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

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Question 585061: The office jet printer can copy Lisa's dissertation in 20 min. The Laser jet printer can copy the same document in 12 min. If the two machines work together, how long would they take to copy the dissertation?

Click here to see answer by richwmiller(9135)

Question 585003: The math team wants to buy new team t-shirts. Graphics by Andrew charges a $50 set-up fee and $8 per shirt. Team Andres charges a $40 set-up fee and $10 per shirt. How many shirts have to be ordered to make the costs the same from each company?
Click here to see answer by richwmiller(9135)

Question 585104: 37. Ten less than eight times a number is equal to the square of the number less thirty.
Click here to see answer by richwmiller(9135)

Question 585152: the wet well of a pump station is 6ft wide by 6ft long. with one pump running and discharging 280gpm, the wet well level was observed to rise 1ft in 3 minutes 15 second. what was the rate of flow into the well?
Click here to see answer by ankor@dixie-net.com(15652)

Question 585029: Judith invested $13,000 for 1year, part at 10% interest and part at 9% interest. If she earned a total of $1150 in interest, howyvh did she invest at each rate?
Click here to see answer by ankor@dixie-net.com(15652)

Question 585377: The averagge weekly allowance A of children varies directly as their gradelevel G. It is known that the average allowance of a 9th grade student is $9.66 per week. What is the average allowance of a 4th grade student?
Click here to see answer by jim_thompson5910(28595)

Question 585398: The time t required to drive a fixed distance varies inversely as the speed r. It takes 5 hrs at a speed of 80 km/h to drive a fixed distance. How long will it take to drive the same distance at a speed of 70 km/h?
Click here to see answer by stanbon(57347)

Question 585437: The weight W that a horizontal beam can support varies inversely as the length L of the beam. Suppose an 8 in beam can support 1200 kg. How many kilograms can a 14-m beam support?
Click here to see answer by Alan3354(30993)

Question 585615: At Charmaine's auto shop, it takes 10 minutes to do an oil change and 7 minutes to do a tire change. Charmaine has less than 2.5 hours (150 minutes) left to work before she has to leave for the day. Write an inequality that gives the number of oil changes, x , and the number of tire changes, y , that she can do before she leaves.
Click here to see answer by jim_thompson5910(28595)

Question 585879: The sum of 2 and 3 times the difference of a number and 5 is equal to 4 times the difference of a number and 1
Click here to see answer by Schaman_Dempster(26)

Question 585922: The regression equation is 7.25-0.021x. Find the predicted time in the 40-yard dash for a subject who can do 10 sit-ups.
Click here to see answer by jim_thompson5910(28595)

Question 586096: A baseball team played 143 complete games last season. They had 29 more wins than losses. How many games did the team lose?
Click here to see answer by algebrahouse.com(1079)

Question 586110: A high school graduating class is made up of 514 students. There are 108 more girls than boys. How many boys are in the class?
Click here to see answer by algebrahouse.com(1079)

Question 586118: An employee was paid 20,225 during the first half of last year. During the second half she was paid 88,734. How much more was her income during the second half?
Click here to see answer by algebrahouse.com(1079)

Question 586154: one number is twice another. If the larger number is m, how do you express the other number in terms of m?
Click here to see answer by rfer(12660)

Question 586250: Each song on a personal music player requires approximately 4 megabytes(MB)(4x10^6 bytes) of memory. If you purchase a personal music player with 80 gogabytes(GB)(6x10^10 bytes) of memory, aproximatley , how many song can you store on this player? Help, I have no clue how to set this up?! Thank you any help you can give!!
Click here to see answer by stanbon(57347)

Question 586322: you need to shovel 2000 pounds of sand today. if you already have 800 pounds done, how many pounds would you have to shovel per hour to finish in five hours
Click here to see answer by Alan3354(30993)

Question 586368: if one person is born every thirteen seconds how many people would be born in a year
Click here to see answer by richwmiller(9135)

Question 585859: A conservationist caught and tagged 86 trout. A person fishing caught 20 trout, 10 of which were tagged. How many fish can the conservationist expect to be in the lake?
Click here to see answer by KMST(1868)

Question 586549: You go to the doctor and he gives you 14 milligrams of radioactive dye. After 20 minutes, 4.25 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute.
Click here to see answer by stanbon(57347)

Question 586574: (1)The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced to a mass of 2 mg. What was the initial mass (in mg) of the sample?
What is the mass 4 weeks after the start?
(2)A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years.)
Your answer is how many years.
(3)At the beginning of an experiment, a scientist has 196 grams of radioactive goo. After 270 minutes, her sample has decayed to 3.0625 grams.
What is the half-life of the goo in minutes?
Find a formula for G(t), the amount of goo remaining at time t. G(t) =
How many grams of goo will remain after 38 minutes?

(4)The decibel level of a sound is given by dB = 10log(\frac{E}{E_0}), where E_0 = 10^{-12} \: \frac{\text{watts}}{m^2} and E is the intensity of the sound.
(a) Find the intensity of a 120-decibel sound.
E = watts per square meter.
(b) How many times more intense is the sound from (a) than a 60-decibel sound?
A sound at 120 decibels is times more intense than a sound at 60 decibels.

Click here to see answer by solver91311(16885)

Question 586751: Give an example of a quadratic equation that satisfies each given condition:
1.) Has two equal real-number solutions.
2.) Has two distinct real-number solutions.
3.) Has non-real-number solutions.
Once again, help greatly appreciated. Thanks! :)
Click here to see answer by ad_alta(240)

Question 586729: Good day once again!
Word Problem:
It takes 3 more hours for Nadine to finish a computer project than for her friend Sandra to do the same. Working together, they can finish the project in 2hours. How long will it take Nandine to do the project alone.
Click here to see answer by scott8148(6628)

Question 587248: fifteen more than four times a number is equal to the difference between 113 and three times the number.
Click here to see answer by stanbon(57347)

Question 587412: A Picture is 40 by 60 cm. there is a border going around the entire area. what is the width of the border??? plz answer in canadian format if poss, american format is wrong by my teacher.
Click here to see answer by stanbon(57347)

Question 587427: You have a bag of marbles. There are twice as many blue marbles as red marbles. There are 4 less green marbles than red marbles. If there are 28 marbles in the bag, how many of each marble is in the bag. Use the 5 step solution, please.
Click here to see answer by stanbon(57347)

Question 587446: On Monday, Mr. Toad bought 10 gourmet flies and 4 gourmet worms for $34. On Tuesday he bought 6 gourmet flies and 12 gourmet worms for $30. Find the price of a gourmet fly and the price of a gourmet worm. Use the 5 step solution with 2 variables, please
Click here to see answer by stanbon(57347)

Question 587424: For most flying creatures, the length of the wing varies inversely as the number of wingbeats per second. A dragonfly has a winglength of 1.6 inches and a wingspeed of 45 times per second. If a bee has a wingspeed of 200 beats per second, what is the length of a bee's wing?
Click here to see answer by ankor@dixie-net.com(15652)

Question 587636: A Paddleboat can move at the speed of 8km/hr in still water. The boat is paddled 10km downstream in the same time it takes to go 5km upstream. What is the speed of the river
Click here to see answer by mananth(12270)

Question 588102: A sample of cupcakes contains 124 pink ones with 3 white ones. How many white ones can you expect in a sample of 1270 total cupcakes?
Please show all steps
I get a decimal and believe it is incorrect, thank you for the assistance
Click here to see answer by stanbon(57347)

Question 588375: It takes 60 seconds to walk up a broken escalator and 40 seconds to ride up the same escalator when it is moving. How long will it take to walk up the same escalator when it is moving?
Click here to see answer by ankor@dixie-net.com(15652)

Question 588576: The resistance of a wire varies directly with its length and inversely with the square of its diameter. If 100 feet of wire with diameter 0.01 inch has a resistance of 90 ohms, what is the resistance of 68 feet of the same type of wire if its diameter is 0.02 inch?
Click here to see answer by Theo(3464)

Question 588797: jack usually mows the lawn in 3 hours. Sally mows the same yard in 4 hours. How much time would it take for them to mow the lawn together?
Click here to see answer by richwmiller(9135)

Question 588800: The speed of a passenger train is 16mph faster then the speed of a freight train. the passenger train travels 270 miles in the same time it takes the freight train to travel 190 miles. Find the speed of each train
Click here to see answer by richwmiller(9135)

Question 588867: A photograph is 8in by 10in.
A. Write an equation to find the amount x that should be added to the current length and width to double the area of the photograph.
B. Solve the equation.
C. What will the new dimensions be?
Thank you soo much if you answer this.
Click here to see answer by jim_thompson5910(28595)

Question 588735: The ABC Car Rental Company uses the function f(x)=26 for any daily use of a car up to and including 250 miles. For driving more than 250 miles per day, it uses the function g(x)=26+0.1(x-250) to determine the charges, where x is the number of miles driven. How much would the company charge for a daily driving of 110 miles?
Click here to see answer by KMST(1868)

Question 588931: I have 866 total hours to earn, 3279 feet to install. If I earn 101 hours, how much did I install?
Click here to see answer by rfer(12660)

Question 589026: The mass of a radioactive element at time x is given by the equation below, where c is the original mass and h is the half-life of the element. How old is a mummy that has lost 55% of its carbon-14 (its half-life is 5730 years)? (Round your answer to the nearest year.)
Formula given M(x)= c(.5^x/h)
Please help me solve this problem please.
Click here to see answer by ankor@dixie-net.com(15652)

Question 589407: What would be the area of a field 87 rods long and 206 and a half yards wide and what would it cost at 26.5 cents per square foot?
Click here to see answer by ankor@dixie-net.com(15652)

Question 589515: If the couple plans to have 2 boys and 5 girls, how many different gender sequences are possible? Please show work.
Click here to see answer by stanbon(57347)

Question 588892: Please show work because the answer I am coming up with is not correct.Please help me.
The terminal is 30ft down the 10-ft driveway and on the other side. A contractor charges $3/ft alongside the driveway and $4/ft for underneath the driveway.
a. What will it cost if the contractor runs the pipe entirely under the driveway along the diagonal of the 30-ft by 10ft rectangle.
b. What will it cost if the contractor runs the pipe 30ft alongside the driveway and the 10ft straight across?
c. The contractor claims that he can doo the job for $120 by going alongside the driveway for some distance and then going under the drive diagonally to the terminal.Find x, the distance along side the driveway.
d. Write the cost as a function fo x and sketch the graph of the function.
e. Use the minimum feature of a graphing calcutor to find the appropriate value for x that will minimize the cost.
f. What is the minimum cost (to the nearest cent)of which the job can be done.
Click here to see answer by KMST(1868)

Question 589726: One pipe fills a storage pool in 12 hours. A second pipe fills the same pool in 3 hours. When a third pipe is added and all three are used to fill the pool, it takes only 2 hours. Find how long it takes the third pipe to do the job.
I have trouble setting it up, but I know how to do it, please help!
Click here to see answer by ankor@dixie-net.com(15652)

Question 590097: i have a word problem that i need assisstance with, i am in an algebra level course.the word problem is below.
Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together they charged a total of $3950 . What was the rate charged per hour by each mechanic if the sum of the two rates was 225 per hour?

Click here to see answer by stanbon(57347)

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