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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 137640: a swimming pool can be filled in 18 hours if water enters a pipe alone, or in 25 hours if filled through a hose alone. if water is entering through the hose and pipe both, how long will it take to fill the pool?
Click here to see answer by scott8148(6628)

Question 137750: A rare coin is purchased for $400 in 2001. Its value increases by 8% each year. About how much will the coin be worth in 2010?
A. $634.75
B. $685.53
C. $740.37
D. $799.60
Click here to see answer by checkley77(12844)

Question 137778: I have been having trouble on this problem for awhile now and I was wondering if anyone could help me? Please and Thank You!! I would deeply appreciate it!
Factor completely. check for a greatest common factor first.
X^8-1
Click here to see answer by Fombitz(32388)

Question 137772: I solved this problem but I don't think I did it right. I think I am suppose to use a fomula but I couldn't get far with it. Please help!
Alice saw 6 white rabbits every 10 days. How many rabbits did she see in 25 days?
First, I just said well 10 and 10 is 20 so if she saw 6 rabbits in 10 days then she saw 12 rabbits in 20 days plus 3 for five days left makes 15 rabbits.
Then, I thought maybe I am suppose to use a formula. So I tried 6/10=x/25
But I didn't know what to do next.
Click here to see answer by Fombitz(32388)

Question 137751: Shannon buys a car for $33,500. The car depreciates in value by 15% pere year. How long will it take the car to decline below $15,000 in value?
F. 8 years
G. 7 years
H. 6 years
J. 5 years
Click here to see answer by Fombitz(32388)

Question 137813: If a store sold 45 chairs last month and 30 chairs this month, what was the percent decrease in the number of chairs sold. my answer is 15%
Click here to see answer by josmiceli(19441)

Question 137812: in a car lot 9 out of every 16 cars are used cars. Of the used cars 2 out of every 3 are less than five years old. If the number of used cars less than five years old is 24 what is the total number of cars in the lot. My answer is 64
Click here to see answer by josmiceli(19441)

Question 137814: When 8 more than a certain unknown number was divided by that number the result was 3. What was the unknown number?
Click here to see answer by ankor@dixie-net.com(22740)

Question 137942: A car dealer advertised a big sale by stretching a string of bananas from the top of the building to the edge of the driveway. If the building is 16 m high and driveway is 31 m from the building, how long is the string of banners (to the nearest tenth)?
Click here to see answer by vleith(2983)

Question 138062: a train rises 1 meter for every 11 meters it moves along the track. find the angle of elevation of the track to the nearest degree.
Click here to see answer by ankor@dixie-net.com(22740)

Question 138190: If Sally can paint a house in 4 hours and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together?
Click here to see answer by solver91311(24713)

Question 138178: 1. The combined area of two squares is 26 square meters. the sides of the larger square are five times as long as the sides as the sides of the smaller square. find the dimensions of each of the squares?
Click here to see answer by stanbon(75887)

Question 138181: The lenght of an altitude of a triangle is one-third the lenght of the side to which it is drawn. If the area of the triangle is 6 square centimeters, find the lenght of that attitude?
Click here to see answer by solver91311(24713)

Question 138114: A driver gear with 75 teeth running at 32 rpm (revolutions per minute) will transfer what rpm to a driven gear with 24 teeth?
Click here to see answer by scott8148(6628)

Question 138113: A rectangle is twice as long as it is wide and its area is 968 square feet, what is its lenghth?
Click here to see answer by scott8148(6628)

Question 138259: I need help with this question
how can determine if two lines are perpendicular
Click here to see answer by stanbon(75887)

Question 138262: Callaway Golf Company has determined that the daily cost C of manufactoring x Big-Bertha-type gold clubs may be expressed by the quadratic equation C(x)=5x^2-620x+20,000,
a)How many clubs should be manufactured to minimize the cost?
b)At this level of production, what is the cost per club?
c)What are the fixed cost of production (the cost to produce 0 clubs)?
Thank you so much tutors, you all are so much help!
Click here to see answer by solver91311(24713)

Question 138179: Suppose that the lenght of a rectangle is one and one-third times long as its width. The area of the rectangle is 48 square centimeters. Find the lenght and width of the rectangle?
Click here to see answer by brandonpark2889(31)

Question 138269: 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 stanbon(75887)

Question 138277: A concrete driveway measures 18 yards by 4 yards. the driveway will be 0.5 yards thick. (a) How many cubic yards of concrete will be needed? (b) How much will it cost if concrete is $3.50 per cubic yard?
Click here to see answer by solver91311(24713)

Question 138321: Please help me if you can.
The area of a triangular sheet of paper is 28 square inches. One side of the triangle is 2 inches more than three times the lenght of the altitude to that side. Find the lenght of that side and the altitude to the side?
Thank you
Click here to see answer by scott8148(6628)

Question 138316: Please help, I am lost at how to do this problem.
The combined area of a square and a rectangle is 64 centimeters. The width of the rectangle is 2 centimeters more than the lenght of a side of the square, and the lenght of the rectangle is 2 centimeters more than it width. Find the dimensions of the square and the rectangle?
Click here to see answer by scott8148(6628)

Question 138375: a building is 540 feet high . neglecting air resistance, the height of an object dropped from the top of this building at time t is given by the polynomial -16t^2
+ 540 . Find the height of the object after 5 seconds
Click here to see answer by stanbon(75887)

Question 138319: Please Help!
1). The Ortegas have an apple orchard that contains 90 trees. The number of trees in each row is 3 more that twice the number of rows. Find the nmber of rows and the number of trees per row?
2). The area of the floor of the rectangle room is 175 square feet. The lenght of the room if 1 1/2 feet longer than the width. Find the length of the room.
Click here to see answer by ankor@dixie-net.com(22740)

Question 138419: Please please help! This is a natural logorithm ? I got half, but now I am stumped, and I need it for tomorrow!!! Here it is:
Suppose that the function P=11+44 ln x represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2002.
Carry all calculations to six decimals on each intermediate step when necessary.
a) Use this model to approximate the percentage of spam in the year 2006 to the nearest tenth of a percent.
Answer: Approximately 37.5%
Show your work in this space: P = 11 + 44ln 4
P = 11 + 44 � 0.602059
P = 11 + 26.490596
P = 37.490596
b) Use this model to determine in how many years it will take for the percent of spam to reach 85% provided that law enforcement regarding spammers does not change.
Answer:
Show your work in this space:
85=11+44 ln x
74=44 ln x (now am stuck)

Click here to see answer by scott8148(6628)

Question 138572: A bus has no legs. There are 7 girls in a bus. Each girl has 7 backpacks. In each backpack there are 7 big cats. For every big cat there are 7 little cats.
Question: How many legs are there in the bus?
Click here to see answer by edjones(8007)

Question 138922: If the perimeter of a dance floor is 34m and the area is 60m squared. What are the lengths of the sides?
Click here to see answer by edjones(8007)

Question 138970: One eighth of the square root of 7 less than a number is 2. What is the number?
I also need the proof for it.
Please and Thank You=)
Click here to see answer by scott8148(6628)

Question 138993: The size of an insect population is given by the model where represents the number of insects in the population at time , and represents time measured in days.
a. Evaluate and use a complete sentence to interpret your answer.
b. Evaluate and use a complete sentence to interpret your answer.
c. According to this model, when will the insect population double?
d. Graph the function. Does this seem to be a good model for an insect population?

Click here to see answer by stanbon(75887)

Question 138990: Below are two sets of data. One of the sets describes a linear function and the other describes an exponential function. Which is linear and which is exponential? Explain how you know. Find a formula for each function. For this problem, it is not acceptable to use results from your graphing calculator.
Table 1
x, g(x)
-2, 0.4444
-1, 1.3333
0, 4
1, 12
2, 36
3, 108
4, 324
5, 972
6, 2916
Table 2
x, f(x)
-2, 4
-1, 3.5
0, 3
1, 2.5
2, 2
3, 1.5
4, 1
5, 0.5
6, 0

Click here to see answer by stanbon(75887)

Question 139120: I'm having trouble with this problem:
When Victor shoots a model rocket into the air, the height of the rocket above the ground is a function of time. The equation that can be used to represent this situation is , where h is the height in feet and t is the time in seconds. What is the maximum height the rocket reaches? How long does it take the rocket to fall back to the ground from liftoff?
Click here to see answer by scott8148(6628)

Question 139182: A projectile is fired from a cliff 200 feet above the water at an inclination of 45 degrees to the horizontal, with a muzzle velocity of 50 feet per second. The height of the projectile above the water is given by

where is the horizontal distance of the projectile from the base of the cliff.
a.)Explain how you know whether the height function obtains a maximum or minimum.
b.)How far from the base of the cliff is the height of the projectile a maximum?
c.)Explain what you are finding if you solve the equation below.

d.)Solve the equation in part c.
Click here to see answer by solver91311(24713)

Question 139185: A projectile is fired from a cliff 200 feet above the water at an inclination of 45 degrees to the horizontal, with a muzzle velocity of 50 feet per second. The height h of the projectile above the water is given by
h(x)=-32x^2/(50)^2+x+200
where x is the horizontal distance of the projectile from the base of the cliff.
a.)Explain how you know whether the height function obtains a maximum or minimum.
b.)How far from the base of the cliff is the height of the projectile a maximum?
c.)Explain what you are finding if you solve the equation below.
-32x^2/(50)^2+x+200=0
d.)Solve the equation in part c.

Click here to see answer by solver91311(24713)

Question 139279: I need some help with this word problem. Thanks.
One-half of a road construction project was completed by six workers in 12 days. Working at the same rate, what is the smallest number of workers needed to finish the rest of the job in exactly four days?
Click here to see answer by solver91311(24713)

Question 139245: Factor trinomials.
2x^2+10x+8
2(x^2+5x+4)
2(x^2+1)(5x+4)
Is this right?
Click here to see answer by solver91311(24713)

Question 139288: Can someone help us with this problem? We are working on it in a group and all go a different answer, so we would like to know who got the right answer if any of us, thanks.
The problem is:
Of the 23 homes in a subdivision, 7 need roofing and 5 need landscaping. If two homes need both roofing and landscaping, how many need neither?
The different answers we got were 11 homes, 9 homes 7 homes and 5 homes have no idea where that one came from. Thanks for the help.
Click here to see answer by stanbon(75887)

Question 139291: Sally works at a grocery store. In one week she earned $390 for working 47 hours of which 7 hours were overtime. The next week she earn $416 for working 50 hours of which 8 hours were obertime. What is Sally's hourly overtime rate in dollars per hour?
I have worked on this for 3 days now and can't get answer that works it would be great if someone could help.
Click here to see answer by stanbon(75887)

Question 139261: Factor trinomials.
2x^2+7x-15
(2x )(7x )
How?
Click here to see answer by stanbon(75887)

Question 139283: Factor trinomials.
2x^2+9x-18
(2x )(x )
Need help!
Click here to see answer by scott8148(6628)

Question 139281: Factor trinomials.
2x^2-8x-24
2(x^2-4x-12)
2(x )(-4x )
Need help!
Click here to see answer by SnowXclouD(11)

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