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

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Question 320895: I have a two part question.
A box without a top is constructed from a 4m by 8m piece of cardboard by cutting a square of side length x from each corner.
a. Find the volume (v) of this box as a function of x.
b. By sketching the graph of the function v(x), establish that v(x) attains a maximum value on the interval (0,2).
Click here to see answer by toidayma(44)

Question 320913: Please help!Of the 49 plays attributed to a playwright 20 are comedies, 14 are tragedies, and 15 are histories. If 1 play is selected at random, find the odds in favor of selecting a tragedy or a comedy.The odds in favor are______(simplify your answer. Answer should be in a ratio form a:b)
Thank you so much for the help.
Click here to see answer by vleith(2825)

Question 320930: An election ballot asks voters to select 6 city commissioners from a group of 12 candidates. In how many ways can this be done.
Use the formula nCr to solve.
I am stuck please help
Click here to see answer by nyc_function(2733)

Question 320928: The mathmatics department of a college has 14 male professors, 14 female proffesors, 7 male teaching assistants, and 14 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a teaching assistant or a female.
Click here to see answer by nyc_function(2733)

Question 320910: A building contractor is to dig a foundation 42 feet long, 24 feet wide, and 9 feet deep. The contractor pays $5.00 per load for trucks to remove the dirt. Each truck holds 8 cubic yards. What is the cost to the contractor to have all the dirt hauled away?
Not sure how to solve problem
Click here to see answer by Fombitz(13828)

Question 321015: I keep getting the wrong answer please help.
You are choosing between two health clubs. Club A offers a membership for a fee of $28 plus a monthly fee of $15.
Club B offers a membership for a fee of $24 plus a monthly fee of $16.
After how many months will the total cost of each health club be the same?
What will be the total cost for each club?
Click here to see answer by Fombitz(13828)

Question 320988: A watch loses 2 minutes every hour. If it now shows 8:45, what time was it displaying exactly 30 hours earlier?
A) 3:15 B) 1:45 C) 2:15 D) 2:45 E) 3:45
Click here to see answer by josmiceli(9697)

Question 321137: At last week’s hockey game involving Waterloo Blueberries, the price of a
platinum ticket was $25, the price of a gold ticket was $10, the price of a silver ticket was $5, and the price of a bronze ticket was $1.
(a) Jim buys 5 platinum tickets, 2 gold tickets and 3 silver tickets. Determine the average cost of the tickets that Jim buys.
(b) Mike buys 8 tickets whose average cost is $12. He then buys five more platinum tickets. What is the new average cost of the tickets that he has bought?
(c) Ophelia buys 10 tickets with an average cost of $14. Suppose that she buys n more platinum tickets. The new average cost of the tickets that she has bought is $20. What is the value of n?

Click here to see answer by mananth(12270)

Question 321142: I need help solving this word problem
Write a system of two equations in two unknowns for each problem. Solve each system by substitution.

Investing her bonus. Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did she invest at each rate?
Click here to see answer by mananth(12270)

Question 321143: A wheel with radius 1 m rolled in a straight line through one complete revolution on a flat horizontal surface. How many metres did the centre of the wheel travel horizontally from its starting location?
Click here to see answer by nerdybill(6962)

Question 321181: Each day we purchase 130 ice cream cones per second. Use the fact that there are approximately 3.2 X 10^7 seconds in a year to approximate how many ice cream cones are purchased in 1 year. Answer should be written in scientific notation.
Approx. how many ice cream cones are purchased in 1 year?
Thank you for the help.
Click here to see answer by josmiceli(9697)

Question 321188: A health inspector must visit 3 of 7 restaurants on Monday. In how many ways can she pick the 3 restaurants.
There are ____ different ways.
(simplify the answer)
Click here to see answer by stanbon(57387)

Question 321185: The formula C=5/9 (F-32)expresses the relationship between Fahrenheit
temperature,F, and celsius temperature, C. Use the formula to convert 14 degrees F to it's equivalent temperature on the celsius scale.
14 degrees F =____ degree C.

Click here to see answer by Alan3354(30993)

Question 321189: You are choosing between two health clubs. Club A offers a membership for a fee of $28 plus a monthly fee of $15.Club B offers a membership for a fee of $24 plus a monthly fee of $16.
After how many months will the total cost of each health club be the same? What will be the total cost for each club?
Please help. Thank you!
Click here to see answer by toidayma(44)

Question 321212: linda and dave leave from the same starting point, biking in opposit directions... linda bikes at 7mph, and dave bikes at 10mph. how long will it be until they are 22 miles apart from each other
Click here to see answer by stanbon(57387)

Question 321146: Pierre Trudeau was Prime Minister of Canada for approximately 15 years. He died in
the year 2000. The year of his birth is the product of 2 prime numbers. One of these prime numbers is the smallest 3-digit prime number. What is the sum of the digits that make up the year of his birth?
Click here to see answer by ankor@dixie-net.com(15660)

Question 321242: The volume of a cube is given by V=s^3 , where s is the length of a side. Find the length of a side of a cube if the volume is 500cm^3. Round the answer to three decimal places.
Click here to see answer by checkley77(12569)

Question 321213: solve:
a number subtracted from 9 equals the quotient of -26 and 2. find the number
Click here to see answer by checkley77(12569)

Question 321202: Toyota Corolla. Gwen bought a new Toyota Corolla. The
selling price plus the 8% state sales tax was $15,714. What
was the selling price?
Click here to see answer by checkley77(12569)

Question 321130: An empty 5-gal water jug weighs 0.75 lb. with 3 c of water inside, the jug weighs 2.25 lb. predict the weight of the jug with 5 c of water inside
Click here to see answer by checkley77(12569)

Question 321327: The product of the page numbers on two facing pages of a book is 240. Find the page numbers.

Click here to see answer by mananth(12270)

Question 321326: There are n teams in a league and the number of games played is given by the polynomial n^2-n=N. A women's softball league has 13 teams. What is the total number of games to be played.
Click here to see answer by solver91311(16897)

Question 321330: Company A rents copiers for a monthly charge of $200 plus 10 cents per copy. Company B rents copiers for a monthly charge of $400 plus 5 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?
Click here to see answer by mananth(12270)

Question 321344: URGENT!
1.While waiting for a train, alvin takes a bus ride at 60 kph to a certain point and then take walks back leisurely at 10 kph. The bus takes 1/4 hour less than his walking. How far does he walk and how long.

Click here to see answer by ankor@dixie-net.com(15660)

Question 321371: The 64 whole numbers from 1 through 64 are written, one per square, on a checkerboard ( an 8 by 8 of 64 squares ). The first 8 numbers are written in order across the first row, the next 8 across the second row, and so on. After all 64 numbers are written, the sum of the numbers in the four corners will be
A 130 B 131 C 132 D 133 E 134
Click here to see answer by Alan3354(30993)

Question 321370: The manager of a company planned to distribute a $50 bonus to each employee from the company fund, but the fund contained $5 less than what was needed.Instead the manager gave each employee a $45 bonus and kept the remaining $95 in the company fund. The amount of money in the company fund before any bonuses were paid was
A $945 B $950 C $955 D $990 E $995
Click here to see answer by josmiceli(9697)

Question 321445: a 136-inch pipe is cut into two pieces. one piece is three times the length of the other. find the lengths of the two pieces
Click here to see answer by checkley77(12569)

Question 321337: URGENT!
1. Mr. Honda anf Mr. Toyota arrange to meet on the highway connecting their hometown. Mr Honda drives at 45 kph and Mr. Toyoya at 35 kph.They leave their homes w/c are 120 kilometers apart at the same time. In how many hours will they meet?
2. There are two trains. The rabbit heads North on the expressway at 4 kph. Exactly 2 hours after, the Panther follows at a steady speed of 54 kph. How long does it tAke the panther overtake the rabbit?
Click here to see answer by ankor@dixie-net.com(15660)

Question 321433: The sum of the 28 consecutive odd, positive integers is a perfect cube. Find the smallest integers in the set.
Click here to see answer by Alan3354(30993)

Question 321458: lOGICS
I can't figure out. Please help???
Fill in the heading of the following truth table using any of p, q, ~, , ↔, , and . Use keyboard shortcuts of --> for , <--> for ↔, V for , and ^ for .

p q ?
T T F
T F F
F T T
F F F
Click here to see answer by Edwin McCravy(8909)

Question 321464: 21. The polynomial 0.14-0.018a-2.69 can be used to estimate the lung capacity, in liters, of a female with height h, in centimeters, and age a, in years. Find the lung capacity of a 40-year-old woman who is 160 centimeters tall.

Click here to see answer by checkley77(12569)

Question 321431: At 8 o'clock, the hour hand and the minute hand are perpendicular. They form
straight line 16 4/11 minutes later. How many minutes after 9 o'clock are they
perpendicular again?

Click here to see answer by scott8148(6628)

Question 321532: I am not sure how to add the height in this problem. Is it written right? I cannot figure out the answer
The polynomial 0.14h-0.018a-2.69 can be used to estimate the lung capacity, in liters, of a female with height h, in centimeters, and age a, in years. Find the lung capacity of a 40-year-old woman who is 160 centimeters tall.

Click here to see answer by jim_thompson5910(28598)

Question 321557: Thank you Jim for your last answer. I really appreciate it!!
Please help me solve this.
Suppose it takes 3 days for a space vehicle to travel from earth to the moon. About how long would it take the same vehicle traveling at the same speed to reach Mercury?
Moon--240,000
Mercury--57,000,000
Round to nearest whole number. Use scientific notation.

Click here to see answer by mananth(12270)

Question 321623: space probe left the Earth on November 15, 1980. It reached Saturn on January 20,
1983. Approximately how many months did take to reach Saturn?
A) 38 B) 28 C) 29 D) 22 E) 26

Click here to see answer by mananth(12270)

Question 321688: A palindrome is a positive integer whose digits are the same when read forwards or
backwards. For example, 2002 is a palindrome. What is the smallest number which can be added to 2002 to produce a larger palindrome?
Click here to see answer by solver91311(16897)

Question 321759: When Susan is 10 years old her brother is 40. Which makes her brother 4 times older than Susan. When Susan is 15 years old her brother is 45 years old. Which makes her brother 3 times older than Susan. When Susan is 30 years old her brother is 60 years old. Which makes her brother 2 times older than Susan. How many years do they have to wait before they are the same age?
Click here to see answer by stanbon(57387)

Question 321796: It takes 2 hours for 3 cooks to prepare the food for a wedding rehearsal dinner. How long will it take 5 cooks to prepare the dinner?

Thanks to anyone who can help!!
Click here to see answer by solver91311(16897)

Question 321853: A car dealer offers you a choice of 0% financing for 60 months or $2500 cash back on a new vehicle. You have a pre-approved 60-month loan you can use from your credit union at a 4% interest rate. If the monthly payments at 0% are $16.67 per $1000 financed, and the monthly payments at 4% are $18.41 per $1000 financed, what is the range of new car prices for which the cash back option will cost you less? For what range of car prices should you take the 0% financing?
This is what I have..
$16.67 * $1000 = $16,670.
$16,670. /60 = $277.83
$18.41 * $1000 = $18,410. - $2500 = $15,910.
$15,910 /60 = $265.17

Click here to see answer by Theo(3464)

Question 321711: Phone was thrown from top of a building. The height h(t) of the cell phone at time (t) is described by the function h(t) = -16tsquared +96t+112. When will the phone be at a height of 192 feet and how many seconds will it take to hit the ground?
I have tried putting the numbers in and just cannot figure this out. Can you help please? Thanks
Click here to see answer by ankor@dixie-net.com(15660)

Question 321880: My brain is fried studying for finals and I'm stumped on 2 word problems that are seemingly simple.
1. A small plane went 240 miles in 3 hours flying against the wind and the same amount of time to go 300 miles with the wind. What was the speed of the plane without the wind?
2. It takes Danny 3 times as long to mow a field as it takes his father. Together they can mow the same field in 4 hours. How long does it take Danny working alone?
Please and thank you,
"An A math student who just can't think anymore"
Click here to see answer by Alan3354(30993)

Question 321955: Alan3354 got rid of 2 migraines for me tonight. I solved this one but I am curious if I set it up correctly. (sorry, studying for finals and want a 4.0).
"John used 5 gallons of BLUE paint and 8 gallons of WHITE paint on his house. Kim used only 3 gallons of BLUE, but 11 gallons of WHITE at the same price per gallon as John's paint. If John spent $197 and Kim spent $205, how much was the blue paint per gallon?
My solution was x=total value of blue/5(# of blue gallons)+(197-x)/8(# of white gallons)=197/13(total # of gallons).
x/5+(197-x)/8=197/13
Am I on the right track and is "Kim's" info totally insignificant here or is my brain fried far more than I'm willing to admit??
"Not feeling like an A student anymore"
Click here to see answer by mananth(12270)

Question 321975: A tree that is 17.04 feet high grows 4.88 feet .per year. There is an electric wire 100 feet above the ground. How many years will it take for tree to touch the wire?
Click here to see answer by mananth(12270)

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