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

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Question 369404: Please help me solve this problem: A family wants to rent a boat which costs $500 for the first 2 hours and $50 for each additional half hour. They can spend $700 for the boat. What inequality represents how many hours they can rent the boat?
I tried solving for h as (500/2h)+(50/.5h)<=700. I know the answer is less than or equal to 4 hours, but can't figure out the equation to get me there. Thanks!
Click here to see answer by scott8148(6628)

Question 369423: Megan broke the fan belt on her car. the belt goes around two pulleys whose centers are 15 inches apart and each pulley is 4 inches in diameter. how long should the belt be?
Click here to see answer by robertb(5830)

Question 369455: Can someone please help with this problem I do not understand?
f(x)=x=7 what is f(-15)=
Click here to see answer by Alan3354(69443)

Question 369455: Can someone please help with this problem I do not understand?
f(x)=x=7 what is f(-15)=
Click here to see answer by Edwin McCravy(20054)

Question 369473: I need help with this problem
Construct a polynomial function with the stated properties
Third degree, only real coefficients, -4 and 4+4i are two of the zeros, y-intercept is -68
Click here to see answer by Fombitz(32388)

Question 369483: Mr Williams counts his midterm as 2/3 of the grade and his final as 1/3.
Jack scored a 48 on the mid term. What range of scores on the final exam will he have to make to get an average between 70 and 79 inclusive?
Click here to see answer by ewatrrr(24785)

Question 369456: Can someone help me find a solution for this problem.
p(d)=1+d/33 gives the pressure in atmospheres (atm) at a depth d in the sea (d is in feet.) Note that p (0)=1 atm, P (33)=2 and soon. Find the pressure at 140 feet. The pressure at 140 feet is ______ atm ( type an integer or a simplified fraction.
Click here to see answer by Fombitz(32388)

Question 369491: Henry bought 280 blue and red paper cups. He used 1/3 of the blue ones and 1/2 of the red ones at a party. If he had an equal number of blue cups and red cups left, how many cups did he use altogether.
Click here to see answer by stanbon(75887)

Question 369490: Ashley is making punch for a party. The recipe requires twice as much orange juice as cranberry juice and 8 times as much ginger ale as cranberry juice. If she plans to make 176 onces of punch, how much of each ingredient should she use.
Click here to see answer by nerdybill(7384)

Question 369514: Find 2 consecutive intergers such that the larger added to three times the smaller, is 109
Click here to see answer by Fombitz(32388)

Question 369512: Christine and Jessica leave from the same spot at the same time and begin jogging in opposite directions. At the end of an 1 1/2 hours they are 15 miles apart. Find Christine's average speed if her average speed is 2 miles per hour more than Jessica's average speed.
Click here to see answer by CharlesG2(834)

Question 369704: a park ranger caught. tagged and released 612 deer. He then caught 244 deer from the same locaction. 72 of those deer were tagged. How many deer are in that location? The answer is 2074 deer; however, I do not know how to arrive at that answer. What is the constant and how is it derived?
Click here to see answer by checkley77(12844)

Question 369897: A new swimming pool opened and on the first three days 246 people went swimming. On the first day 79 people swam. On the second day 47 more people swam than on the third day. How may people swam on the third day?
Click here to see answer by neatmath(302)

Question 369967: a rocket is fired with and initial speed of 1764m/s. After how many seconds will it hit the ground?
Click here to see answer by Fombitz(32388)

Question 370003: A certain computer does one calculation in 6 * 10^-7 second. How long does this computer take to do 8 million calculations?

Click here to see answer by robertb(5830)

Question 370160: Central High School has 480 freshmen. Of those freshmen, 333 take Algebra, 306 take Biology, and 188 take both Algebra and Biology. How many freshmen at Central High School take neither Algebra nor Geometry?
Click here to see answer by jsmallt9(3758)

Question 370033: A. Perfume is sold in 10mL and 25mL bottles. If a chemist orders 600mL of perfume and receives 33 bottles, how many of each did he receive?
B. A boat travels 120km upstream against the current in 5 hours, but makes the return trip in only four hours. Find the speed of the current and the speed of the boat in still water.
Please help, Ive tried all different ways for both questions, but I must be using the wrong information.
Click here to see answer by Fombitz(32388)

Question 370332: The tree casts a shadow c=8 feet long while a person a=6 feet tall casts a shadow b=2 feet long. Find the height of the tree?
Click here to see answer by amoresroy(361)

Question 370330: The length of a rectangle is ten times the width. The area is 490 cm�. Find the length and the width.
Click here to see answer by Alan3354(69443)

Question 370389: let L1 and L2 be the line passing through (1,-2) and(4,1), and L2 is the line containing (2,4) and (6,5). Find it an angle between L1 and L2.
Click here to see answer by Alan3354(69443)

Question 370485: Today,you took your car to have the tires rotated and to have the windshield wiper blades replaced. You have your tires rotated every six months and you replace the windshield wiper blades every eight months. In how many months will you next rotate the tires and replace the windshield wiper blades on the same day?
Click here to see answer by stanbon(75887)

Question 370488: Find an equation of the line containing the given pair of points (-2, -4) and (-9, -5) the equation of the line in slope- intercept form is y =
Click here to see answer by stanbon(75887)

Question 370459: If x, y, and z are positive integers with xy=24, xz=48, and yz=72, find x+y+z.
Click here to see answer by Edwin McCravy(20054)

Question 370569: One pipe can fill a storage tank in five hours less time than a smaller second pipe can, and together they can fill it in six hours. How long would it take the larger pipe to fill it?
Click here to see answer by ewatrrr(24785)

Question 370597: A rectangular solid has a base with length 5 cm and width 2 cm. If the volume of the solid is 100 cm3, find the height of the solid. [Hint: The volume of a rectangular solid is given by V = LWH.]
Need help trying to figure this out
Thank you
Click here to see answer by robertb(5830)

Question 370604: Find the degree of the polynomial function
3x-x^4 =3/2

Click here to see answer by robertb(5830)

Question 370714: An open document on your computer screen is shaped as a 5-inch square. If you increase the size of the open window without changing its shape, to a new side length s, which equation models the area of the document.
A. area= s squared
B. area= s squared/5
C. s squared-5
D. s cubed
/= divide

Click here to see answer by ewatrrr(24785)

Question 370742: Elaine was charged $126 interest for 1 month on a $1800 credit card balance. What was the monthly interest rate?
Click here to see answer by ewatrrr(24785)

Question 370731: Elaine was charged $126 interest for 1 month on a $1800 credit card balance. What was the monthly interest rate?
Click here to see answer by ewatrrr(24785)

Question 370735: An arithmetic student needs an average of 70 or more to receive credit for the course. She scored 76, 69, and 84 on the first three exams. Write a simplified inequality representing the score she must get on the last test to receive credit for the course.
Click here to see answer by ewatrrr(24785)

Question 370894: An airplane can travel 320 mph in still air. If it travels 690 miles with the wind in the same length of time it travels 510 miles against the wind, what is the speed of the wind? I have the answer I just need help creating an equation for this word problem. The answer is 48 mph.
Click here to see answer by scott8148(6628)

Question 370930: In a laboratory, there were just enough microscopes, test tubes, and calculators so that every 3 students had to share a microscope, every 4 students had to share a test tube, and every 5 students had to share a calculator. If the sum of the number of microscopes, test tubes, and calculators used by the class was 94, how many students were in the class?
Click here to see answer by stanbon(75887)

Question 370891: an office has two copiers. One makes 8 copies per minute and the other makes 10 copies per minute. If both are used at the same time to make a total of 675 copies, how many copies are made by each machine? I have the answers but I need to come up with an equation and don't know how to do that. Here are my answers: 300 copies and 375 copies.
Click here to see answer by ptaylor(2198)

Question 371014: If the square of a number decreased by the number is 56, then what is the numbers?
Click here to see answer by mananth(16946)

Question 371022: Anne and Nancy use a metal alloy that is 15% copper to make jewelry. How many ounces of 10% alloy must be mixed with a 21% alloy to form 121 ounces of the desired alloy?
Click here to see answer by robertb(5830)

Question 370979: Three cubes, whose edges are 2,6 and 8 centimeters long are glued together at their faces. Compute the minimum surface area possible for the resulting figure.
Click here to see answer by robertb(5830)

Question 370896: A boat can travel 5 miles downstream in the same length of time it travels 3 miles upstream. If the rate of the current is 3 mph, find the speed of the boat in still water. I need to create an equation for this word problem as well as find the solution.
Click here to see answer by ankor@dixie-net.com(22740)

Question 370897: An airliner leaves Phoenix traveling at an average rate of 420 mph. Thirty minutes later, a second airliner leaves Phoenix traveling along a parallel route. If the second plane overtakes the first at a point 1680 miles from Phoenix, find its rate. I need help creating an equation to my word problem as well as getting the solution. Thanks
Click here to see answer by ankor@dixie-net.com(22740)

Question 371335: A train left a railroad station in N.Y. at 9:00 AM bound for Washington, D.C. traveling at a uniform speed. At 10:30 AM another train left the same station bound for Washington D.C. (on a different track) averaging 20 mph more than the first train and passed the first train 180 miles from N.Y. Find the speed of each train.
Click here to see answer by stanbon(75887)

Question 371484: A rabbit and a turtle had a race. They started together at the same time and place. When the turtle had only gone 1/4 of the distance, the rabbit had run to the finish line and back to the turtle. How many times is the rabbit faster than the turtle?
Click here to see answer by Aust05(12)

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