Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 1024833: 2 mathematicians are talking to each other. One asks the other how old are your kids? He responds "I have 3 kids and the sum of their ages is 31. My oldest has a dog." The other replies "Thank you. Now I can solve this problem." How old are the kids?
Click here to see answer by ikleyn(52776)   |
Question 1024868: Two printing machines are working together to complete printing question papers for examination in 2hours and 24 minutes. When one machine is printing alone it takes 2hours longer than the other. How long does the slowe machine take?
Click here to see answer by ikleyn(52776) |
Question 1024931: A hockey team plays in an arena that has a seating capacity of
15,000 spectators. With the ticket price set at $50, average attendance
at recent games has been 10500. A market survey indicates that for
each dollar the ticket price is lowered, the average attendance increases
by 100.
(a) Find a function that models the revenue in terms of ticket price.
(b) Which attendance will give the maximum revenue? Justify your
answer
I did ticket=x
amount price is lowered: 50-x
increase in attendence=100(50-x)
attendance: 10500+100(50-x)=15500-100x
revenue=ticket price*attendemce
R(x)=x(15500-100x)=15500-100x^2
i am not sure how to do the second part all i know is if i use x=-b/2a i can find ticket price that maximizes revenue however they are asking for attendance which maximizes revenue. Thanks a lot for your time!
Click here to see answer by JoelSchwartz(130) |
Question 1025255: Information on the Gulf of Mexico oil spill is briefly provided below:
‘Eleven men were killed in the 20 April 2010 blowout on the Deep-water Horizon. By the time BP regained control of its well 87days later; the Gulf was fouled by some 4.9m barrel of crude, destroying shrimp and oyster harvests and the tourism season. It was America’s worst oil spill and the civil trial of BP and other companies involved on the Deep-water Horizon had been expected to be one of the biggest and most complex legal proceedings in modern history. Hundreds of lawyers for all parties were involved in preparing for the trial - and in parallel negotiations to try to get a settlement. There were 340 lawyers from 90 different firms working on the plaintiff’s side alone. The deal between BP and more than 120000 victims of the spill - from shrimp boat captains to sales teams at time-share condos, restaurateurs and wedding planners - settles what is arguably the most complicated part of the legal proceedings. But it will not be universally welcomed in the Gulf, where there is a strong undercurrent of opinion that wants to see BP held to account in court in addition to offering financial compensation.’
Identify the four social, environmental and economic indicators (12 in total) that BP might consider in estimating and negotiating its compensation bill for this oil spill.
Click here to see answer by ikleyn(52776) |
Question 1025256: TL Ltd is a multinational construction company with subsidiary organisations all around the world. Following are five of their subsidiaries. The management of TL Ltd is reflecting on the environmental costs expended by the five subsidiaries, shown below:
Prevention Appraisal Internal failure External Failure
Braydon $30 000 $100 000 $200 000 $0
Thompson 60 000 20 000 50 000 90 000
Braxis 200 000 300 000 90 000 100 000
Trawson 1 million 2 million 25 000 10 000
Ghent 45 000 20 000 40 000 80 000
Required:
1. In your opinion, which subsidiary is the best performing and why?
2. Which is the worst performing subsidiary, and why?
3. Overall, what criteria did your group use to differentiate between the subsidiaries? Could you have developed alternative rationales that might have changed your answers to A and B?
Click here to see answer by ikleyn(52776) |
Question 1025254: Question 2
The following are some selected quotes from senior executives of three different types of companies.
A high technology steel company: “We try to find the best technology, stay ahead of competition, and serve the customer……We’ll make any investment that will pay back quickly ……but if it is something that we really see as a must down the road, payback is not going to be that important.”
A biotech Company: “You cannot really run the numbers, do net present value calculations, because the uncertainties are really gigantic…You decide on the project you want to run, and then you run the numbers (as a reality check on your assumptions). Success in a business like this is much more dependent on tracking rather than of predicting, much more dependent on seeing results over time, tracking and adjusting and readjusting, much more dynamic, much more flexible.”
A Pharmaceutical Company: … at the individual product level – the development of a successful new product requires on the order of $230 million in R&D, spread over more than a decade – discounted cash flow style analysis does not become a factor until development in near the point of manufacturing scale-up effort. Prior to that point, given the uncertainties associated with new product development, it would be lunacy in our business to decide that we know exactly what’s going to happen to a product once it gets out.”
Explain the role of capital investment analysis for these companies.
Click here to see answer by ikleyn(52776) |
Question 1025311: A coffee shop has pure Kona beans that sell for
$45per pound. The owner wants to create
50 pounds of a Kona blend mixture that can be sold for
$31 per pound by mixing the Kona beans with some regular beans that sell for
$10per pound. How many pounds of each bean should the owner use?
Click here to see answer by josmiceli(19441)  |
Question 1025377: Information on the Gulf of Mexico oil spill is briefly provided below:
‘Eleven men were killed in the 20 April 2010 blowout on the Deep-water Horizon. By the time BP regained control of its well 87days later; the Gulf was fouled by some 4.9m barrel of crude, destroying shrimp and oyster harvests and the tourism season. It was America’s worst oil spill and the civil trial of BP and other companies involved on the Deep-water Horizon had been expected to be one of the biggest and most complex legal proceedings in modern history. Hundreds of lawyers for all parties were involved in preparing for the trial - and in parallel negotiations to try to get a settlement. There were 340 lawyers from 90 different firms working on the plaintiff’s side alone. The deal between BP and more than 120000 victims of the spill - from shrimp boat captains to sales teams at time-share condos, restaurateurs and wedding planners - settles what is arguably the most complicated part of the legal proceedings. But it will not be universally welcomed in the Gulf, where there is a strong undercurrent of opinion that wants to see BP held to account in court in addition to offering financial compensation.’
Identify the four social, environmental and economic indicators (12 in total) that BP might consider in estimating and negotiating its compensation bill for this oil spill.
Click here to see answer by ikleyn(52776) |
Question 1025375: The following are some selected quotes from senior executives of three different types of companies.
A high technology steel company: “We try to find the best technology, stay ahead of competition, and serve the customer……We’ll make any investment that will pay back quickly ……but if it is something that we really see as a must down the road, payback is not going to be that important.”
A biotech Company: “You cannot really run the numbers, do net present value calculations, because the uncertainties are really gigantic…You decide on the project you want to run, and then you run the numbers (as a reality check on your assumptions). Success in a business like this is much more dependent on tracking rather than of predicting, much more dependent on seeing results over time, tracking and adjusting and readjusting, much more dynamic, much more flexible.”
A Pharmaceutical Company: … at the individual product level – the development of a successful new product requires on the order of $230 million in R&D, spread over more than a decade – discounted cash flow style analysis does not become a factor until development in near the point of manufacturing scale-up effort. Prior to that point, given the uncertainties associated with new product development, it would be lunacy in our business to decide that we know exactly what’s going to happen to a product once it gets out.”
Explain the role of capital investment analysis for these companies.
Click here to see answer by ikleyn(52776) |
Question 1025605: mike weights 90 pounds. On a web site, he calculated that he would weigh about 15 pounds on the Moon. Write an equation relating pounds on Earth, e, to pounds on the Moon, m. About how many pounds would Mike's dog weigh on the Moon if he weighs 54 pounds on Earth?
Click here to see answer by stanbon(75887) |
Question 1025630: We collected sprinkler water for 9 days. Each day we got the same amount. After 9 days, we had a total of 4 gallon water. How much water did we collect per day? Enter your answer as a mixed fraction, if necessary. Reduce all fractions.
Click here to see answer by stanbon(75887) |
Question 1025648: Suppose the price of a certain brand of drink dropped from $2.20 to $1.90 and at the same time, the quantity of the product reduced from 100ml to 75ml.
Calculate if this is a “good” change for the manufacturer? Why?
Click here to see answer by Alan3354(69443)  |
Question 1025709: Two containers of different capacities were used to fill a vat with 140 liters of liquid. One container had a capacity of 1 liter and the other had a capacity of 4 liters. Given that the contents of 50 containers were used to fill the vat, how many times was each container used?
Click here to see answer by ikleyn(52776) |
Question 1025526: Allen and Geoff are mowing lawns together to raise money to go to summer camp.One day last week,they were paid $10 for one lawn $16 for another one ,and $18 for yet another .They put all the money together and the split in half .How much money did each boy earn that day
Click here to see answer by Cromlix(4381)  |
Question 1025720: A woman standing on the top of a hill sees a flagpole that she knows is 14 meter tall. The angle of depression to the bottom of the pole is 7 degrees and the angle of elevation to the top of the pole is 35 degrees.
1. Find her distance from the flag pole.
2. Given that the flag pole is placed on the same ground level as the hill and the woman is 1.73 meter tall. How high is the hill?
Click here to see answer by Theo(13342)  |
Question 1025906: Jerry Frank and Scott share food expenses each month because he eats only one meal a day at home. Jerry pay $75 less each month then either Frank or Scott. Scott and Frank paid equal amounts. If last month's total bill came to $411 what was Jerry share?
Click here to see answer by addingup(3677)  |
Question 1025906: Jerry Frank and Scott share food expenses each month because he eats only one meal a day at home. Jerry pay $75 less each month then either Frank or Scott. Scott and Frank paid equal amounts. If last month's total bill came to $411 what was Jerry share?
Click here to see answer by MathTherapy(10551)  |
Question 1025897: A total of m matches are needed to fill 30 match boxes with the same number of matches in each box
How many matches are in each box?
If 3 fewer matches are put into each box , there are enough for 32 boxes .What is the value of m?
Click here to see answer by mananth(16946)  |
Question 1025878: There are 364 identical plastic chips numbered 1 through 364 in a box.
What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 204? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
Click here to see answer by Fombitz(32388)  |
Question 1025683: write an equation in the form y=mx for the following situation. then give three ordered pairs associated with the equation for x- values of 0,5, and 10.
the equation is ?
what is the ordered pair when the x-value is 0?
what is the ordered pair when the x-value is 5?
what is the ordered pair when the x-value is 10?
Click here to see answer by Fombitz(32388) |
Question 1025947: Jason is shopping at a store for a shirt. He has a coupon that will reduce the original price of the shirt by $2. A 4% sales tax will be added to the reduced price. Which inequality represents all of the possible original prices, p, of shirts that will cost less than $20 after the coupon and tax are applied?
A. 0.83
B. O.83 with 3 repeating
C. 1.2
D. 1.2 with 2 repeating
I'm a 7th grade math tutor & I've tried drawing a tape diagram, solving this with a negative coefficient due to the fact that the originAl price of the shirt doesn't make sense to be less than any of the above values.
Thanks in advance
Click here to see answer by Theo(13342) |
Question 1026025: The superior jumpdrive company sells jump drives for $10 each. Manufacturing cost is $2.60 per jump drive; marketing costs are $2.40 per jump; and royalty payments are 20% of the selling price. The fixed cost of preparing the jump drive is $18000. Capacity is 15000 jump drives.
Compute the breakeven point graphically & by using the conrtibution margin approach
Click here to see answer by Theo(13342) |
Question 1026032: A person was in charge of ordering 38 pizzas for the office party. He ordered three types of pizza: cheese pepperoni and supreme. the cheese pizza cost $6 each the pepperoni cost $9 each and the supreme pizza's cost $12 each. He spent exactly twice as much on the pepperoni pizza's as he did on the cheese pizza's. If the person spent a total of $336 on pizza how many of each type did he buy?
Click here to see answer by josgarithmetic(39616) |
Question 1026179: You and your friend collect 180 cans for a food drive. The ratio of cans you collected to cans your friend collected is 4 to 5. Use the tape diagram to find how many cans you collected.
I need this answer to night
Click here to see answer by ikleyn(52776) |
Question 1026177: How to solve this related rates problem:
We launch a rocket from 5km away and track the ascent with a telescope. The rocket ascends at a rate of 500 m/s. How fast is the angle between the telescope and the ground increasing 30 seconds into the launch?
Please show how to set up and solve.
Thank you
Click here to see answer by Alan3354(69443) |
Question 1026190: Fertilizer with weed control costing $36 per 50-pound bag is to be mixed with a less expensive fertilizer costing $8 per 50-pound bag to make 14 bags of fertilizer that can be sold for $28 per bag. How many bags of cheaper fertilizer should be used?
Click here to see answer by stanbon(75887) |
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