Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 31766: I would appreciate any help.
At an IMAX theater, the giant rectangular movie screen has a width 26 feet less than its length. If its perimeter is 332 feet, find the area of the screen.
Click here to see answer by checkley71(8403)

Question 31780: Please help with this rate problem!!! I'm stumped
Two chemical plants are releasing toxic waste into the atmosphere. Plant I releases a certain amount twice as fast as Plant II. Together they release that amount in 3 hr. How long does it take the slower plant to release that same amount?
Click here to see answer by stanbon(57220)

Question 31760: Torrey painted some signs yellow and the rest red. The number of yellow signs was 5 less than 3 times the number of red signs. Furthermore, 6 times the number of red signs was 70 less than 10 times the number of yellow signs. How many signs were yellow and how many were red?
Click here to see answer by Paul(988)

Question 31790: A chemist dilutes a 32% saline (salt) solution with water (0% saline) in order to produce 150 liters of 20% saline solution. How much water and how much 32% solution does she need to use?
Thank you for taking the time to answer my question.
Click here to see answer by Paul(988)

Question 31768: Rational expressions--Dan & Julio can mow a lawn in 12 minutes. Julio can mow the lawn by himself in 10 minutes less time than it takes Dan by himself. How long does it take each of them to mow the lawn alone?
Click here to see answer by Paul(988)

Question 31828: There were 34 nickels, dimes, and quarters whose total value came to $3.80. How many coins of each kind were there if there were 4 more nickels than quarters?

Click here to see answer by stanbon(57220)

Question 31792: Suppose the numbers of hours of television watched by an adult in one month varies inversely as the number of books read by that adult in that month. Last month, Mr. Brady read 18 books and watched a total of 3 hours of television. This month, he read only 10 books. How many hours did he watch television?
Thank you for taking the time to answer my question.

Click here to see answer by stanbon(57220)

Question 31863: Hello. I think this problem is dealing with linear equations and slope. It would help if you could explain step by step what needs to be done and set up the equation with the answer. Please help me! Thanks! ** A small business predicts sales according to a straight-line method. If sales were $50,000 in the first year and $110,000 in the third year, find the rate of growth in dollars per year.**
Click here to see answer by stanbon(57220)

Question 31864: Hi! I think this problems has to do with slope and linear equations. It would help if you could explain step by step what needs to be done and give the equation with the answer. Thanks so much! ** An antique clock is expected to be worth $350 after 2 years and $530 after 5 years. Write an equation to represent the expected value, and use it to determine the value the clock should be worth after 10 years. **
Click here to see answer by stanbon(57220)

Question 31886: Boy do I need help! Here's the problem: An airplane can fly downwind a distance of 600miles in 2hrs. However, the return trip against the same wind takes three hours. Find the speed of the wind.
I tried to make a chart and ended up that the wind was going 250 miles an hour and I don't think that sounds right. Any help would be really appreciated. Thank you,Liz
Click here to see answer by mbarugel(146)

Question 31827: The selling price was $108. If the markup was 20 percent of the purchase price, what was the purchase price? What was the markup?
Click here to see answer by mukhopadhyay(490)

Question 31985: The sum of t
hree numbers is five. The first number minus the second number plus the third number is one. The first number minus the third number is three more than the second number. Find the numbers
Click here to see answer by stanbon(57220)

Question 28330: Please help me with this problem. For some reason I can't get the right answers for price comparison.
Del Monte asparagus spears sell for $1.39 for 8oz, and Green Giant asparagus spears cost $1.99 for 12 oz. Which is the better buy, and by how much, rounded to the nearest tenth of a cent.
I divided the price by the ounces and came up with .17 cents for both. The answer is the Green Giant brand becuase it is .8 cents cheaper. ??????
Thanks, in advance, for the help!! :)
Click here to see answer by stanbon(57220)

Question 31070: After a square picture is framed with a two-inch border, the picture and frame occupy 96 square inches more of wall space than did the picture alone. Find the dimensions of the picture.
Click here to see answer by checkley71(8403)

Question 32160: The electrical resistance, R, of a wire varies directly as its length and inversely as the square of its diameter. If the resistance of a 100 meter wire having a diameter of 1/2 cm. is 0.75 ohms, find the resistance of a 300 meter wire with a diameter of 1/4 cm.
Click here to see answer by stanbon(57220)

Question 32158: The volume of gas a constant temperature varies inversely as the pressure. Find the volume of a gas under pressure of 20 pounds, if the gas occupies 15 cubic centimeters under a pressure of 30 pounds.
Click here to see answer by Paul(988)

Question 32159: The number of cars manufactured on an assembly line varies jointly as the number of workers and the time they work. If 200 workers can produce 64 cars in 2 hours, find how many cars 240 workers should be able to make in 5 hours.
Click here to see answer by mukhopadhyay(490)

Question 32156: Lynn can mow the lawn in 3 hours using a riding lawn mower. Her brother can mow the same lawn in 7 hours using a push mower. How long would it take them to mow the lawn working together?
Click here to see answer by venugopalramana(3286)

Question 32195: In the short growing season of the Canadian arctic territory of Nunavut, some gardners find it possible to grow gigantic cabbages in the midnight sun. Assume that the final size of a cabbage is proportional to the amount of nutrients it receives, and inversely proportional to the number of other cabbages surrounding it. A cabbage that received 20 oz. of nutrients and had 12 other cabbages around it grew to 30 lb. What size would it grow to if it had received 10 oz. of nutrients and had only 5 cabbage "neighbors"?
I tried 30=20/12 trying to find a constant to match x = 10/5
Thanks so much for all your help!
Click here to see answer by Paul(988)

Question 32203: Suppose a class takes an exam and earns and average of 55.2. If all students earned integer scores from 0 to 100, is it possible to find four of the students whose average is 55.2?
Click here to see answer by stanbon(57220)

Question 32202: If c is asn odd integer, the show that the equation x^2+x-c=0 has no integer solutions.
Click here to see answer by Fermat(127)

Question 31079: Mr. Balter wanted to make a plywood rectangular table top that would be 3 feet longer than it was wide. He found that by making the top 1 foot narrower and 2 feet shorter than planned, he could save $2.60 on the plywood. If the plywood he was using cost 20 cents per square foot, what were Mr. Balter's original dimensions for his table top?
Click here to see answer by checkley71(8403)

Question 32194: Kepler's Third Law of planetary motion states that the square of the period T of a planet (the time it takes for the planet to make a complete revolution around the sun) is directly proportional to the cube of its average distance d from the sun.
a.) Express Kepler's Third Law as an equation.
b.) Find the constant of proportionality by using the fact that for our planet the period is about 365 days and the average distance is about 93 million miles.
c.) The planet Neptune is about 2.79 x 10^9 mi from the sun. Find the period of Neptune.
The equation I got is T^2/d^3, but for b and c I'm confused about the units.
Thank you all so very much!
Click here to see answer by stanbon(57220)

Question 31073: A square window is framed by two rectangular wooden shutters. Each shutter is as long as one side of the window and its width is 18 inches less than its length. If the area covered by one of the shutters is 594 square inches less than the area covered by the window, find the dimensions of one shutter.
Click here to see answer by checkley71(8403)

Question 31011: In one day, Sheila received 13 packages.. Federal Express delivered three times as many as Airborne Express, while U.S. delivered 2 fewer than Airborne Express. How many packages did each service deliver to Sheila?
Click here to see answer by checkley71(8403)

Question 32229: The differece betweem the digits' in a two-digit numeral is 3. The units' digit is twice the tens' digit. Find the numeral.
Click here to see answer by Paul(988)

Question 32201: Show that neither x=1 nor x=-1 cxan be solution to the equations ax^2+2bx+a=0 where a and b are integers with b odd.
Click here to see answer by venugopalramana(3286)

Question 32271: In A Certain city, the coust of a taxi ride is computed as follows. There is a fixed charge of 2.95 as soon as you get in the taxi, to which a charge of 1.65 per mile is added. Find an equation to find the cost, C(X) of an x-mile taxi ride, and use this equation to find the cost of a five mile taxi ride.
Click here to see answer by mbarugel(146)

Question 32278: Bill incested $2,000 at 9% compounded continuously. How much money did he have after 4 years? (steps on a calculator)
Click here to see answer by mukhopadhyay(490)

Question 32278: Bill incested $2,000 at 9% compounded continuously. How much money did he have after 4 years? (steps on a calculator)
Click here to see answer by TinaH(1)

Question 31078: Steve's first aquarium had a rectangular base that was 8 inches longer than it was wide. He replaced this with a larger aquarium that was 2 inches wider and 4 inches longer than the first one. He found that if he filled each to a depth of 10 inches, it required 840 cubic inches more water to fill the new aquarium than the old. What were the dimensions of the base of the original aquarium?
Click here to see answer by checkley71(8403)

Question 32325: lynn can mow the lawn in 3 hours using a riding lawn mower. Her brother can mow the same lawn in 7 hours using a push mower. How long would it take them to mow the lawn working together?
Click here to see answer by checkley71(8403)

Question 32368: Boyle's Law states that the volume of a gas varies inversely with the pressure of the gas if the temperature remains constant. At sea level, where atmospheric pressure is 14.7 lb/in^2, a balloon used for underwater rescues contains 50 ft^3 of air. Find the volume of air in the balloon when a scuba diver descends to a depth of 100ft. and fills the balloon, assuming that the temperature does not change. For each foot below sea level pressure increases by 0.44 lb/in^2
Click here to see answer by stanbon(57220)

Question 32403: a man rode a bike for 12 miles and hiked 8. The total time for the trip was 5 hours. If his rate when he was riding a bike was 10mph faster than his rate walking, what was each rate?
Click here to see answer by Paul(988)

Question 32402: Frank can type a report in 2hrs and james takes 5hrs. How long does it take them together?
Click here to see answer by mukhopadhyay(490)

Question 32405: The number of mosquitoes m(x) in millions, in a certain area depends on the june rainfall x, in inches. m(x)-20x-x^2. What rainfall produces the max number of mosquitoes? 400, 10,0,20
Click here to see answer by mukhopadhyay(490)

Question 32404: A rock falls from a tower that is 93.1 m high. As it is falling, its height is given by the formula h=93.1- 4.9t^2, with T in seconds. How many seconds will it take for the rock to hit the fround. (h=0)
Click here to see answer by mukhopadhyay(490)

Question 32398: Denise inherited 60k. She invested part at 7% and deposited the remainder in tax free bonds at 8%. Her total annual income from the investments was 4400. Find the amount at 7%
Click here to see answer by mukhopadhyay(490)

Question 32297: What is the largest number of distinct postive intgers that can be found such that no four of them cab be selectedd with a sum divisable by 4?
Click here to see answer by venugopalramana(3286)

Question 32326: The period (the time required for one complete swing) of a simple pendulum varies directly as the square root of its length. If a pendulum 12 feet long has a period of 4 seconds, find the period of a pendulum 3 feet long.
Click here to see answer by mukhopadhyay(490)

Question 32520: I'm stuck on this one. It says the pressure P of a sample of gas is directly proportional to the temperature T and inversely proportional to the volume V.
a.) Write an equation that expresses this variation.
b.) Find the constant of proportionality if 100 L of gas exerts a pressure of 33.2 kPa at a temperature of 400 K (absolute temperature measured on the Kelvin scale).
c.) If the temperature is increased to 500K and the volume is decreased to 80L, what is the pressure of the gas?
Thank you all so much once again!
Click here to see answer by Paul(988)

Question 32531: Show that the product of a non-zero rational number and an irrational number is an irrational number.
Click here to see answer by ikdeep(226)

Question 32539: Marti produces jackets. There are fixed cost of 510 dollars to set up production, and a variable cost of 39 per jackets. Write and equation that be used to determine the total cost, c(x), encountered by martis company in producing x jackets and use the equation to find the total cost of producing 120 jackets
Click here to see answer by stanbon(57220)

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