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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 230793: A computer can do one calculation in 1.4 X 10^-7 seconds. How long would it take the computer to do a trillion (10^12) calculations? (Round to one decimal point)Express answer in scientific notation.
Click here to see answer by stanbon(57347)

Question 230795: The area of a circle is 35 square meters. What is its circumference? (Use Pi = 3.14 and the Area of a Circle & the Circumference of a Circle)
Click here to see answer by checkley77(12569)

Question 230772: Beth scored 78 on a test that had 4 seven-point short answer and 24 three-point
multiple-choice questions. She had one wrong short answer. How many multiple choice questions did she get right?
Click here to see answer by rfer(12660)

Question 230796: For a holiday party, Marcus is making a 5 layer torte, which consists of 5 9-inch diameter cale layers with a cream topping on each layer. He knows that one recipe of cream will cover 60 square inches of cake. How many batches of the topping must he make to complete his torte? (Use Pi = 3.14 as an approximate value)
Click here to see answer by rfer(12660)

Question 230920: The length of a new rectangular playing field is 2 yards longer than double the width. if the perimeter of the rectangular playing field is 268 yards, what are it dimensions?
Click here to see answer by rfer(12660)

Question 231056: Hello,
I always have trouble with word problems and I just want to make sure that I am doing this one correctly:
Eight horses are entered into a race. In how many ways can they cross the finish line, if ties are not allowed?
is it: 8*8*8*8*8*8*8*8 (8^8)
thank you for your help,
Peter
Click here to see answer by Theo(3464)

Question 231055: Hello,
Can you please help me figure out the following problem:
A total of 37,451 Ph.D.’s were awarded in 1991. Out of the 1164 Ph.D.’s in business and management, 292 were earned by women. Women earned 13,782 Ph.D.’s. How many men earned Ph. D’s in business and management?
I think the answer is 872. But I might be wrong. I have been up all night working on math and I'm getting a little fuzzy:)
Thank you,
Peter
Click here to see answer by Theo(3464)

Question 231087: factoring
N(t) = -3t^3 + 23t^2 + 8t

and

V(s) = s^3 -13s^2 + 54s - 72
Click here to see answer by Alan3354(30993)

Question 231135: how far from the base of the building must a 26 foot ladder be placed so that it reaches 10 feet up the wall
Click here to see answer by user_dude2008(1861)

Question 231172: a group of friends went out to dinner and had a bill that totaled $288. WHen it came time to split the total cost of the bill equally, each person who was left (2 people left early) had to pay an extra $4.80 on top of their own part to cover the price of the two missing people. How many people were in the original dinner group?
Click here to see answer by stanbon(57347)

Question 231207: How many pounds of Coffee beans selling for $5 a pound should be mixed with 6 pounds of Coffee beans selling for $8 a pound to get a mix selling at $6.80 a pound?
Click here to see answer by checkley77(12569)

Question 231321: the booster club is creating buttons for sale at games. The machine to make the buttons cost $45. The material to make each button is .20. The buttons will be sold for $1 each. How many buttons must be sold to make a profit of at least $100.
Click here to see answer by rfer(12660)

Question 231428: An automobile manufacturer can produce up to 300 cars per day. The profit made from the sale of these vehicles can be modeled by the function Where P(x) is the profit in dollars and x is the number of automobiles made and sold. How many cars should be made and sold to maximize profits.
Click here to see answer by Theo(3464)

Question 231458: Twenty-seven congruent cubes are glued together to form a larger cube. All six faces of the larger cube are painted pink. What is the product of the number of small cubes that have a single pink face and the number of small cubes that have three pink faces?
Click here to see answer by Theo(3464)

Question 231484: 6.8 #17
Can someone please walk me through this?
Before a football game, a coin toss is used to determine which team will kick off. The height h (in feet) of a coin above the ground t seconds after being flipped up into the air is given by the following equation.
h = -16t2 + 22t + 20.
How long does a team captain have to call heads or tails if it must be done while the coin is in the air?
____ seconds
Thank you,
Alan
Click here to see answer by Alan3354(30993)

Question 231486: 7.2 #20
I know this seems simple but I just cannot get this to come out right.
Use the information that follows to determine the miles per fluid ounce of gasoline for city and for highway driving for the Dodge Dakota Pickup. (Hint: 1 gallon = 128 fluid ounces.)
2007 Dodge Dakota Pickup
Fuel Economy
Fuel Type Regular
MPG (city) 16
MPG (highway) 20
_____mile per ounce (City)
_____mile per ounce (Highway)
Please walk me through it.
Thank you,
Alan
Click here to see answer by Theo(3464)

Question 231501: an engine pulls a train 140 miles. then a second engine, whose average rate is 5 miles per hour faster than the first engine, takes over and pulls the train 200 miles. The total time required for both engines is 9 hours. Find the average rate of each engine.
Click here to see answer by josmiceli(9680)

Question 231060: An elevator went from the bottom to the top of a tower at an average speed of 4m/s, remained at the top for 90 s, and then returned to the bottom at 5 m/s. If the total elapsed was 4.5 min, how high is the tower?
Click here to see answer by ankor@dixie-net.com(15652)

Question 231502: environmentalists have determined that 15% of squirrels in a given area are grey in color. if 120 squirrels are caught and relocated, approximately how many would you except to be grey ?
Click here to see answer by rfer(12660)

Question 231483: 6.8 #5
Can someone please help me with this problem?
Suppose you are an elementary school teacher. You want to order a rectangular bulletin board to mount on a classroom wall that has an area of 40 square feet. Fire code requirements allow for no more than 30% of a classroom wall to be covered by a bulletin board. If the length of the board to be three times as long as the width, what are the dimensions of the largest bulletin board that meets fire code?
width =
length =
Thank you,
Alan
Click here to see answer by solver91311(16885)

Question 231604: a box with height (x+5) cm has a square base with side x cm. a secong box with height (x+2) cm has a aquare base with side (x+1) cm. if the two boxes have the same volume, find the x value
Click here to see answer by solver91311(16885)

Question 231627: one number is four more than another. Their product is 77. find the numbers.
Click here to see answer by solver91311(16885)

Question 231639: write an equation in standard form that you can solve by factoring and one that you cannot solve by factoring.
Click here to see answer by solver91311(16885)

Question 231810: A Colorado road has slope of 0.15. How many feet does it rise vertically over a horizontal distance of 600 feet?
Click here to see answer by rfer(12660)

Question 231894: A particular paint requires 1 gallon to cover 125 square feet of metal roof. If the roof is 89 feet by 46 feet, how much paint will be required?
Please help...
Click here to see answer by checkley77(12569)

Question 231955: Two friends rent an apartment for $975 per month. Since one bedroom is 60 square feet larger than the other bedroom, each person’s rent contribution is based on bedroom size. Each person agrees to pay $3.25 per square foot of bedroom area. What is the size of the larger bedroom
Click here to see answer by rfer(12660)

Question 232044: A 25-inch piece of string is to be cut in two pieces so that the longer piece is four times the shorter piece. Find the length of each piece.
I want to know how to write and equation for this type of problem so that it will be easier to solve. Please help. Thanks ♥
Click here to see answer by stanbon(57347)

Question 232152: Six times the sum of a number and 15 is 99 more than three times the number. what is the number?
Click here to see answer by checkley77(12569)

Question 232259: Mark had a board 25 1/2 inches long which he cut into 10 pieces. How long would the board be if it had 17 pieces of the same thickness?
a. 42 7/20 inches
b. 43 7/20 inches
c. 45 7/20 inches
d. 41 7/20 inches
I worked this one also and came up with Letter "A"
Please help...
Click here to see answer by Alan3354(30993)

Question 232261: Thank you in advance for your help and your time. I have tried this and it does work out, but I cannot figure out why! Can you explain?
Think of a number.
Add 7.
Double the result.
Subtract 8.
Double the result.
Add 12.
Divide by 4.
Subtract 6.
Your answer will be the original number. Explain how this trick works.

Click here to see answer by stanbon(57347)

Question 232325: Robin just graduated from college and has taken her first job. She is working for a computer sales company. Her earnings consist of a monthly salary of $1300.00, plus 6% of all her sales. To meet her monthly obligations she wants to earn at least $2800.00 per month. What is the amount of sales she must make monthly to meet her goal? I must solve this using an inequality. Thank you so much!
Click here to see answer by rfer(12660)

Question 232385: It's been estimated that if you consume an extra 3500 calories, you will gain 1 pound of a fat. One can of soda contains 40 grams of sugar. Sugar has 4 calories per gram.If a person drinks a six-pack of soda everyday, how many pounds will he or she gain?
Click here to see answer by rapaljer(4667)

Question 232449: How far will a ball travel horizontally before hitting the ground, if the ball is thrown from a 300ft tower, parallel to the ground at 95mph?
Click here to see answer by Alan3354(30993)

Question 232558: the difference of four times a number and seven times the same number is 9
How do i write this
Click here to see answer by rfer(12660)

Question 232623: A fourth grade class decides to enclose a rectangular garden using the side of the school as one side of the rectangle. Suppose they have 32 feet of fence to enclose the garden. Express the are of the garden as a function of x. What should the dimensions of the garden be in order to maximize the area?
Click here to see answer by checkley77(12569)

Question 232396: How much elevation does a car gain if it is going at 50 mph. for 15 minutes on a road that increases 6 feet in elevation for every 100 feet of driving?
Click here to see answer by ankor@dixie-net.com(15652)

Question 232743: I am currently without a book and some of these are still questionable to me. Anyone disagree? I makred my answers with the x. I have seen a similar test but nothing was solved that I found
1. The terms of a loan indicate how often interest is compounded. (Points: 2)
xTrue
False

2. A compound interest table shows the compounded amount per dollar of principal. (Points: 2)
True
xFalse

3. To compound daily means to compound 360 times a year. (Points: 2)
True
xFalse

4. The number of compounding periods for $6,600.00 at 12% compounded quarterly for 15 years is 30 periods. (Points: 2)
True
xFalse

5. The effective rate of a transaction can be calculated by dividing the interest for one year by the principal. (Points: 2)
xTrue
False

6. The term "nominal rate" means the same as "true rate." (Points: 2)
True
xFalse

7. The interest on $4,200.00 at 8% compounded semiannually for 10 years is $6,292.40. (Points: 2)
True
xFalse

8. The effective rate is: (Points: 2)
the stated rate
the nominal rate
the true semiannual rate
the true annual rate
x none of the above

9. $15,000.00 for 10 years compounded at 10% quarterly results in how many periods? (Points: 2)
120
20
10
x40
none of the above

10. In a loan of 8% compounded quarterly, what is the periodic interest (Points: 2)
x 2.5%
6%
2%
4%

11. $25,000.00 for 15 years compounded at 10% quarterly results in a periodic interest rate of: (Points: 2)
10%
x7%
5%
2.5%
none of the above

12. The effective rate is: (Points: 2)
xthe interest for one year divided by the principal
the interest for one year divided by the principal for three years
the interest for one year divided by the annual rate
never related to the compound table
none of the above

13. Josh is having difficulty deciding whether to put his savings in the Mercantile Bank or the Boatmen's Bank. Mercantile offers a 10% rate compounded quarterly while Boatmen's offers 12% compounded semiannually. Josh has $40,000.00 to invest and expects to withdraw the money at the end of 5 years. (Use Table 10-1 from the textbook.) The best deal is: (Points: 2)
xMercantile Bank
Mercantile Bank for the last two years
Boatmen's Bank for the first two years
Boatmen's Bank
none of the above

14. Don deposited $27,500.00 in Trader's Bank at an interest rate of 12% compounded quarterly. (Use Table 10-1 from the textbook.) The effective rate was: (Points: 2)
12.55%
12%
x13%
14.0%
none of the above

15. Lisa wants to attend the University of Colorado. She will need to have $80,000.00 five years from today. Lisa is wondering what she will have to put in the bank today so she will have $80,000.00 in five years. Her bank pays 10% compounded quarterly. By using Table 10-3 in the textbook, the amount Lisa will need to deposit is: (Points: 2)
$48,281.68
$49,113.60
$48,821.60
x$49,113.06
none of the above
Click here to see answer by solver91311(16885)

Question 232800: A ball is dropped from 10 feet high and always bounces back up half the distance it just fell. After how many bounces will the ball first reach a maximum height less than 1 foot?
Click here to see answer by Alan3354(30993)

Question 232930: Jimmy, Joe, and Sally are racing cars. Jimmy and Joe have completed the same number of laps- six fewer laps than Sally. If the total number of laps is 222, how many laps has each racer completed?
Click here to see answer by edjones(7569)

Question 232916: For every 1 hour parked or part of, there is a 1.00 charge for parking or any part of an hour. There is a $5.00 daily Maximum

1. Customer arrives at 9:15 am Total time parked hrs mins
Customer departs at 11:30 am Total parking charge

Click here to see answer by rfer(12660)

Question 233214: 5 divided by 8 equals 0. I need help with making this a word problem
Click here to see answer by Alan3354(30993)

Question 233246: Hi. I can across this question in the practice Accuplacer test, and I cannot for the life of me figure out how to work it.
2. If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
A. 2 hours and 24 minutes
B. 3 hours and 12 minutes
C. 3 hours and 44 minutes
D. 4 hours and 10 minutes
E. 4 hours and 33 minutes
I know that the answer is A, however I do not know how. Your help is greatly appreciated.
Click here to see answer by ankor@dixie-net.com(15652)

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