Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 38423: Technology: Driving down a mountain Tom finds that he has descended 1800 ft in elevation by the time he is 3.25 miles horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.
Click here to see answer by fractalier(6550)   |
Question 38487: In construction, floor space must be given for staircases. If the second floor is 3.6 meters above the first floor and a contractor is using the standard step pattern of 28 cm of tread for 19 cm of rise then how many steps are needed to get from the first to the second floor and how much linear distance will need to be used for the staircase?
Click here to see answer by stanbon(75887) |
Question 38487: In construction, floor space must be given for staircases. If the second floor is 3.6 meters above the first floor and a contractor is using the standard step pattern of 28 cm of tread for 19 cm of rise then how many steps are needed to get from the first to the second floor and how much linear distance will need to be used for the staircase?
Click here to see answer by Paul(988) |
Question 38539: I am needing help with the following problem please:
Evaluate 2x(squared)(Y+Z) where X=2, Y=3 Z=4
I got 15 but I am second guessing myself and wanted to see if I worked the problem correctly. Thanks for your help...
Click here to see answer by lyra(94)  |
Question 38575: The mat around a picture measures x inches across. The length of the picture with the mat is 40 inches, and the width of the picture with its mat is 24 inches. If the area of the picture is 192 square inches, find the dimensions of the picture.
Thanks for answering!:-)
Click here to see answer by fractalier(6550) |
Question 38573: One garden hosecan fil an above-ground in 10 hours. A second hose can fill the pool twice as fast as the first one. If both hoses are used together to fill the pool, how many hours will it take?
Thanks for answering!:-)
Click here to see answer by AnlytcPhil(1806)  |
Question 38579: Five men were to share treasure with long john silver. If the treasure were split into the following ratio 2:5:7:10:20:50. and the least amount any of the 6 pirates received was 14,000 pounds of gold. What is the total weight of the treasure??
Thanks for answering!:-)
Click here to see answer by rapaljer(4671)  |
Question 38583: Five men were to share the treasure with Long John Silver. If the treasure were split in the following ratio 2:5:7:10:20:50, and the least amount any of the six pirates received was 14,000 pounds of gold, what is the total weight of the treasure?
Click here to see answer by rapaljer(4671) |
Question 38586: Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m, and the area is 224m^2, find the length of the other base.
I think that the equation is: 224m^2=1/2 16m (20m + b)
(The 1/2 is a fraction) Anyway, I THINK that's the equation, but if it is, I don't know how to solve it!
Click here to see answer by rapaljer(4671) |
Question 38584: The Emperor of Lilliput gives Gulliver a daily allowance of food and drink that is equivalent to the amount given to 1728 Lilliputians. If Gulliver's allowance of food and drink will fit in a cubical box that measures 24 "blots" along each edge, what is the edge length of the cubical box for one Lilliputian's daily allowance of food and drink?
Click here to see answer by rapaljer(4671) |
Question 38580: Four children find a magic token that grants half of any wish. Their mother takes the token with her to a destination 20 miles away, and when she wishes she was home, she magically ends up halfway home. If the mother continues to make the same wish, how many more wishes will it take for her to be within 100 feet of her house?
Click here to see answer by rapaljer(4671) |
Question 38574: It takes Tom 4 hours to build a fence. If he hires Jack to help him, together they can do the job in just 3 hours. If jack built the same fence by himself, how long would it take him??
Thanks for answering!:-)
Click here to see answer by fractalier(6550) |
Question 38576: A family plans to surround their pool with a patio of constant width. The pool has an area of 150 square feet. The dimensions of the pool with the patio will be 15 feet by 20 feet. Find the dimensions of the pool.
Thanks for answering!:-)
Click here to see answer by Paul(988) |
Question 38576: A family plans to surround their pool with a patio of constant width. The pool has an area of 150 square feet. The dimensions of the pool with the patio will be 15 feet by 20 feet. Find the dimensions of the pool.
Thanks for answering!:-)
Click here to see answer by rapaljer(4671) |
Question 37752: Five men were to share the treasure with Long John Silver. If the treasure were split in the following ratio 2:5:7:10:20:50, and the least amount any of the six pirates recieved was 14,000 pounds of gold, what is the total weight of the treasure?
Click here to see answer by rapaljer(4671) |
Question 29517: A long-distance phone company charges $0.50 for the first minute and $0.15 for each additional minute. If Mark budgets $4 to call his sister once a month, how long can they talk? How much will he be charged?
Click here to see answer by Evy(14) |
Question 37893: A circle has an inscribed right triangle having an altitude of 4 and an area of 28. What are the circumference and area of circle? (Inscribes means inside with vertex's touching the edsge of the circle)
Click here to see answer by rapaljer(4671) |
Question 34152: construction cost based in the area covered are $54 per square foot. what would the cost be of construction for a house 40 ft long and 30 ft wide.
how many 8 in square flagstones are needed fore a patio 14ft long and 10ft wide
DO I TAKE THE 14 AND X IT BY 10
Click here to see answer by Evy(14) |
Question 36655: Please help!!!
Thank you!!
Janice tosses a softball directly upward with an intinal velocity of 100 feet per second. Use the formula h=vt-16t^2 to answer each question.
a.when will the ball reach the height of 84 feet.
b. when will it hit the ground.
Click here to see answer by venugopalramana(3286) |
Question 38689: A circle has an inscribed right triangle having an altitude of 4 and an area of 28. What are the circumference and area of the circle? (inscribed means inside with vertex's touching the edge of the circle.)
Click here to see answer by Paul(988) |
Question 38687: A rectangle with dimension 5 x 8 is inscribed in a circle. What are the area and circumference of the circle? Also, find the area of the region inside the circle not covered by the rectangle. (inscribed means inside the vertex's touching the edge of the circle.)
Click here to see answer by Paul(988) |
Question 38686: Two furniture salesmen are comparing their salaries. Tom is paid $5.00 per hour plus a 15% commission of his total sales. Bob is paid $9.00 per hour plus a 10% commission of his total sales. Suppose each has sold $5000 worth of furniture, who would make the most money and during which time intervals?
Click here to see answer by Paul(988) |
Question 38760: 4) CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Crane came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Crane insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one grain of wheat on the first square. Then place two grains of wheat on the next square. Then place four grains on the third square. Continue this until all 64 squares are covered with grains of wheat.” As he had just harvested his wheat, Mr. Crane did not consider this much of an award, but he soon realized he made a miscalculation on the amount of wheat involved.
a) How much wheat would Mr. Brown have to put on the 24nd square?
Answer:
Show work in this space.
b) How much total grain would the traveling salesman receive if the checkerboard only had 24 squares?
Answer:
Show work in this space.
c) Calculate the amount of wheat necessary to fill the whole checkerboard (64 squares). How much wheat would the farmer need to give the salesman? Please provide the answer in either scientific notation, or calculate and show all 20 digits.
Click here to see answer by Nate(3500) |
Question 38768: Tara is a sales representative for a cosmetic company. She is paid $5.15 per hour each week plus a commission of 10% of the amount of sales over $5,000.She works 40 hours one week, and she sells $7260 worth of cosmetics during that week. She has been offered a job for another cosmetic company that pays $5.00 per hour for a 40-hour week plus a commission of 4% of total sales. Which job would pay more? Should she change jobs?
Click here to see answer by Nate(3500) |
Question 38771: I have gotten the first answer, can you check to see if its right? I can't figure out B, Please help!!
4) CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Crane came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Crane insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one grain of wheat on the first square. Then place two grains of wheat on the next square. Then place four grains on the third square. Continue this until all 64 squares are covered with grains of wheat.” As he had just harvested his wheat, Mr. Crane did not consider this much of an award, but he soon realized he made a miscalculation on the amount of wheat involved.
a) How much wheat would Mr. Crane have to put on the 24nd square?
Answer: t=8388608
Show work in this space.
t=a*r^(n-1)
t=1*2^(24-1)
t=1*2^(23)
t=8388608
b) How much total grain would the traveling salesman receive if the checkerboard only had 24 squares?
Answer:
Show work in this space.
Click here to see answer by Nate(3500) |
Question 38770: Two furniture salesmen are comparing their salaries. Tom is paid $5.00 per hour plus a 15% commission of his total sales. Bob is paid $9.00 per hour plus a 10% commission of his total sales. Suppose each has sold $5000 worth of furniture, who would make the most money and during which time intervals?
Click here to see answer by Nate(3500) |
Question 38777: A small town is hosting a play as a fundraising project for a family in the town. Individuals may purchase tickets for $26 each. As a special incentive to attract couples, individuals may purchase a "couple package" for $32. (note: the "couple package" allows 2 people to attend the play for the price of $32.) On the first day of sales 23 tickets were sold and $694 was collected. How many tickets were sold to individuals for $26 each? How many people were convinced to buy the "couple package"?
Click here to see answer by Nate(3500) |
Question 38826: An airplane covered 22 miles of its route while decreasing its altitude by 13,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. (Hint: 1 mile = 5280 feet)
Thanks
Click here to see answer by Nate(3500) |
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