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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 108319: The U.S. population in 1990 was approximately 250 million, and the average growth rate for the past 30 years gives a doubling time of 66 years. The formula is P(in millions)=250 * 2 (y-1990/66)
What will the population of the united states be in 2025 if this growth continues?
Please help I have no idea how to get this started.
Click here to see answer by MathLover1(6625)

Question 108367: My question is not in my textbook. It is a take home sheet
I have a problem that I do not know how to set up can you help me? The word problem is: The function f(x)=1+1.5ln(x+1) models the average number of free-throws a basketball player can make consecutively during practice as a function of time, where x is the number of consecutive days the basketball player has practiced for two hours. After how many days of practice can the basketball player make an average of 10 consecutive free throws?

I do not have a model to answer this question can you help me set it up so I can answer it. Thanks Melinda
Click here to see answer by ankor@dixie-net.com(15646)

Question 108383: Thanks in advance for helping me, you guys are life savers!! Here is the problem:
According to Seattle Post-Intelligencer (July 10, 2007) 900 million pounds of trash per year is transported from Seattle to a landfull in Arlington, Oregon. It costs Seattle $23 million to transport the trash.
Write the numbers given above in scientific notation, and compute the cost to transport one pound of trash.
Click here to see answer by stanbon(57290)

Question 108369: The speed of a bicyclist is 10mph faster than the speed of a walker. If the bicyclist travels 26 miles in the same amount of time that the walker travel 6 miles the speed of the bicyclist.
Click here to see answer by ankor@dixie-net.com(15646)

Question 108418: A rectangle is twice as long as it is wide. If its length and width are both decreased by 4 cm, its area is decreased by 164 cm2. Find its original dimensions.
Click here to see answer by ankor@dixie-net.com(15646)

Question 108217: carol,ava and cindy swim at a public pool each day . one day carol swam twice as many laps as ava and cindy swam three more laps than ava. if the women swam 27 laps together, how many laps did each swim?
Click here to see answer by elima(1433)

Question 108455: Construction: Concrete weighs 150 lb/cu ft.
What is the weight of a concrete wall 18 ft long, 4 ft 6 in high and 8 in thick?
Click here to see answer by waiwai933(6)

Question 108457: Roofing: A flat roof 28 ft long and 16 ft wide has a 3 in depth of water sittin on it. What is the weight of the watr on the roof? Water weighs 62.5 lb/cu ft.
Click here to see answer by checkley71(8403)

Question 108453: Carpentry: A carpenter needs to pour a rectangular slab 28 ft long, 16 ft wide, and 6 in thick. How many cubic yards of concrete does the carpenter need? round to the nearest tenth.
Click here to see answer by checkley71(8403)

Question 108644: Marlee made $5 an hour working after school and $6 an hour working on Saturdays. Last week she made $64.50 by working a total of 12 hours. How many hours did she work on Saturday?
Click here to see answer by checkley71(8403)

Question 108655: A coffee merchant has coffee beans that sell for $9 per
pound and $12 per pound. The two types are to be mixed to create 100 lb of a mixture
that will sell for $11.25 per pound. How much of each type of bean should be
used in the mixture?
Click here to see answer by edjones(7569)

Question 108670: One positive number is three more than twice another. If the product is 27, find the numbers.
?? So stumped...please help~
Click here to see answer by wgunther(43)

Question 108675: 4x-12y=5
-x+3y=-1
solve by substitution
tried it like this 4(3y-1)=5 but it was not comming out right

Click here to see answer by scott8148(6628)

Question 108675: 4x-12y=5
-x+3y=-1
solve by substitution
tried it like this 4(3y-1)=5 but it was not comming out right

Click here to see answer by edjones(7569)

Question 108675: 4x-12y=5
-x+3y=-1
solve by substitution
tried it like this 4(3y-1)=5 but it was not comming out right

Click here to see answer by Earlsdon(6287)

Question 108671: Find two consecutive integers whose product is 110. I need help setting up the question, solving I can do. PLease and thanks!!
Click here to see answer by scott8148(6628)

Question 108673: The product of two consecutive even integers is 168. Find the integers. PLEASE HELP!
Click here to see answer by wgunther(43)

Question 108701: A word problem that confuses me. Please show me the steps, thank you!
Science and medicine. The equation h = -16t^2 + 112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft.
Click here to see answer by ankor@dixie-net.com(15646)

Question 108689: A landscaper wants to put a cement walk of uniform width around a rectangular garden that measures 24 by 40 feet. She has enough cement to cover 740 square feet. To the nearest tenth of a foot, how wide should the walk be in order to use up all the cement?
There is a group of us working on this problem. However, we have got two different answers. Can you please provide your answer if these are wrong or your opinion if one is right? Thanks much :)
Answer #1
2(24-40)(5.7)
48+80(5.7)
128(5.7)
=729.60
Therefore the walk should be 5.7 feet wide.
Answer #2
(2x+24)(2x+40)-960=740
4x^2+128x+960-960=740
4x^2+128x=740
4x^2+128x-740=0
4x^2+128x740/4=0/4
x^2+32x-185=0
(x+35)(x-2)
x= -35
x=2
The path can not bee -35 so the answer would be 2ft is the width of the walk.

Click here to see answer by edjones(7569)

Question 108651: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?
Click here to see answer by scott8148(6628)

Question 108767: The height of a triangle is 4 feet less than the base. The area of the triangle is 16 square feet. Find the length of the base and heigh of the triangle.
Click here to see answer by Fombitz(13828)

Question 108754: A family made a trip by car.
They traveled 1312 km in 3 days.
On the 2nd day, they traveled 2 times the number of km from the 1st day.
On the 3rd day, they traveled 98 km less than the 2nd day.
Find the distance traveled every day.
Click here to see answer by elima(1433)

Question 108769: A Christmas tree is supported by a wire that is 1 foot longer than the height of the tree. The wire is anchored at a point whose distance from the base of the tree is 49 feet shorter than the height of the tree. What is the height of the tree? PLEASE HELP
Click here to see answer by scott8148(6628)

Question 108797: I am stuck on a few problems. If at all possible could someone please help me thank you.
1. The tax increase is more than $7890.
2. Find the area of a triangle whose altitude is 7 feet and whose base is 22 feet.
3. Four less than nine times a number is one hundred twenty-two. Find teh original number.
Click here to see answer by stanbon(57290)

Question 108846: Thor's avverage driving speed is 14 kil. per hour. faster than Doug's. In the same length of time it takes Thor to drive 348 kil., Doug drives only 292 kil. what is Thor's average speed?
Click here to see answer by checkley71(8403)

Question 108850: Train A leaves a station traveling at 96 kil. per hour. 2 hours later, Train B leaves the same station traveling in the same direction at 106 kil per hour. How long does it take Train B to chatch up to Train A?
Click here to see answer by checkley71(8403)

Question 108771: The length of a rectangle is five times the width. If the area is 180 square inches, find the length and width of the rectangle.
Click here to see answer by scott8148(6628)

Question 108768: The area of a square is 81 square square centimeters. how long is each side of the square?
Click here to see answer by scott8148(6628)

Question 108766: One formation for a drill team is rectangular. The number of members in each row exceeds the number of rows by 3. If there is a total of 108 members in the formation, how many rows are there?
Click here to see answer by scott8148(6628)

Question 108765: The length of a rectangle is 4 feet less than the length. The area is 117 square feet. Find the length and width of the rectangle.
Click here to see answer by scott8148(6628)

Question 108884: Cows cost $10, pigs cost $3 and chickens cost $0.50. A man buys 100 animals for $100. How many of each animal does he have? he must have at least one of each animal.
Click here to see answer by ankor@dixie-net.com(15646)

Question 108883: Cows cost $10, pigs cost $3 and chickens cost $0.50. A man buys 100 animals for $100. How many of each animal does he have? he must have at least one of each animal.
Click here to see answer by josmiceli(9668)

Question 108849: Gillbert and Chris drove a total of 1040 miles in 17.4 hours. Gillbert drove the first part of the trip and averaged 55 miles per hour. Chris drove the remainder of the trip and averaged 65 miles per hour. For what length of the time did Gillbert drve?
Click here to see answer by ankor@dixie-net.com(15646)

Question 109030: The number of milligrams of a certian subtance per liter in samples of drinking water all tested within .05 to 40 milligrams per liter. Write this information as an inequality, using absoulute value.
At first I thought that this would be set up as the absolute value of .05< =40. BUt now I am not so sure. Can you please explain to me what I should do differently?
Also do inequalities always have to be able to be solved?
Thank you so much!!!!!
Click here to see answer by stanbon(57290)

Question 108976: A rectangular garden has width of x and a perimeter of 200 feet. Find x so that the area of the garden is maximized.
Click here to see answer by ankor@dixie-net.com(15646)

Question 109037: If the balloonist of Exercise 83 throws his sandbag downward from an altitude of 128 feet with an initial velocity of 32 feet per second, then its altitude after t seconds is given by the formula h=-16t^2-32t+128. How long does it take for the sandbag to reach the earth?
I'm really struggling with this one, just wondering if anyone would be kind enough to help. Thanks so much!!!
Click here to see answer by stanbon(57290)

Question 109027: One car rental firm charges $75.00 for a weekend rental (FRiday afternoon through mOnday morning) and gives unlimited mileage. A second firm charges $50, plus 5 cents per mile. For what range of miles driven is the second firm cheaper?
I am having difficulties coming up with an equation to solve this problem. Can you please assist.
THank you kindly :)
Click here to see answer by scott8148(6628)

Question 109038: Place the following set of numbers in ascending order.
20, -7, 5,-5 ,12, 4, 15
Click here to see answer by Edwin McCravy(8895)

Question 109079: Landscaping: at an excavation site a conical pile of earth 9 ft high and 14 ft in diameter at the base must be hauled away by a small truck with a capacity of 2.6 cu yd. How many truckloads will it take to transport the soil? Be careful with units.
Click here to see answer by scott8148(6628)

Question 109098: sasha works at the botanical gardens and is planning a new rectangular rose garden 20m by 30m. She plans to build a walkway, with a uniform width, all around the garden. Her budget is $6000 and she knows it will cost $10/m2 to construct the hallway. How wide can the walkway be?

Click here to see answer by ankor@dixie-net.com(15646)

Question 109167: A tennis club offers two payment options:
Option1: $35 monthly fee plus $4/hour for court rental
Option 2: No monthly fee but $6.50/hour for court rental.
Let x = hours per month of court rental time.
a) Write a mathematical model representing the total monthly cost, C, in terms of x for the following:
Option 1: C=_________________
Option 2: C=_________________
b) How many hours would you have to rent the court so that the monthly cost of option 1, is less than option 2. Set up an inequality and show your work algebraically using the information in part a.

Click here to see answer by stanbon(57290)

Question 109280: two pipes togather can fill a large tank in 10hrs. one of the pipes , used alone , takes 15hrs longer than the other to fill the tank . hown long would each pipe take to fill the tank alone?
Click here to see answer by stanbon(57290)

Question 109246: An open rectangular gutter is made by turning up the sides of a piece of metal 20 in. wide. The area of the cross-section of the gutter is 50 in.^2. Find the depth of the gutter.
Click here to see answer by ankor@dixie-net.com(15646)

Question 109329: ron takes two hours more than paul to mow the lawn . working togather they can mow the lawn in 5 hrs . how long does it take each of them working alone

Click here to see answer by ankor@dixie-net.com(15646)

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