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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 263955: The percentage of adult smokers in the U.S. is declining each year. If t represents the number of years since 1997, then
P(t) = -0.51t + 24.675
represents the corresponding percentage of adults who smoked cigarettes during that year.
Write an inequality that can be used to determine the first year in which the percentage of adult smokers falls below 15%.

Solve the inequality in part a using an algebraic as well as a graphical approach.

Click here to see answer by stanbon(57387)

Question 263997: Buying a Home:
The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #2. Write an equation that illustrates the situation.
Click here to see answer by joyceapril(1)

Question 264018: You contacted two local rental companies and obtained the following information for the one-day cost of renting a truck.
Company 1 charges $40.95 per day plus $0.19 per mile, and company 2 charges $19.95 per day plus $0.49 per mile.
Let n represent the total number of miles driving in 1 day.
Write an equation to determine the total cost of renting a truck for a day from company 1.

Write an equation to determine the total cost of renting a truck for a day from company 2.

Use the results in parts a and b to write an inequality that can be used to determine for what number of miles it is less expensive to rent the truck from company 2.

Solve the inequality in part c.

Click here to see answer by stanbon(57387)

Question 264037: Inside a barn are lambs and people. If we count 30 heads and 104 legs in the barn, how many lambs and how many people do we have in the barn?
Click here to see answer by josmiceli(9697)

Question 264088: The width of the soccer field recommended for players under the age of 12 is
35 yd less than the length. The perimeter of the field is 330 yd. Find the dimensions of the field.
Click here to see answer by checkley77(12569)

Question 264071: As consumers fill electronic devices with digital photos and music, storage needs for digital data are soaring. It is estimated that the amount of digital data stored on various devices in a typical U.S. household in 2010 will be 4430 gigabytes (GB). This is 4024 GB more than the amount of data stored in 2004. Find the amount of digital data stored on various devices in a typical household in 2004.
Click here to see answer by checkley77(12569)

Question 264156: From a survey of 600 college students, a marketing research company found that 400 students owned stereos, 200 owned cars, and 75 owned both cars and stereos.
(a) How many students owned either a car or a stereo (but not both)?
(b) How many students do not own either a car or a stereo?

Click here to see answer by checkley77(12569)

Question 264216: One number is five more than three times a small one. If four times the larger number is subtracted from twice the smaller one, the result is zero. Find each of the numbers.
Click here to see answer by dabanfield(803)

Question 263906: s^2 = t^-1 and t^1/4 = u^-1/3, then what is the value of s in terms of u?
Click here to see answer by ankor@dixie-net.com(15660)

Question 264329: A rock falls from a tower that is 73.5 m high. As it is falling, its height is given by the formula with t in seconds. How many seconds will it take for the rock to hit the ground (h = 0)?
Click here to see answer by mananth(12270)

Question 264383: A class of 30 music students includes 13 who play the piano, 16 who play
the guitar, and 5 who play both piano and guitar. How many students in the class play neither instrument?
Click here to see answer by Edwin McCravy(8911)

Question 264404: The mean age of the 6 women in a class is 23. The mean age of the 10 men in the same class is 26. What is the mean age of the 16 students in the class?
Click here to see answer by mananth(12270)

Question 264497: if a 150 lb person weighs 55 pounds on mars,about how much does a 7000 lb satellite weigh? round your answer to the nearest pound. i have 2566 is this correct?
Click here to see answer by Earlsdon(6287)

Question 264494: please tell me if this is correct. solve the proportion:2/11= 24/3x-4 i have 66 is this correct?
Click here to see answer by Alan3354(30993)

Question 264556: Susan can paint a room in 6 hours. John can paint the same room in 9 hours. How much time will it take for them to paint the room working together?
Click here to see answer by checkley77(12569)

Question 264743: Jamal bought widgets at $2.50 a piece. He sold them each at a $0.75 profit. If he wants to make at least $300 on his sales, what is the minimum number of widgets he must sell?
Click here to see answer by josmiceli(9697)

Question 264870: The number of points on a circle that are equidistant from the endpoints of a
given diameter is:
(A) 1 (B) 2 (C) 3 D) 4 (E) 5
Click here to see answer by Theo(3464)

Question 264870: The number of points on a circle that are equidistant from the endpoints of a
given diameter is:
(A) 1 (B) 2 (C) 3 D) 4 (E) 5
Click here to see answer by JBarnum(2044)

Question 264815: If a walkway can be made from either 18 ft long boards or 14 ft long boards without anyone needing to be cut, then what is the shortest possible length of the walkway?
How long is the walkway if you know that 16 fewer boards are needed if the 18 ft long boards are used?
Click here to see answer by Theo(3464)

Question 264917: In the ninth-grade class, each of 130 students attends exactly one of the five English classes. Each class has fewer than 30 students. What is the least possible number of students in any one of these five classes?
A. 10 B.14 C.20 D.23 E.26

Click here to see answer by checkley77(12569)

Question 264951: Cell Phone Service Sprint PCS offers a monthly cellular phone plan for 35$. It includes 300 anytime minutes and charges $0.40 per minute for additional minutes. The following function is used to compute the montly cost for a subscriber.
It gives you the function

C(X)={ 35 if 0 is greater than X and less than or equal to 300
{0.40x-85 if x is greater than 300
my teacher wants to know why you have to minus 0.40x by 85?
Click here to see answer by stanbon(57387)

Question 265131: Hello here is a word problem i can not figure out called It's in a Box!:
There are two boxes; one marked A and one Marked B. Each box contains either 1 million dollars or a deadly snake that will kill you instantly. You must open one box. On box A a sign reads 'At least one of these boxes contains 1 million dollars" and on box B there is a sign that reads "A deadly snake that will kill you instantly in box A". You are told either both signs are true or both are false. Which box do you open?
I would guess the 1 million is in box B because the sign is attempting to mislead the person.
Click here to see answer by jim_thompson5910(28598)

Question 265133: Jo needs an 85% average on her five math tests. She earned 99%, 85%, 79%, and 88% on her first four tests. What score must she earn on her fifth test in order to have an average of exactly 85% for all five tests?
Click here to see answer by rfer(12670)

Question 265212: A student needs an average of 70 or more to pass a course. He scored 82, 80, and 87 on the first three exams. Write an inequality representing the score she must get on the last test to receive credit for the course.
Help! I can't figure this out.
Click here to see answer by stanbon(57387)

Question 265215: The number of people infected after t days is P=200+5t-t^2. Find the number of days until the number of people infected is 150.
Any help would be really appreciated.
Click here to see answer by checkley77(12569)

Question 265136: I have trouble with word problems,I don't know where to begin. The problem is Plastics Unlimited plans to produce a one component vertical file by bending the long side of an 8-in. by 14-in. sheet of plastic along two lines to form a U shape.
A. Express the volume of the file as a function of the height x, in inches, of the file.
B. Find the domain of the function.
Thank You for your help.
Click here to see answer by ankor@dixie-net.com(15660)

Question 265207: The profit on a watch is given by P=x^2-5x-9 and where x is the number of watches sold per day. How many watches were sold on a day when there was a $15 loss.
Any help with this question would be appreciated. Thanks.
Click here to see answer by checkley77(12569)

Question 265358: A single die is rolled two times. What is the probability that the next roll will produce a number less than 3?
Click here to see answer by stanbon(57387)

Question 265361: Coen's test scores were 80,90,70. What was his weighted average if the tests were weighted 1,2,5, and , respectively?
Click here to see answer by stanbon(57387)

Question 265455: How many more cents per item is “3 items for $10” than “2 items for $5?” Express your answer to the nearest whole number.
Click here to see answer by richwmiller(9143)

Question 265453: I have two one-quart jars; the first is filled with water, and the second is empty. I pour half of the water in the first jar into the second, then a third of the water in the second jar into the first, then a fourth of the water in the first jar into the second, then a fifth of the water in the second jar into the first, and so on. How much water is in the first jar after the 10th pour? Express your answer as a common fraction.

Click here to see answer by richwmiller(9143)

Question 265484: A pyramid has a volume of 1875 ft cubed. Its base is a square that is 15 ft on each side. What is the height of the pyramid?
Click here to see answer by Earlsdon(6287)

Question 265745: If you have 5 types of flowers (roses, lilacs, lillys, daffodils and tulips), and your business model is to sell them prepackaged in vases. Each vase must contain 3 different types of flowers (no repeats). How many combinations can you acheive?
Click here to see answer by solver91311(16897)

Question 265418: If the value of 1/t-1 is twice the value of 1/t+2 , what is the value of t ?
Click here to see answer by ankor@dixie-net.com(15660)

Question 265826: A ball is thrown upward with an initial velocity of 32 ft/s from a height 768 ft. h=-16t^2+32t+768. After how many seconds will the ball reach the ground?
Click here to see answer by stanbon(57387)

Question 265829: A 25-ft by 35-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area o the walkway is 396ft^2, how wide is the walkway?
Click here to see answer by mananth(12270)

Question 265920: My entire nickel and dime collection is housed in my cardboard box collection, which consists of exactly 24 boxes. 13 of the boxes contain nickels, 8 contain dimes and 5 contain both nickels and dimes. How many of the boxes contain neither
nickels or dimes?
Click here to see answer by Edwin McCravy(8911)

Question 265931: Mom turned 90 on Friday, June 2, 2006. On what day of the week was she born?
A.Sunday B.Monday C.Thursday D.Friday E.Saturday

Click here to see answer by CharlesG2(828)

Question 265919: From a group of green monkeys, 10 females leave. At this point there are 3 males for every female. Then 25 males leave, at which point there are two males for every female. How many females were there originally?
Click here to see answer by ptaylor(2048)

Question 266274: An objects altitude in meters is given by the polynomial h+vt-9.8t^2, where h is the height in meters from which the launce occurs, v is the initial upward speed in meters per second, and t is the number of seconds for which the rocket is airborne. A pebble is shot upward from the top of a building 190 m tall. If the initial speed is 40 m/sec, how high above the ground will th pebble be after 2 seconds? Round result to the nearest tenth of a meter.
Click here to see answer by Alan3354(30993)

Question 266267: An escalator moves up at a rate of x steps per second. Walter walks up the
escalator at the rate of one step per second and reaches the top in twenty seconds.The next day Walter’s rate was two steps per second, and he reached the top in sixteen seconds. How many steps does the escalator have?
(A) 40 (B) 50 (C) 60
(D) 80 (E) none of these

Click here to see answer by stanbon(57387)

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