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

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Question 563863: If x units of a product cost C dollars to manufacture and earn revenue of R dollars, the value of x where the expressions for C and R are equal are called the break-even quantity, the number of units that produce zero profit. Find the break-even quantity when C=15x+54000 and R=18x.
Thank you!
Click here to see answer by Theo(3464)

Question 564021: An artifact was found and tested for its carbon-14 content. If 84% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon-14 has half-life of 5,730 years.
_______ years?
Click here to see answer by stanbon(57395)

Question 564123: A class is making an 5 liter acid solution. This 40% solution is obtained by mixing a 20% solution and a 60% solution. How much of each do you use?
Click here to see answer by stanbon(57395)

Question 564291: Of the 700 tickets sold to a movie, 530 were full-priced tickets costing $6 each. If the gate receipts were $4030, what did a student ticket cost?
Click here to see answer by josmiceli(9697)

Question 564302: A ball is dropped from 30 meters. It bounces to 88 % of its previous height on each bounce. How high will the ball bounce on its 5th bounce?
Click here to see answer by josmiceli(9697)

Question 564312: (-1/3)^n (this is a fraction raised to an exponent). "n" must be..
positive
an even number
negative
an odd number
or n must be 0
I thought it was even, but I'm not sure.
Click here to see answer by josmiceli(9697)

Question 564306: A house was built in 1995 and it was valued at $225,000. Each year the house goes up 3%. What is the equation giving value of house x years after 1995, and how much will the house be in 2012?
Click here to see answer by josmiceli(9697)

Question 564383: An appliance store has a particular microwave oven on sale for $125. If this is a 15% reduction in price, what is the regular price of the microwave oven?
Click here to see answer by ad_alta(240)

Question 564381: if it takes 1/2 hour to clean 1/8 mile, how long will it take to clean 2.5 miles

Click here to see answer by ad_alta(240)

Question 564509: The OfficeJet Printer can copy Maria's dissertation in 22 minute. The LaserJet Printer can copy the same document in 16 minutes. If the two machines work together, how long would they take to copy the dissertation?
Click here to see answer by stanbon(57395)

Question 564611: I am having trouble with figuring out how to solve this word problem. Please help me...
In a recent year, the estimated earnings for Jennifer Lopez was $2.5 million more than half the earnings for the band U2. If the total earnings were $106 million, what were the earnings for Jennifer Lopez and U2?
Click here to see answer by rfer(12670)

Question 564705: Find, rounded to two decimal places, the solution(s) to the equation 0 = 3x3 - 2x2 - 4x + 7.

Click here to see answer by ad_alta(240)

Question 564907: Albert can mow a lawn in 40 minutes, while his cousin Vinnie can mow the same lawn in one hour. How long would it take to mow the lawn if Albert and Vinnie work together?
Click here to see answer by htmentor(789)

Question 564979: If Alexa can knit 15 rows in 22 minutes then how many full rows can she knit in 90 minutes?
Click here to see answer by issacodegard(60)

Question 565114: My daughter was given this math problem today and i would like to teach her how to do it....but don't know how!
Janet spent 100.00 on books. This was K dollars less than five times what she spent on lunch. How much did she spend on lunch?
What I got was: 5x-k=100
5x=100+k
x=100+k/5
But that does not give her an answer and she thinks I'm crazy!!!
Click here to see answer by KMST(1874)

Question 565294: What is the equation for the following statement,"One-half of a number decreased by 3 is 21."
Click here to see answer by mananth(12270)

Question 565450: My homework has a word problem that says: It takes 66 pounds of seed to completely plant a 7-acre field. How many pounds of seed are needed per acre?
Click here to see answer by nyc_function(2733)

Question 565488: Word problems give me a very hard time. Figuring out how to set up the problem is my biggest problem. Can u please help me.
The height of a box is 8inches. The length is three inches more thane the width. Find the width if the volume is 144.
Inches-8
Width-3(x)
Volume-144
So would it be : 3(x) + 8= 144?
Click here to see answer by scott8148(6628)

Question 565530: I am having a hard time with this word problem i know that it is D=R*T just can't set it up!! Here goes Cara can shovel the snow from her driveway in 25min.Therease can do the smae job in 30min. How long would it take cara and Teresa to shovel the driveway if they worked toghter?
Click here to see answer by stanbon(57395)

Question 565885: a coffee barista is mixing two types of coffee beans;el-cheapo coffee beans ( $2 per pound) and premium star-buckaroo coffee beans ($8 per pound) she has 12 pounds of star-buckaroo coffee beans and wishes to mix in a quantity of el-cheapo coffee beans to get a blend that can be sold for $6 per pound.
How many pounds of el-ceapo coffee should be used to create the mixture?
Click here to see answer by mananth(12270)

Question 565962: A piece of wire 100 cm long is to be cut into two pieces, each to be bent to make a square. The length of a side of one square is to be twice the length of a side of the other. How should the wire be cut? I am having trouble finding the right equation to express this problem. I know its simple but I cant wrap my head around it...Can you help?
Click here to see answer by lwsshak3(6522)

Question 566146: The half-life of 234U, uranium-234x10to the 5th power year. If 98.1% of the uranium in the original sample is present, what length of time(to the nearest thousand years has elapsed?
Click here to see answer by ankor@dixie-net.com(15660)

Question 566204: How many revolutions will a car wheel of diameter 24 in. make as the car travels a distance of one mile? (Round your answer to the nearest whole number.)
Click here to see answer by lwsshak3(6522)

Question 566223: A truck with 48-in.-diameter wheels is traveling at 45 mi/h.
(a) Find the angular speed of the wheels in rad/min.
rad/min
(b) How many revolutions per minute do the wheels make?
rev/min
Click here to see answer by Alan3354(30993)

Question 566228: A painter paints a wall in x hours, so the fraction of the wall that she paints in 7 hours is?
Click here to see answer by jim_thompson5910(28598)

Question 566222: The Greek mathematician Eratosthenes (ca. 276-195 B.C.) measured the circumference of the earth from the following observations. He noticed that on a certain day the sun shone directly down a deep well in Syene (modern Aswan). At the same time in Alexandria, 500 miles north (on the same meridian), the rays of the sun shone at an angle of 7.2° to the zenith. Use this information and the figure to find the radius of the earth. (Round your answer to the nearest ten miles.)

Use this information and the figure to find the circumference of the earth.
Click here to see answer by scott8148(6628)

Question 566231: The Greek mathematician Eratosthenes (ca. 276-195 B.C.) measured the circumference of the earth from the following observations. He noticed that on a certain day the sun shone directly down a deep well in Syene (modern Aswan). At the same time in Alexandria, 500 miles north (on the same meridian), the rays of the sun shone at an angle of 7.2° to the zenith. Use this information and the figure to find the radius of the earth. (Round your answer to the nearest ten miles.)
mi
Use this information and the figure to find the circumference of the earth.
mi
Click here to see answer by scott8148(6628)

Question 566414: How do you solve this:
Jo paints a room in 5 hours. Mo paints a room in 3 hours. If they paint together, how long will it take to finish painting the room?
Click here to see answer by mananth(12270)

Question 566545: Tickets for the father and son breakfast were 2 dollars for fathers and 1.50 dollars for sons. If a total of of 75 tickets were sold for 127.50 dollars, how many fathers and how many sons attended the breakfast?

Click here to see answer by stanbon(57395)

Question 566558: Jonathon bought a pair of running shoes at 25% off and paid $69. What was the original price of the shoes? Please show all work.
Click here to see answer by stanbon(57395)

Question 566721: carter swam a distance of 7,920 feet during swim practice how many yards did he swim
Click here to see answer by TutorDelphia(193)

Question 566769: Traveling at an average speed of 60 miles per hour can give better gas mileage than traveling at higher speeds. Suppose you drive from one town to another and want to average 60 miles per hour for the trip. Road construction on the way there reduces your average speed to 30 miles per hour. If you drive 90 miles per hour on the return trip, what is your average speed for the entire trip?
I dont think there is enough information for this.
Click here to see answer by scott8148(6628)

Question 566837: This problem deals with Linear and Compound inequalities.
We are using the 5-steps for problem solving.
Jennifer is shopping for a new car. In addition to the price of the car, there is an 8% sales tax and a $172.00 title and license fee. If Jennifer decides that she will spend less than $10,000 total, then what is the price range for the car?

Thank you!!
Click here to see answer by lwsshak3(6522)

Question 566889: Hello, I need help with this question. It says: "After Valerie is seated in a restaurant, she realizes that she only has $20. If she must pay 7% sales tax and wishes to leave a 15% tip on the total bill (meal plus tax) what is the maximum price of lunch she can order?" I've tried several ways to solve this, but never get the right answer. I've tried to add .15 to .07 and equal it to 20 for example
Click here to see answer by 505Zephyr(1)

Question 566995: John, Paul, George, and Stuart were four school friends. After one particularly hard day's night, they went to see a movie together. After the first time, they began going regularly but on different schedules. (They even went on weekends.) John went every fourth day, Paul went every fifth day, George went every seventh day, and Stuart went every ninth day. How many days was it before all four went to the movies together again?
Click here to see answer by stanbon(57395)

Question 566914: John, Paul, George, and Stuart were four school friends. After one particularly hard day's night, they went to see a movie together. After the first time, they began going regularly but on different schedules. (They even went on weekends.) John went every fourth day, Paul went every fifth day, George went every seventh day, and Stuart went every ninth day. How many days was it before all four went to the movies together again?
Thanks
Click here to see answer by ankor@dixie-net.com(15660)

Question 567191: Things did not go quite as planned. You invested $10,250.00, part of it in stock that paid 12.5% annual interest. However, the rest of the money suffered a 6.7% loss. If the total annual income from both investments was $346.00, how much was invested at each rate?
Click here to see answer by stanbon(57395)

Question 566955: Explain how you know a triangle can have side lengths measuring 11,
15 and 21.
Click here to see answer by richard1234(5390)

Question 567233: train A travels 20mph slowr than Train B. It takes Train A 30min. longer than train B to travel 200 miles.
how long does it take train A to make the 200mile trip? how long does it take train B to travel 535 miles??
Click here to see answer by mananth(12270)

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