions Answer 294193 by josmiceli(9671)   on 2011-03-12 13:39:58 (Show Source): You can put this solution on YOUR website!The problem is It would be good if this equation was in the form Then must equal To accomplish this, I'll say Now I can use my calculator so, answer check answer:
 Equations/421259: the perimeter of a rectangle is 104.The length exceeds the width by 32 inches. Find the length and the width.1 solutions Answer 294191 by josmiceli(9671)   on 2011-03-12 13:19:16 (Show Source): You can put this solution on YOUR website!The formula for perimeter is: given: ----------- By substitution: and The width is 10 and the length is 42 check answer: OK
 Functions/421253: Find the slope and y-intercept of the line. Write fractional answer in lowest terms. 7y + 9x + 5 = 18 + 9x slope is ? y-intercept is (0,?)1 solutions Answer 294189 by josmiceli(9671)   on 2011-03-12 12:51:27 (Show Source): You can put this solution on YOUR website!The y-intercept occurs where Subtract from both sides The y-intercept is at (0,13/7)
 Travel_Word_Problems/421237: Mike drove from New City to Old Village at an average speed of 60 m/h to visit his parents. On the way back he needed to speed up to catch a baseball game with a friend, so he drove at 75 m/h. His trip involved a total of 5 hours of driving time. What is the distance between New City and Old Village. (Any help would be much appreciated, i am doing questions for a practice exam.)1 solutions Answer 294188 by josmiceli(9671)   on 2011-03-12 12:47:24 (Show Source): You can put this solution on YOUR website!You need 2 equations, one for NYC to OV, and one for OV to NYC Let = distance from NYC to OV Let = time to go NYC to OV ------------------ NYC to OV OV to NYC -------------- This is 2 equations and 2 unknowns, so it's solvable By substitution: and mi The distance is 166.67 miles check answer: close enough
 Geometry_Word_Problems/421094: At the opening of the movie, "The Big Bus" the theatre was filled to a 80% capacity. There were 720 people in the theatre at the opening of the movie. What was the theatre's capacity?1 solutions Answer 294086 by josmiceli(9671)   on 2011-03-11 20:49:00 (Show Source): You can put this solution on YOUR website!Let the capacity = the theatre's capacity was 900 people
 Geometry_Word_Problems/421092: The ratio of men to women in a class is 2:7. Of the 36 students in the class, how many were women?1 solutions Answer 294085 by josmiceli(9671)   on 2011-03-11 20:46:21 (Show Source): You can put this solution on YOUR website!Let = number of men Let = number of women given: ------------- There are 28 women in the class check answer: OK
 Money_Word_Problems/421087: helen weller invested \$ 11,000 in an account that pays 12% simple interest. How much additional money must be invested in an account that pays 15% simple interest so that the total interest is equal to the interest on the two investments at the rate of 13%.1 solutions Answer 294082 by josmiceli(9671)   on 2011-03-11 20:30:16 (Show Source): You can put this solution on YOUR website! \$5,500 must be invested in an account that pays 15%
 Miscellaneous_Word_Problems/421073: In a basketball league, the Falcons won 15 of their first 20 games. In order to win 60% of the total of games, how many more games will they have to play, assuming they only win half of the remaining games?1 solutions Answer 294063 by josmiceli(9671)   on 2011-03-11 19:39:18 (Show Source): You can put this solution on YOUR website!Let = number of more games they will have to play given: = number of games they win out of more games -------- They have to play 30 more games check: OK
 Mixture_Word_Problems/421064: how many gallons of water need to be added to convert 2 gallons of 30% acid solution into a 20% acid solution?1 solutions Answer 294061 by josmiceli(9671)   on 2011-03-11 19:28:51 (Show Source): You can put this solution on YOUR website!Let = gallons of water needed given: acid in 2 gallons of 30% solution is 1 gallon of water must be added check: OK
 Linear-equations/421069: What is the midpoint of the connecting the x-intercept of the line 3x + 4y = 12 and the point (6, 4)?1 solutions Answer 294060 by josmiceli(9671)   on 2011-03-11 19:18:07 (Show Source): You can put this solution on YOUR website! The x-intercept is at Must find the midpoint of (4,0) and (6,4) ---------- and The midpoint is at (5,2)
 Polynomials-and-rational-expressions/421067: factor 81a^6 - 3g^61 solutions Answer 294058 by josmiceli(9671)   on 2011-03-11 19:08:12 (Show Source): You can put this solution on YOUR website!I'll try to get it into the form
 Polynomials-and-rational-expressions/421036: 49x^2 -25=0 Find all the roots and check your answer1 solutions Answer 294047 by josmiceli(9671)   on 2011-03-11 17:20:15 (Show Source): You can put this solution on YOUR website! Take the square root of both sides and, taking the negative square root of The roots are 5/7 and -5/7 check answer: and OK
 test/421041: Enrollment at a particular online university is 11,600. There are seven times as many students who work full time as there are students who do not. How many students work full time and how many do not? Please show all work. Thank you1 solutions Answer 294044 by josmiceli(9671)   on 2011-03-11 17:10:37 (Show Source): You can put this solution on YOUR website!Let = number of students who do not work full time = number of students who work full time There are 1450 students who do not work full time There are 10150 students who work full time
 Trigonometry-basics/421006: True or False: sin(-85)=-sin(85) I need to show my work, how do I do so?1 solutions Answer 294036 by josmiceli(9671)   on 2011-03-11 16:14:21 (Show Source): You can put this solution on YOUR website!Just draw a picture of the 4 quadrants. 85 degrees is in the 1st quadrant. -85 degrees is in the 4th quadrant. Show that opposite/hypotenuse is (+) for 85 anf (-) for -85
 Human-and-algebraic-language/421014: Quick Call charges 18cents per minute for long-distance calls. Econo Phone totals your phone usage each month and rounds the number of minutes up to the nearest 15 minutes. It then charges \$7.90 per hour of phone usage, dividing this charge into 15 minute segments if you used less than a full hour. If your office makes 5 hours 3 minutes worth of calls this month using the company with lower price, how much will these call cost? 1 solutions Answer 294032 by josmiceli(9671)   on 2011-03-11 16:05:58 (Show Source): You can put this solution on YOUR website!5 hrs 3 min = min With quick call: With Econo Phone: This is min to nearest 15 min Econo Phone is cheapest @ \$39.50
 Human-and-algebraic-language/421016: 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?1 solutions Answer 294030 by josmiceli(9671)   on 2011-03-11 15:56:01 (Show Source): You can put this solution on YOUR website! answer
 Polynomials-and-rational-expressions/420957: Please help me with the following questions. 5 over (x-8) + 1 over (x+2) (x+4) Can you please tell me guide me through it. Also, 8 over (x-10)(x-6) minus 60ver (x-8)(x-10) If you can make suggestions of what I should concentrate on first please let me know. I feel that I go to a few websites to see the steps of how to do it but somehow I am spending a lot of time all over the place. I hope that now I can learn from this site and just stay with it, and not jump all over. Thank you for your help and enjoy you weekend. YB1 solutions Answer 294016 by josmiceli(9671)   on 2011-03-11 13:32:03 (Show Source): You can put this solution on YOUR website!It's not clear what the question is. It could be to simplify the expressions, but I don't know this. Part of algebra is knowing exactly what you have and exactly what you are trying to do with it. If you're not sure, take a stab at it.
 Geometric_formulas/420959: f=9/5c+32 answers given are: A.-10 b.-12 c. -14 d. -16 e. -18 the answer was given as A. -10 but i do not understand how to work the answer out. I am studying for the ACT and this is a practice question given. Thanks for any help given. 1 solutions Answer 294013 by josmiceli(9671)   on 2011-03-11 13:26:33 (Show Source): You can put this solution on YOUR website!The question doesn't make sense. You show an equation with 2 variables. You would need another equations to solve this. If it's not a solution you want, what is it?
 test/420949: Write an expression for the sum of the reciprocals of two consecutive integers. Let x be the first integer. Then Simplify that expression. 1 solutions Answer 294008 by josmiceli(9671)   on 2011-03-11 12:46:27 (Show Source): You can put this solution on YOUR website! Multiply the 1st term by and the 2nd term by
 Probability-and-statistics/420944: One out of eleven people are left-handed. Determine the probability that a class containing 35 students does not have any left-handed students in it. p= 11/35?? but that seems to easy, what am i missing??????1 solutions Answer 294006 by josmiceli(9671)   on 2011-03-11 12:40:04 (Show Source): You can put this solution on YOUR website!Definitely get a 2nd opinion, but my reasoning is thus: Each of the 35 students has a probability of not being left handed. I want all of them to be not left handed, so I multiply this P 35 times. This is P = 35.58/1000
 Radicals/420911: I need to find the weekly salary and commission RATE of this problem. Total compensation one week (salary+commission) on sales of \$4000 is \$660. The next week his total compensation on sales of \$6000 was \$740. I know that you take the total sales and multiply it by the total commission rate variable (i used "y" for commission and "x" for weekly salary) but I can't figure out how to write the equation correctly. 1 solutions Answer 294005 by josmiceli(9671)   on 2011-03-11 12:32:13 (Show Source): You can put this solution on YOUR website!Let = weekly salary Let = commission rate given: 1st week: (1) 2nd week: (2) ----------------- This is 2 equations with 2 unknowns, so it's solvable (1) (1) and (2) Now add these equations The commission rate is 4% and (1) (1) (1) The weekly salary is \$500
 Graphs/420917: x-intercept=4; parallel to the line -2x+3y=31 solutions Answer 293991 by josmiceli(9671)   on 2011-03-11 11:26:05 (Show Source): You can put this solution on YOUR website!Given line: This is in the form where = slope The line parallel to this line must also have slope = 2/3 The x-intercept is where I can say now goes through the point (4,0) The equation is: Here's a plot of both lines:
 Travel_Word_Problems/420918: trains A & B are traveling in the same direction on parellel tracks. train a is traveling at 40 miles per hour and train b is traveling at 60 miles per hour. Trai na passes the station at 3:10am. If train b passes the same station at 3:22am, at what time will train b catch up to train a.1 solutions Answer 293989 by josmiceli(9671)   on 2011-03-11 11:16:04 (Show Source): You can put this solution on YOUR website!Start a stopwatch when train B leaves station at 3:22 How much of a head start does train A have? Train A left 12 minutes earlier at 3:10, and at 40 mi/hr mi is A's head start Both trains will now run for the same amount of time, but A has less distance to travel. Let = distance from station to where they meet ------------------ Train A: (1) Train B: (2) ------------- (1) (2) hrs min min This is 24 minutes after the stopwatch started at 3:22, so B catches A at 3:46 AM
 Travel_Word_Problems/420495: A player hits a baseball at a 45 degree angle with the ground with an initial velocity of 80 feet per second from a height of three feet above the ground. The equation h=-0.005x^2+x+3 gives the path of the ball, where h is the height and x is the horizontal distance the ball travels. What is the equation of the axis of symmetry? (my answer was x=-b/2a=-1/-0.01=100)(Is that right?) What is the maximum height reached by the baseball? (my answer was 53 feet) An outfielder catches the ball three feet above the ground. How far has the ball traveled horizontally when the outfielder catches it? (I'm confused on how to do this problem. I thought you would just put 3 in for the h, but I don't know where to go from there.) I'd really appreciate if you could help me with this problem! Thank you!1 solutions Answer 293826 by josmiceli(9671)   on 2011-03-10 16:16:55 (Show Source): You can put this solution on YOUR website!The equation is a parabola with 2 places where ft. The 1st place is (0,3), when the batter hits the ball. The ball has to eventually come back to that same height Subtract from both sides So, when and when Add to both sides The ball has traveled 200' horizontally Here's a plot:
 test/420463: Ms. Jam told Ally that each question on a test was either 3 or 6 points with a total of 300 points. How many 3 point and 6 points questions are on the test? 1 solutions Answer 293797 by josmiceli(9671)   on 2011-03-10 14:29:36 (Show Source): You can put this solution on YOUR website!Let = number of 3 point questions Let = number of 6 point questions given: There are 2 unknowns and only 1 equation, so I have to guess. I'll guess and That works, so I'll check it: OK There are 50 3 point questions and 25 6 point questions