Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 633315: Hello I'm a college student in need of help with my elementary algebra problem. And it goes...The length of a rectangle is five times its width. When the length is decreased by 3m and the width is increased by 2m, the area of the new rectangle is 60m^2. Find the original length and width.
I tried using the A=lw formula but it doesn't make any sense to me. I get stuck...I did 60=(5x-3)(x+2) and I came out 12.6 and that didn't match up. I also tried 60=5x(x) = 60=5x^2 = 5(x^2-12=0 and then I get completely stuck.
Click here to see answer by richwmiller(9143)  |
Question 633514: How is it possible to have positive acceleration while slowing down or negative acceleration while speeding up? The hint given is that acceleration is not the same thing as speed. Help would be greatly appreciated. Thanks!
Click here to see answer by solver91311(16897)  |
Question 633638: A point labelled E is drawn on the interior of a square and lines drawn to it from each of the corners. Give an argument that would convince someone else who has studied mathematics that the combined area of the 2 darker shaded triangular regions is half the area of the surrounding square...it may not be { in which case you would have to provide an argument that justifies this conclusion.
(darker shades are covered by the stars*)
blank space is covered with dots
*************************
*.***********************
*....****************...*
*.......************....*
*.............****E.....*
*............******.....*
*..........********.....*
*.......*************...*
*..*******************..*
* ***********************
*************************
Click here to see answer by solver91311(16897)  |
Question 634013: The Robinson family and the Sanders family each used their sprinklers last summer. The water output rate for the Robinson family's sprinkler was 25L per hour. The water output rate for the Sanders family's sprinkler was 20L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1250L. How long was each sprinkler used?
Click here to see answer by mananth(12270)  |
Question 634178: I am doing a review for my nursing students at the college where I teach. I am having trouble showing them the steps to solve a problem like below.
Tim paints a room in 2.5 hours. Bob paints a room the same size in 5 hours. How long would it take them if they painted the room together?
Click here to see answer by jim_thompson5910(28598) |
Question 634178: I am doing a review for my nursing students at the college where I teach. I am having trouble showing them the steps to solve a problem like below.
Tim paints a room in 2.5 hours. Bob paints a room the same size in 5 hours. How long would it take them if they painted the room together?
Click here to see answer by stanbon(57387) |
Question 634199: At hals diner this morning the waiter served 5 glasses of orange juice for every 3 glasses of grapefruit juice. Altogether he served 32 glasses of juice. How many glasses of orange juice did he serve
Click here to see answer by rfer(12670) |
Question 634233: At 11 o'clock this morning, mel's parking lot was full. Mel noticed that the ratio of cars to trucks was 5:2. By 1 o'clock in the afternoon, 10 trucks had left the lot and 10 more cars had parked in the lot. The ratio of cars to trucks was then 6:1. How many vehicles are Parked in mel's parking lot when the lot is full?
Click here to see answer by ankor@dixie-net.com(15660)  |
Question 634402: Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern rocker requires 12 board feet of maple. Write an inequality that limits the possible number of maple rockers of each type that can be made, and graph the inequality in the first quadrant.
A chain furniture store faxes an order for 175 modern rocking chairs and 125 classic rocking chairs. Will Ozark Furniture be able to fill this order with the current lumber on hand? If yes, how much lumber will they have left? If no, how much more lumber would they need to fill the order?
Click here to see answer by richwmiller(9143)  |
Question 634416: Devon, Frank, Fua, Morris, and Pedro belong to the same gym. The gym rules prohibit the staff from giving out personal information about their clients. However, each of the five men said just enough that you can figure out their exact weights.
Devon: Pedro weighs 18 pounds more than I do. None of us weighs over 200 pounds.
Frank: My weight is divisible by 7. Morris weighs 12 pounds more than I do.
Fua: Three people are heavier than I am. Pedro's weight is a prime number.
Morris: I'm heavier than Pedro. Devon is the lightest.
Pedro: Morris's weight is divisible by 10. The five of us together weigh a total of exactly 840 pounds.
This is a problem from the textbook "Crossing the River with Dogs" but I'm having a difficult time answering using a problem solving strategy. Thanks!
Click here to see answer by richwmiller(9143)  |
Question 634691: Parking in a students lot cost $3.00 for the first half hour and $1.75 for each hour thereafter. A partial hour is charge the same as a full hour. What is the longest time that a student can park in this lot for $9?
The longest time is ? (simplify your answer)
Click here to see answer by nyc_function(2733)  |
Question 634773: A length of pipe is cut into five pieces in twenty seconds. At that rate, how long does it take to cut a similar length of pipe into seven pieces.
My answer was 28 seconds, but i am now getting told the answer is 30 seconds. How can this be?
Click here to see answer by richwmiller(9143)  |
Question 634929: You worked 17 hours last week and earned a total of 126 dollars before taxes. Your job as a waiter pays $7.00 per hour, and your job as a lifeguard pays $8.00 per hour. How many hours did you work at each job?
Click here to see answer by ewatrrr(10682)  |
Question 634921: Most railroad cars are owned by individual railroad companies. When a car leaves its home railroad's trackage , it becomes part of a national pool of cars and can be used by other railroads. the rules governing the use of these pooled cars are designed to eventually return the care to the home trackage. A particular railroad found that each month 68% of its boxcars on the home trackage left to join the national pool and 35% of its boxcars in the national pool were returned to the hope trackage. If these percentages remain valid for a long period of time, what percentage of its boxcars can this railroad expect ot have on its home trackage in the long run?
Click here to see answer by ankor@dixie-net.com(15660)  |
Question 635269: Pressure varies inversely as volume. When the pressure is 16 pascals, the volume is 84 liters. What would the volume be if the pressure is reduced to 12 pascals?
The equation I used is P = k/V (P stands for pressure, V for volume.)
Plug in the values and get 16 = k/84, which simplifies to k= 1344.
After that, you take P = k/V again and plug in P and k for this equation:
12 = 1344/V
I know that V is equal to 112 but how do you solve for V? Can you show me the steps?
Click here to see answer by asuar010(324)  |
Question 635275: A person hired a firm to build a CB radio tower. The firm charges $100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is $25 more than the preceding 10 feet. That is, the next 10 feet will cost $125, the next 10 feet will cost $150, etc. How much will it cost to build a 90 foot tower?
I was able to come up with the answer as $300 but don't understand how to put it in its proper formula and steps to how I came up with the answer
Click here to see answer by solver91311(16897)  |
Question 635324: There a three exams in a marking period. A student recevied grades of 75 and 81 on the first two exams. What grade must the student earn on the last exam to get an average of no less than 80 for the marking period
Click here to see answer by KMST(1870)  |
Question 635320: The dimensions of a rectangle are such that the length is 7in. more than the width. If the length were doubled and the width decreased by 3in. then the area would increase by 90in.sq. What are the length and width of the rectangle?
Click here to see answer by KMST(1870)  |
Question 635484: you have a piece of wood that is 84 inches long. you cut the wood into 3 pieces. the 2nd piece is 8 inches longer than the first piece. the 3rd piece is 16 inches longer than the second piece. write an equation and then solve it to determine the lengths of the 3 pieces.
Click here to see answer by lwsshak3(6522) |
Question 635569: In a recent survey of 100 women, the following information was gathered.
38 use shampoo A.
40 use shampoo B.
33 use shampoo C.
4 use shampoos A and B.
11 use shampoos A and C.
13 use shampoos B and C.
3 use all three.
Use the figure to answer the question in the problem.
How many are using shampoo A only (Region I)?
1 . women
Click here to see answer by solver91311(16897)  |
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