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

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Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)


Question 172985: This one is kind of difficult for me. Can you help with this?
For a certain angle and a certain water pressure, the path of the water from a hose a fire scene can be modeled by the quadratic equation h=16^2+80t+4, where "h" is the high of the water above ground in feet and "t" is the time in seconds after the water has left the hose.
Find the value of h in the equation for t=0, 1, 2, 3, 4, 5 seconds.
t 0 1 2 3 4 5
h

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Question 172898: I have been struggling to figure out this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Complex fractions
ab^-1+1 over a^-1b+1

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Question 172904: A gardener had 1500 feet of fencing to enclose three adjacent rectangular gardens. determine the demensions that will produce a maximum enclosed area
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Question 172995: A hobby gardner wishes to use 81ft of fencing to enclose a rectangular gardner and sub divide region into two smaller areas. If the total enclosed is 264 ft squared find the dimensions of the enclosed region.
Click here to see answer by stanbon(57307) About Me 

Question 173014: How many solutions does 11x + 7y = 292 have if x and y are positive integers? This question is not from a textbook.
Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 173044: Please help me solve this equation:
You commute 56 miles one way to work. The trip to work takes 10 minutes longer than the trip to home. Your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home?

thank you!!!

Click here to see answer by jim_thompson5910(28579) About Me 

Question 173046: Please help me solve this equation:
A ball is thrown upward with an initial velocity of 30 feet per second from a point that is 24
feet above the ground. The height h (in feet) of the ball at time t (in seconds) after it is
thrown is
h= -16t^2 + 30t + 24
Find the time when the ball hits the ground.

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Question 173082: Please help me If four out of five doctors prefer fast food,then at a convention of 445 doctors,how many prefer fast food.
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Question 173084: Please help me If the rise is 3/2 and the run is 5,then what is the ratio of the rise to the run?
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Question 173093: Helga served honey-roasted peanuts at a party. Each guest took half of the peanuts in the bowl. After passing out peanuts to 7 guests, Helga looked in the bowl and saw that there were 3 peanuts left. How many were there in the beginning?
Click here to see answer by stanbon(57307) About Me 

Question 173079: At a well-known unversity,1/4 of the undergraduate student commute,and 1/3 of the gradute student commute.One-tenth of the undergradute students drive more than 40 miles daily,and 1/6 of the graduate students drive more daily than 40 miles daily.If there are twice as many undergradute students as there are graduate students,then what fraction of the commuters drive more than 40 miles daily.
Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 173176: I need help I'm coming up with crazy answer can you be nice to show me step by step It will really help me alot thank you.

A cell divides into two identical copies every 4 minutes. How many cells will exist after 3 hours?

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Question 173176: I need help I'm coming up with crazy answer can you be nice to show me step by step It will really help me alot thank you.

A cell divides into two identical copies every 4 minutes. How many cells will exist after 3 hours?

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Question 173173: Can someone explain this to me and show step by step so I can have a better understand of this problem thank you so much.
True or false: The function "f(x) = 3x" grows three times faster than the function "g(x) = x". Explain.


thank you so much

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Question 173277: The numbe of people who hear a rumor increases exponentially. If 20 people start a rumor and if each person who hears the rumor repeats it to two people a day, the number of people N who have heard the rumor after t days is given by the function.
N(t)=20(3)^t
a. How many people have heard the rumor after 5 days?
b. After what amount of time will 1000 people have heard the rumor?
c. What is the doubling time for the number of people who have heard the rumor?

Click here to see answer by stanbon(57307) About Me 

Question 173281: First-class postage (for the first ounce) was 20cent in 1981 and 37cent in 2002. Assume the cost increases according to an exponential growth function.
a. Let t =0 correspond to 1981 abd t= 21 correspond to 2002. Then t is the number of years since 1981. Use the data points (0,20) and (21,37) to find the exponential growth rate and fit and exponential growth function
P(t)= P0e ^kt to the data where P(t) is the cost of first-class postage, in cents, t years after 1981.
b. Use the function found in part (a) to predict the cost of first-class postage in 2008.
c. When will the cost of first-class postage be $1.00 or 100cent

Click here to see answer by stanbon(57307) About Me 

Question 173403: Use the exponential decay function P(t) = Poe^kt
Chemistry. The decay rate of krypton-85 is 6.3% per day. What is the half-life?

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Question 173440: Explain when a system of equations will have no solution and when it will have an infinite number of solutions.
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Question 173440: Explain when a system of equations will have no solution and when it will have an infinite number of solutions.
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Question 173430: The decay rate of krypton-85 is 6.3% per day. What is the half-life?
Using the exponential decay function P(t) =Po^e^-kt

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Question 173586: How many moles of He gas does it take fo fill a 3.50L container at STP?
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Question 173584: If 0.332 moles of H2 (g) has a volume of 1.45L and a pressure of 1453mmHg, what is its temperature?
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Question 173719: Ruth's car traveled 120 miles during the first race. During the second race, it traveled 124 miles. If the car averaged 123 miles ove the first three races, how far did it travel during the third race?
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Question 173809: An Architect is designing a rectangular meeting room so that the length is 8 feet greater than 4 times the width. The are of the room needs to be 3200.
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Question 173876: A small city park consists of a rectangular lawn surrounded on all sides by 330 meters squared border of flowers 2.5 m wide. Find the area od the lawn if the entire park is 5 m longer than it is wide.
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Question 173895: A rectangle has a perimeter of 140 Square feet. Maximize the area of the rectangle
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Question 173887: A house has two rooms of equal area. One room is square and the other room is a rectangle 4 ft narrower and 5 ft longer than the square room. Find the area of each room.
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Question 173945: A rocket is launched from ground level with an initial velocity of 224ft/s. The height h in ft. of the rocket at any given t in secs. is h(t)= 224t-16t^2.
a. when will the rocket reacha height of 528?
b. When will the rocket reach the ground?
c. When will the rocket reach its maximum height.
d. What is the maximum height of the rocket?
e. Greaph this situation
f. State the domain and range of the graph?
528=224t-16t^2
16t^2 - 224t + 528 = 0
16(t^2 - 14t + 33) = 0
16[(t-3)(t-11)
t-3=0 t-11=0
t=3 t=11
I go back and substitute these numbers in right, to see which one works?
I'm lost after that.

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Question 173980: How do you solve a^2-2ab+b^2/a-b
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Question 173978: How do you solve x^2-y^2/x+y
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Question 173978: How do you solve x^2-y^2/x+y
Click here to see answer by Mathtut(3670) About Me 

Question 173976: How do you simplify the fractions 2x+8/x+4
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Question 173975: How do you simplify the fraction 3a+b/6a+2b
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Question 173975: How do you simplify the fraction 3a+b/6a+2b
Click here to see answer by Mathtut(3670) About Me 

Question 174004: The difference of two integers is 9. Five times the smaller is 7 more than three times the larger. Find the numbers .
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Question 174001: The sum of two numbers is 15. Three times on of the numbers is 11 less than five times the other. Find the numbers .
Click here to see answer by nerdybill(6958) About Me 

Question 174015: The sum of two numbers is 15. three times one of the numbers is 11 less than five times the other. Find the numbers
Click here to see answer by Mathtut(3670) About Me 

Question 174024: During the last five races, jim's race car used an average of 15 gallons of gas per race. If his race car used a total of 51 gallons of gas during the first three races, what was the total number of gallons of gas used during the last two races?
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Question 174027: a rectangle is three times as long as it is wide. if its length and width are both decreased by 2cm, its area is decreased by 36cm squared. find its original dimensions.
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Question 174037: write an equation to model the situation. solve and check the reasonableness of your solution.
two students are going to the sandwich shop for lunch. they pay $1.25 for a soda and buy one whole turkey sandwich and one half turkey sandwich. the total bill is $9.50. what is the price of the whole sandwich?

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Question 174037: write an equation to model the situation. solve and check the reasonableness of your solution.
two students are going to the sandwich shop for lunch. they pay $1.25 for a soda and buy one whole turkey sandwich and one half turkey sandwich. the total bill is $9.50. what is the price of the whole sandwich?

Click here to see answer by Mathtut(3670) About Me 

Question 170376: Normal sea water is about 3.5% solids. This is about the same as saying "There are nearly 300 pounds of dissolved solid matter per thousand gallons of sea water" Using this information, find the weight of a gallon of sea water.

THANK YOU SO MUCH!

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Question 174033: A rectangle is three times as long as it is wide. If its lenght and width are both decreased by 2cm, its area is decreased by 36cm^2. Find its original dimensions. Make a sketch
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Question 174029: The lenght of a rectangle is twice the width. The perimeter is 84cm more than the width. Make a diagram and find the dimensions.
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Question 174081: How do you simplify by dividing x^3+2x^2+3x-6/x-1
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