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

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Question 611575: A tank is 3/8 full of water. If 100liters more of water is needed to fill it up, how many liters of water can the tank hold.
Click here to see answer by stanbon(57219)

Question 611663: If you can earn $72 with four cars in 60 minutes, how much could you earn with 24 cars in 10 minutes?
Click here to see answer by richwmiller(9135)

Question 40139: THE GRAZING GOAT
Zoe the goat is tied by a rope to one corner of a 15 meter by 25 meter barn in the middle of a large, grassy field. Over what area of the field can Zoe graze if the rope is:
a) 10 meters long?
b) 20 meters long?
c) 30 meters long?
d) 40 meters long?
e) Zoe is happiest when she has at least 400 m2 to graze. What possible lengths of rope could be used?

Click here to see answer by tomlaidlaw(13)

Question 612054: I am having troubles with these problems, I have never had Algebra before now and I am finding it very hard to understand, I have been out of school for 34 years now, so this is kinda hard for me. here is are the problems I need help with.
Annual profit in thousands of dollars is given by the function, P(x) = -.1x2 + 50x - 300, where x is the number of items sold, x ≥ 0.
1.describe the meaning of the number -.1 in the formula, in terms of its meaning in relation to the profit.
2.describe the meaning of the number -300 in the formula, in terms of its meaning in relation to the profit.
3.find the profit for 5 different values of x
4.graph the profit function over its given domain; use the 5 values calculated in part 3 to construct the graph and connect these points with a smooth curve in Excel or another graphing utility. Insert the graph in a Word file and attach the graph in a Word file to the class DB thread.
5.will this profit function have a maximum, if so, what is it?
6.what steps should the company take to prepare for your answer to part 5?
Click here to see answer by vleith(2825)

Question 612084: A pianos strings frequency (f) varies directly with the square root of the strings tension (t) and inversely with both the length (l) and diameter (d)
The middle c note has a frequency of 262 hz. the string producing this note has a tension of 670 and a length of 62 and a diameter of 0.1025 cm, write an equation that relates f,t,l, and d.
Also find the frequency of the note produced by a string with a tension of 1629 and a length of 201.g and a diameter of 0.49.
Click here to see answer by Alan3354(30959)

Question 612322: Working together, a man and his two sons assembled a set of electric trains in 12 minutes. Working alone, it would have taken the man 10 minutes less than it would have taken either son working alone. How long would it have taken the two sons, working together without their father, to assemble the set of trains?
Click here to see answer by ankor@dixie-net.com(15624)

Question 612402: Tom wants to enclose a section of his lawn that is 30 yards long and 20 yards wide. He buys 125 yards of fencing. How much fencing is left over?
Click here to see answer by G8TORS(10)

Question 612535: A company makes stuffed animals for children. Each animal is sold for $12.00. If the company has a fixed cost of $1,500 per week, plus $4.00 to make each animal, X, which equation shows sales equal to cost?
A. 12X = 4X + 1500
B. 12X = 4X - 1500
C. 4(12X) = 1500
D. (12 + 4)X = 1500
Could someone please help solve this problem? Please explain it to me!
Click here to see answer by jim_thompson5910(28476)

Question 612537: Mary is buying a rug that is 6 feet by 8 feet. Her den is 9 feet by 11 feet. How many square feet of floor will not be covered by the rug?
A 6
B 12
C 24
D 3
Can someone please help? I am so confussed! Please explain answer so I can understand.
Click here to see answer by jim_thompson5910(28476)

Question 612570: One number is twice as large as the second. The sum of the two numbers is 366. What is the smaller number?
Click here to see answer by solver91311(16868)

Question 612585: bryan berg built an 83 story house of cards in 1995 he used 27000 playing cards to accomplish this feat. At this same rate about how many cards would it take to build a 100 story house of cards

Click here to see answer by Johngift(2)

Question 612637: a teacner randomly selects 2 students from her calss of 25. What is the probabilty of her selcting a given student, say Tom.
P(Tom) = 1 - P(not selecting Tom) = 1 - (24/25)*(23/24) 1 - 23/25 = 2/25
Correct????
Click here to see answer by stanbon(57219)

Question 612691: A factory produces 5,000,000 ibuprofen tablets to fill an order. the bottle chosen for packaging holds 250 tablets. if the active ingredient in each tablet is 200 mg of ibuprofen, how much ibuprofen must the factory use to fill this order? Answer in pounds.
Click here to see answer by richwmiller(9135)

Question 612791: Contractors in the northeast use the formula B=30a to determine the minimum furnace output B, in British thermal units (Btu's),for a well-insulated house with a square feet of flooring. Determine the minimum furnace output for an 1800-ft2 house that is well insulated. I tried B=30a B/30=a a=1800 =60 output
Click here to see answer by rfer(12644)

Question 612833: soybean is 12% protein, cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240 pounds of mixture that is 7% protein?
Click here to see answer by stanbon(57219)

Question 612972: what is the definition of natural logarithm
Click here to see answer by jim_thompson5910(28476)

Question 613260: This one has me stumpted! Could someone explain?
A cyclindrical aquarium is designed with a base diameter of 5 feet and a height of 6 feet. If 3.14 is used for pie, what is the approximate volume of the aquarium to the nearest cubic foot.
A. 38
B. 118
C. 471
D. 1,884

Click here to see answer by stanbon(57219)

Question 613265: Mary must order some wall trim for her living room in her new house. The room is 30 feet by 19 feet, and it has three doors. One doorway is 8 feet across, one is 4 feet across, and one is 3 feet across. No wall trim is needed for the doorways. If trim can only be ordered by the yard. How many yards will Mary need to order?
A. 27
B. 28
C. 32
D. 33
Click here to see answer by ewatrrr(10682)

Question 613273: The lengths of the sides of a triangular parcel of land are 300 ft, 350 ft. What is the area, in square feet, of the parcel
Click here to see answer by Earlsdon(6287)

Question 613583: If y varies directly as x, what is the value of y in these ordered pairs? (3, 12) and (24, y)
Click here to see answer by vleith(2825)

Question 613624: Consider acid rain that was measured to have a pH of 2.5. How many times more acid is this acid rain than typical rain with a pH of about 6?
Click here to see answer by ewatrrr(10682)

Question 613622: Imagine that for a certain person, the number of cells in a tumor doubles every three months. Supposing the tumor stars as a single cell, how many cells will there be after 3 years if this rate is maintained?
Click here to see answer by ewatrrr(10682)

Question 613726: Mary is swimming in a rectangular pool that is 25 feet wide by 60 feet long.
If she swims diagonally across the pool,about how many feet does Mary swim?
A. 13
B. 55
C. 65
D. 85
Could someone please help!!
Click here to see answer by jim_thompson5910(28476)

Question 613849: Trying to find the proper equation for this problem, having great dificulties: The student activities club is offering tickets to the Nutcracker Ballet at a reduced price. The matinee performance tickets are $8.50 and the evening performance tickets are $11.00. In all 98 tickets were sold and they collected $923.00. How many matinee tickets were sold? How many evening tickets were sold?
Click here to see answer by scott8148(6628)

Question 614315: 1.A sprinter who average 30 ft/sec completed a race 1 sec before another sprinter who average 28 ft/sec. What was the distance of the race?
2. The average vertical speed of an experimental rocket is 1200 kph during its flight. Upon reaching its maximum height, it released a capsule which descended at an average vertical speed of 630kph. If the capsule touches the earth 90 min. after the rocket was launched, find the height reached by the rocket?
Click here to see answer by stanbon(57219)

Question 614313: Suppose your baby sister is born at 12 noon and you call 2 friends. In 10 minutes, they each call 2 friends to tell the news. In 10 minutes, these friends call 2 others each. This continues all afternoon. How many people will know by 4:00 pm?
Click here to see answer by richwmiller(9135)

Question 614310: This year the boys' baseball team won 4 times as many games as it lost. The team played a total of 40 games. How many games did the team win?

Click here to see answer by richwmiller(9135)

Question 614334: The average speed of an express train is 15 mph faster than the average of a local train. It takes the local train 2 hours longer than the express train to cover 360 miles. What is the average speed of the express train?
Click here to see answer by lwsshak3(6463)

Question 614527: One number is 11 more than twice another number. If the sum of the numbers is twice their difference, find the numbers
Click here to see answer by stanbon(57219)

Question 614558: It took John 12 hours riding his bike to make the round trip to his uncle's. If he averaged 20 mph out and 30 mph back, how long did he travel each way? (round answer to the nearest tenth)
Click here to see answer by richwmiller(9135)

Question 614825: Sally makes turquoise rings. She rents a booth for $35 a day to sell her rings.
Each ring cost her $2 to make. She sell each ring for $5. Sally wants to make
at least $200 profit for the day. How many rings must she sell?
A. 34 B. 78 C. 79 D. 118
Click here to see answer by richwmiller(9135)

Question 614902: The sum of two numbers is forty-one.One less then five time the smaller is equal to the larger. find the two numbers. rewrite the sentence as an equation-use x to represent the smaller number.
Click here to see answer by lwsshak3(6463)

Question 614926: A sample of 130 firecrackers contained 7 duds. How many duds would you expect in a sample of 2600 firecrackers?
Click here to see answer by stanbon(57219)

Question 614670: the perimeter of a basketball court is 84 meters and the length is 6 meters longer than twice the width. what are the length and width
Click here to see answer by asuar010(324)

Question 615108: A motorboat can go 8 miles downstream on a river in 20 minutes. It takes 30 minutes to go upstream the same 8 miles. Find the speed of the current.
Click here to see answer by ankor@dixie-net.com(15624)

Question 615267: After a heavy snowfall, Brian can shovel the entire driveway in 30 minutes. If his brother Alan helps, the job takes only 20 minutes. How long would it take Alan to do the job by himself?
Click here to see answer by josmiceli(9649)

Question 615963: Karla cleaned her garden by raking.she took 40 min to finish.
mike took 60 min for the same place to clean.if karla started 10 minutes before,How much time will take to fish cleaning together?

Click here to see answer by josmiceli(9649)

Question 615980: The Missouri Football Stadium is 12 3/4 inches from the Columbia Regional Airport on a map with a representative fraction of 1 : 100,000. How many miles apart are they.????
Click here to see answer by JBarnum(2044)

Question 616132: the fox family had a choice of 4 appetizers, 5 main courses, and 3 deserts. how many combinations of main courses, deserts, and appetizers can be made?
Click here to see answer by stanbon(57219)

Question 616159: Tickets for school play go on sale Monday. Prior to this a total of 27 tickets have been purchased by the members of the cast for their families. As the day progresses a total of 6 tickets are sold each hour.
Let “h” represents the number of hours that have gone by and let “t” represents the number of tickets that have been sold.
1. Create a table of values that represent this situation
h
t
2. Write an equation that represents this situation.
3. Is this equation linear? (Give evidence to support your decision)
4. Graph this equation on the Cartesian plane below (Be sure to label both axes on your graph)
5. Use the graph to estimate how many tickets will be sold after 10 hours.
6. Use the equation to find how many tickets will be sold after 10 hours.
7. Compare the answers in questions 5 and 6.
8. Choose any two ordered pairs that verify your equation and find the slope using slope =(y2-y1)/(x2-x1)
9. Use any two points on the graph:
a. Highlight the difference between the y-coordinates of these two points (y2-y1) also called vertical change and find its value.
b. Highlight the difference between the x-coordinates of the same two points (x2-x1) also called horizontal change and find its value.
c. Find the ratio of vertical change vs. the horizontal change.
d. Compare this ratio to the slope found in question 8.
10. What does this slope tell us?

Click here to see answer by richwmiller(9135)

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