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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 165669: Phuong Dan's car averages 8 more miles per gallon on the highway than it does in city driving. Last week he drove 160 highway miles and 180 city miles and used 12.5 gallons of gas. How many miles per gallon does the car get in city driving?
Click here to see answer by Mathtut(3670)

Question 165668: A laser printer can print a page in 15 s. If a 16-page document is split between this printer and an older model, the two printers take 50 s to print the document, working together. How many seconds does it take the older model to print a page?
Click here to see answer by kev82(151)

Question 165848: the length of a football field is 67 yards greater than the width. the perimeter of the field is 346 yards. find the length and width of the football field.
Click here to see answer by checkley77(12844)

Question 165776: This has to do with direct, indirect, and joint variation. Sorry but I couldn't find it anywhere and I need help desparately!
Here are the problems:
1. If y varies directly with x, and y=10 when x=15, find y when x=6.
2. If x varies inversely as y and x=2 when y=8, find x when y=17.
3. If y varies directly as x and inversely as z^2, and y=3 when x=2 and z=4, what is the value of x when y=9 and z=4?
Thanks a bunch for any help!!
Joanne
Click here to see answer by Mathtut(3670)

Question 165860: I have been struggling on this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Factoring Polynomials
Factor each polynomial
(p+q)^3-(p-q)^3
Click here to see answer by Earlsdon(6294)

Question 165857: I have been struggling on this math problem and I was wondering if someone could help me? Please and Thank You!! I would deeply appreciate it!!
Factoring Polynomials
Factor each polynomial
u^2-v^2-2u-2v
Click here to see answer by Earlsdon(6294)

Question 165855: 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!!
Factoring Polynomials
Factor each polynomial
64-z^6
Click here to see answer by tutorcecilia(2152)

Question 165854: 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!!
Factoring Polynomials
Factor each polynomial
x^6-y^6
Click here to see answer by tutorcecilia(2152)

Question 165941: There are 7 people in a bus.
Each person has 7 backpacks.
In each backpack, there is 7 cats.
Each cat is accompanied by 7 kittens.
Questions: How many paws (are) there on the bus.
Click here to see answer by checkley77(12844)

Question 165953: Irene wants a part time job.One employer offers $8.10 an hour. Another employer offers 6.75 per hour plus a 45 starting bonus. Find out how many hours Irene would have to work to earn the same amount at each job
Click here to see answer by oscargut(2103)

Question 166111: IF THE LOCAL LUNCH SHOP OFFERS CHICKEN TUNA AND VEGETABLE SANDWICHES ON PLAIN, ONION, OR GARLIC BAGELS, HOW MANY POSSIBLE SANDWICHES CAN BE SERVED?
Click here to see answer by stanbon(75887)

Question 166045: It takes susan 6 hrs to paint her room if she works alone and it takes jill 4 hours to paint the same room if she works alone. How long will it take them to paint the room if they work together? Please show how to work this problem. I cannot figure out the formula.
Thank you.
Click here to see answer by checkley77(12844)

Question 166114: An astronaut on the moon tosses a ball upward; by how much will the height of the ball exceed 100 feet if the ball's height follows: h(t)=-2.6t^2+32.1t+5.5
Click here to see answer by stanbon(75887)

Question 166108: What is the probability of rolling a 4 on a die?
Click here to see answer by checkley77(12844)

Question 166112: THE TIME REQUIRED TO EMPTY A TANK VARIES INVERSELY AS THE RATE OF PUMPING. IF A PUMP CAN EMPTY A TANK IN 45 MINUTES AT THE RATE OF 600 GALLONS PER MINUTE, HOW LONG WILL IT TAKE THE PUMP TO EMPTY THE SAME TANK AT THE RATE OF 1000 GALLONS PER MINUTE?
Click here to see answer by midwood_trail(310)

Question 166123: one-third of a number is 5 less than half of the same number. what is the number?
Click here to see answer by checkley77(12844)

Question 166124: the sum of a number and its reciprocal is 10/3. What is the number?
Click here to see answer by checkley77(12844)

Question 166193: How many grams of a 25% antibiotic solution should be added to 10 grams of a 60% antibiotic solution in order to get a 30% antibiotic solution?
Click here to see answer by checkley77(12844)

Question 166104: If I drive 80km at 20kmph and then 60km at 30 kmph how fast must I drive the remaining 40 km, in kilometers per hour, to average 22.5 kmph for the entire trip?
Click here to see answer by Mathtut(3670)

Question 166232: If y varies inversely as x^2 and y=2 when x=4, what is the constant of variation?
Click here to see answer by Mathtut(3670)

Question 166229: Write an equation for the line with slope 1/3 and y-intercept4
Click here to see answer by Mathtut(3670)

Question 166246: A rancher bought some calves for $170. "Jet Age" rustlers stole 6 of them. Four months later, the rancher sold the remaining calves for $240 each. He paid a feed bill of $400 and still made a profit of $4110. How many calves did he buy?
Click here to see answer by Mathtut(3670)

Question 166231: The amount of money that a salesperson makes varies directly as the total amount of sales made. If the salesperson receives $7,500 for selling a house for $120,000, how much will he or she make if he or she sells a house for 150,000.
Click here to see answer by checkley77(12844)

Question 166261: X is Xavier�s age, Y is Yvette�s age, and Z is Zevon�s age. Yvette is twice as old as Xavier. If Zevon�s age is increased by 10 he will be as old as Yvette. Write an equation that shows Zevon�s age (Z) only in terms of Xavier�s age (X).
I am having difficulty figuring this out so far I came up with Z = 2X + 10. Can someone please help. Thank you
Click here to see answer by stanbon(75887)

Question 166267: Your friend is buying candy for his sweetie for Valentine�s Day. He decides to buy chocolate-covered almonds, peanut butter cups, and toffee crunch. The chocolate-covered almonds cost $4.50 per pound, the peanut butter cups are $1.50 per pound (he got those at Walmart), and the toffee crunch costs $3.75 per pound. Your friend decides three things:
1. He is going to spend $35.
2. He is going to get his sweetie 12 pounds of candy.
3. He is going to buy 3 more pounds of peanut butter cups than chocolate almonds.
If a, p, and t represent the weights of almonds, peanut butter cups, and toffee (respectively), write three equations based on your friend�s three decisions above�.do not solve!

Click here to see answer by Mathtut(3670)

Question 166409: Let's say that the average egg has a mass of 45 g. What mass would a mole of eggs have?
Click here to see answer by Fombitz(32388)

Question 166429: A cyclist traveled at a rate of 32 mph to visit a nearby town. They cyclist averaged 10 mph on the return trip. If the round trip took 6.3 hours, find the distance to the nearby town.
Click here to see answer by Mathtut(3670)

Question 166428: A stamp collection consist of 3,8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is $2.47. Find the number of 8 cent stamps in the collection.
Click here to see answer by Mathtut(3670)

Question 166432: Golden Painting. An artist wants her painting to be in the shape of a golden rectangle. If the length of the painting is 36 inches, then what should be the width? L/W = W/L-W
Click here to see answer by gonzo(654)

Question 166505: Mrs. Nelson is on the refreshment committee for the annual school dance. She need to buy paper plates, napkins, and paper cups for the dance. The plates come in package of 24, the napkins in package of 20, and the paper cups in package of 16.
A. What is the least number of package she needs to buy in order to have the same number of each item? How many of each item will she have?
B. About 360 students have said that they will attend the dance. If Mrs. Nelson buys the number of items from part (a), will she have enough for one for each student? If not, how many more packages of each item will she need to buy? Will she have any item left over?
**Please help, I have been working at this problem all weekend**
Click here to see answer by jim_thompson5910(35256)

Question 166507: brice left home and ran to school at 10 mi/hr. he ran back at 8 mi/hr. the entire trip took 27 min. How far did he run? Make a chart
Click here to see answer by jim_thompson5910(35256)

Question 166433: 84.)Gone Fishing. Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4 - mph current, it took her 20 minutes longer to get there than to return. how fast will her boat go in still water?
Click here to see answer by Alan3354(69443)

Question 166641: a number is divided by 3 and then the quotient is added to 18 the result is 25
Click here to see answer by jim_thompson5910(35256)

Question 166650: I have these questions below that I feel would have the same type of set up, however, I feel like I do not know where to start. I was trying to help someone and I did not know where to begin. Please help!!! And thank you in advance!
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 togehter to mix the 20 drinks?
Jim can fill apool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 1/2 hours. How quickly can all three fill the pool together?
If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa and Tom work together to complete it?
Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after teh first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?
Click here to see answer by oscargut(2103)

Question 166668: Write an equation for the line going through the points (3,2) and (-2,4)
Click here to see answer by Alan3354(69443)

Question 166678: When the digits of a two-digit number are reversed, the new nwmber is 9 more than the original number, and the sum of the digits of the original number is 11.What is the original number?
Click here to see answer by ankor@dixie-net.com(22740)

Question 166801: In Basketball, a free throw is 1 point and a field goal is either 2 or 3 points. In a recent season, Tim Duncan of the San Antonio Spurs scored a total of 1342 points. The total number of 2-point field goals and 3-point field goals was 517, and he made 305 of 455 free throws that he attempted. Find the number of 2-point field goals and 3-point field goals Duncan made that season.
Click here to see answer by josmiceli(19441)

Question 166873: A family is moving and has a number of electronic devices in the same packing crate. One of the devices beepes every 8 minutes, another beeps every 10 minutes and a third beeps every 12 minutes. If all the devices beeped together at 3pm, what time will it be when the all beep together again?
Click here to see answer by stanbon(75887)

Question 166928: 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!!
Solving Polynomial Equations.
Solve. Identify all multiple roots.
(x^2-3)^2+(x^2-3)-2=0
Click here to see answer by stanbon(75887)

Question 166738: a pedestrian is three eights of the way across the a train bridge when he hears a train coming! If he runs as fast as possible back toward the train, he will get off just in in time to aviod a collision. Also, if he runs as fast as possible away from the train, he will get off the bridge (on the other side) just in time to aviod a collision.
If the train is traveling at 60 miles per hour. How fast does the person run?
Click here to see answer by ankor@dixie-net.com(22740)

Question 166953: I am thinking of a number that, when you multiply it by 9, it is the same as adding 8 to 7 times the number. What is the number?
Click here to see answer by nerdybill(7384)

Question 166927: 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!!
Solving Polynomial Equations.
Solve. Identify all multiple roots.
(x^2-3x+2)^3=0
Click here to see answer by nerdybill(7384)

Question 166899: The Eiffel Tower is 497 feet taller than the washington monument. If each where 58 feet shorter, the eiffel tower would be twice as tall. how tall is each monument?
Click here to see answer by josmiceli(19441)

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