Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 37499: Suppose the numbers 1,2,4,8,16,32,64,128,and 256 are placed into the squares in a 3x3 grid in such a way that each of the 9 numbers appears exactly once and the product of the numbers appear exactly once and the product of the numbers appearing in any row or column is the same. What is the value of the product in each row and column?
Click here to see answer by fractalier(1804)   |
Question 37541: One garden hose can fill an above-ground pool in 10 hours. A second hose can fill the pool twice as fast as the first one. If both hoses are used together to fill the pool, how many hours will it take?
Click here to see answer by stanbon(26297)  |
Question 37540: In the Old West, settlers often fashioned tents out of a piece of cloth thrown over tent poles and then secured to the ground with stakes forming an isosceles triangle. How long would the cloth have to so that the opening of the tent was 4 meters high and 3 meters wide?
I tryed this problem thinking that you could solve using the Pythagorean Theorm but you can only use that if it is a right triangle.
Click here to see answer by stanbon(26297) |
Question 37543: The mat around a picture measures x inches across. The length of the picture with its mat is 40 inches, and the width of the picture with its mat is 24 inched. If the area of the picture is 192 square inches, find the dimensions of the picture.
Click here to see answer by fractalier(1804) |
Question 37449: In each of the following statements, fill in the blank with always, sometimes, or never.
a. The graph of a function ¬¬___________ has more than one y-intercept.
b. Horizontal lines ___________ represent the graphs of a function.
c. A linear system ___________ has at least one solution.
d. A system is ___________ both inconsistent and dependent.
e. The graph of the solution set of a system of two linear inequalities is ___________ bounded
Click here to see answer by fractalier(1804) |
Question 37575: PLEASE PLEASE PLEASE!!!! Solve this one for me! I have been stuck on this one for what seems like forever. Please show me work, so I am may learn how to do these.
Find the distance between the points: (4, 1) and (-2, 5)
Thank you in advance!
Click here to see answer by venugopalramana(3286)  |
Question 37602: Each day the commuter train transports x passengers to or from the city at $1.75/passenger. The daily fixed cost for running the train is $1200. Write an equation that relates the daily profit, P, in dollars to the number of passengers each day. Then use the equation to find the daily profit when the train has 920 passengers a day.
Click here to see answer by josmiceli(3013) |
Question 37607: The length of time it takes Brad to get to work varies inversely with his speed of travel. If it takes him 2.5 hours when traveling 15 miles per hour, how long does it take when traveling 50 miles per hour?
Click here to see answer by josmiceli(3013) |
Question 37603: The area of the projected rectangular image varies jointly with the length and width of the image being projected. The area of the projected image of an 8.5-inch by 11-inch image is 374 square inches. Find the area of the projected image of an 11-inch by 17-inch image.
Click here to see answer by Paul(988) |
Question 37605: The volume of an ideal gas varies directly with the temperature T and inversely with the Pressure P. A cylinder contains 15 liters of oxygen at a temperature of 240 K and a pressure of 80 atmospheres. If a piston is lowered into the cylinder decreasing the volume occupied by the gas to 10 liters and the temperature remains constant, what is the pressure?
Click here to see answer by venugopalramana(3286) |
Question 37599: Each week a soft drink machine sells x cans of soda for $0.75/soda. The cost to the owner of the soda machine for each soda is $0.10. The weekly fixed cost for maintaining the soda machine is $25.00/week. Write an equation that relates the weekly profit, P, in dollars to the number of cans sold each week. Then use the equation to find the weekly profit when 92 cans of soda are sold in a week.
Click here to see answer by mszlmb(115)  |
Question 37604: Each month a beauty salon gives x manicures for $12.00/ manicure. The cost to the owner of the beauty salon for each manicure is $7.35. The monthly fixed cost to manintain a manicure station is $120.00. Write an equation that relates the monthly profit, in dollars, to the number of manicures given each month. Then use the equation to find the monthly profit when 200 manicures are given in a month.
Click here to see answer by stanbon(26297) |
Question 37600: On planet X, an object falls 18 feet in 3 seconds. Knowing the distance it falls varies directly with the square of the time of fall, how long does it take an object to fall 100 feet? Round to three decimal places, if necessary.
Click here to see answer by stanbon(26297) |
Question 37593: The amount of time Jesse works on his homework each day varies inversely with the amount of time he spends watching TV that day. If he spends 3 hours working on homework when he watches 0.5 hours of TV, how much time does he spend on homework when he watches 2.5 hours of TV.
Please help THANKS! :)
Click here to see answer by stanbon(26297) |
Question 37655: Andre and Eric have a home improvement business. They get a job to paint Mrs. Stover's living room. Andre can paint a room in 4 hours and Eric can paint a room in 12 hours. They decided to paint together to save time. How long does it take for the two of them to paint the room?
Click here to see answer by junior403(76) |
Question 37757: A family plans to surrond their pool with a patio of constant width. The pool has an area of 150 square feet. The dimensions of the pool with the patio will be 15 feet by 20 feet. Find the dimensions of the pool.
Click here to see answer by junior403(76) |
Question 37755: Alice changes size several times. The ratio of her original height to her second height is 24 to 5. The ratio of her second heigh to her third height is 1 to 12. The ratio of her original height to her forth height is 16 to 1. The tallest of these four heights is 10 feet. What is her shortest height, in inches?
Click here to see answer by fractalier(1804) |
Question 37723: The intensity, I, of light received from a source varies inversely as the square of the distance, d, from the source. If the light intensity is 2 foot-candles at 11 feet, find the light intensity at 19 feet. Round your answer to the nearest hundredth if necessary.
Click here to see answer by fractalier(1804) |
Question 37891: Two students on bicycles leave their classroom building at 10:00 am ans travel opposite directions. If the average speed of one of the students is 12 kilometers per hour and the average speed of the other student is 14 kilometers per hour, at what time will they be 65 kilometers apart?
Click here to see answer by fractalier(1804) |
Question 37891: Two students on bicycles leave their classroom building at 10:00 am ans travel opposite directions. If the average speed of one of the students is 12 kilometers per hour and the average speed of the other student is 14 kilometers per hour, at what time will they be 65 kilometers apart?
Click here to see answer by checkley71(8405) |
Question 37890: A runner decides to run out in the country. He begins to run at an average rate of 9 miles per hour. He runs a certain distance and then turns around and returns along the same route at an average rate of 6 minutes per hour. If the round trip took 2 and a half hours, how far did the runner travel before turning around?
Click here to see answer by checkley71(8405) |
Question 37892: A rectangle with dimension 5 by 8 is incribed in a circle. Wjat are the area and circumference of this circle? Also, find the area of the region inside the circle not covered by the rectangle. (Inscribed means inside with vertex's touching the edge of the circle.)
Click here to see answer by fractalier(1804) |
Question 37915: Bob will rent a car for the weekend. He can choose one of two payment plans. The first plan costs $53.96 for two days plus 15 cents per mile. The second plan costs $39.96 for two days plus 19 cents per mile. How many miles does Bob need to drive for the two plans to cost the same?
Click here to see answer by checkley71(8405) |
Question 37959: In a family there are two cars. In a given week, the first car gets an average of 40 miles per gallon, and the second car gets 35 miles per gallon. The two cars combined drive a total of 1650 miles in that week, for a total gas consumption of 45 gallons. How many gallons were consumed by each of the two cars that week?
Click here to see answer by checkley71(8405) |
Question 38267: Hot Wheels Cycle Shop bought 16 helmets at $30 each.
Some were sold for $60 each.
The rest were sold at a clearance sale price of $45 each.
The profit for Hot Wheels was $375.
How many helmets were sold at the sale price?
Click here to see answer by checkley71(8405) |
Question 38306: The length of a rectangle is decreased by three feet, and the width is increased by one foot, forming a square region having an area of 25 square feet. What is the area of th original rectangular region?
Click here to see answer by Nate(3495) |
Question 38305: A vending machine has $41.25 in it. There are 225 coins total and the machine only accepts nickels, dimes , and quarters. There are twice as many dimes as nickels. How many of each coin are in the machine?
Click here to see answer by Nate(3495) |
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