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

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Question 239277: Can someone please help me with this? I need to have it done before tomorrow. Thanks in advance.
Stephanie, the Team Manager of a soccer team, purchases many soccer balls from a retailer and sells them to all the players at her soccer club at a price of x dollars each. She can sell 600 – 15x balls per week. Find a polynomial that represents the weekly revenue for the balls. Find the revenue for a week in which the price is $12 per ball. Use the parabolic graph to illustrate the law of diminishing return, if it occurs in this case. In order for Stephanie to receive the maximum weekly revenue, how would you, as Business Manager, recommend for the price per ball?
Click here to see answer by stanbon(57387)

Question 239339: The length of the minute hand of a clock is 5 cm. Find the area swept by the
minute hand during the time period 6 : 05 a m and 6 : 40 a m.
Click here to see answer by vleith(2825)

Question 239606: I have 5 pictures, picture "A" must remain in the center. How many possible combinations/arrangements can be made with the four other pictures (b, c, d, e)?
Click here to see answer by solver91311(16897)

Question 239543: a house has 2 rooms of equal area. 1 room is square and the other is a rectangle 4 ft narrower and 5 ft longer than the square one. find the area of each room.

Click here to see answer by checkley77(12569)

Question 239747: Two houses on the same side of the street have house numbers that are consecutive even integers. The sum of the integers is 58. What are the two house numbers?
Click here to see answer by Theo(3464)

Question 239811: I need help with this problem.
In order for a chemical reaction to take place, the Fahrenheit temperature of the reagents must be at least 184.49ºF. Find the Celsius temperatures at which the reaction may occur. Use C =
Click here to see answer by College Student(505)

Question 239895: Find the sum of 40 percent of 1/4 and 50 percent of 1/5.
Click here to see answer by RAY100(1637)

Question 239952: Suppose you tie a rope around the earth at the equator (circumference approx. 25,000 miles). Let's say you pull the rope as tight as it will go and then add back 6 feet of slack before tying the knot. If the extra rope is distributed evenly around the globe will there be enough space between the rope and the surface of the earth for a worm to crawl under? Assume the earth is a perfect sphere and the rope does not stretch.
Click here to see answer by ankor@dixie-net.com(15660)

Question 240105: A wire is used to anchor a 20 foot high pole. One end of the wire is attached to the top of the pole. The other end is fastened to a stake five feet away from the bottom of the pole. Find the length of the wirse, to the nearest tenth of a foot.

Can someone help me? - not sure how to start the problem....thank you.
Click here to see answer by solver91311(16897)

Question 239892: Two joggers are running around an oval track in opposite directions. One jogger runs around the track in 56 seconds. The joggers meet every 24 seconds. How many seconds does it take for the second jogger to run around the track?
Click here to see answer by ankor@dixie-net.com(15660)

Question 240136: Film with a width of 35 millimeters is projected onto a screen where the width is 5 meters. What is the scale factor of this enlargement?
Click here to see answer by Alan3354(30993)

Question 240234: Find the number of revolutions made by a circular wheel of area 1.54 m2 in
rolling a distance of 176 m.
Click here to see answer by vleith(2825)

Question 240249: A bag contains five red marbles, three green marbles, and four blue marbles. How many green marbles must be added to the bag so that the probability of drawing a green marble is 3/4?
Click here to see answer by Theo(3464)

Question 240250: The four children in the Dempsey family have a combined age of 25 years. Jennifer’s oldest brother is six times as old as she is. Her next-to-oldest brother is 5 years older than she is, and the youngest of her brothers is twice Jennifer’s age. How old is each of the Dempsey children?
Click here to see answer by ankor@dixie-net.com(15660)

Question 240232: Veronica High School has 85 seniors, each of whom plays on at least one of the school’s three varsity sports teams: football, baseball, and lacrosse. It so happens that 74 are on the football team; 26 are on the baseball team; 17 are on both the football and lacrosse teams; 18 are on both the baseball and football teams; and 13 are on both the baseball and lacrosse teams. Compute the number of seniors playing all three sports, given that twice this number are members of the lacrosse team.

Click here to see answer by Theo(3464)

Question 240450: the sum of a number and 24 is equal to 4 times the number. what is the number
Click here to see answer by checkley77(12569)

Question 240608: Radioactive element R decays exponentially at a rate of 4% per year. If we begin with 5 grams of R, how long (to the nearest tenth of a year) will it take for only 3 grams to remain?
I started with the A=Aoe^rt where A=3 Ao=5 r=0.04 and t is what I needed to find. I then to ln3=ln5+0.04tlne. Then I got the 0.04t=(ln3-ln5)/lne....
Click here to see answer by scott8148(6628)

Question 240745: i have a problem with an i in it and i wanted to know what these types of problems are called. here is an example:
1.) -7i+12i
(its not the ones where you would get 5i because im not talking about that way)
i hope me giving you a heads up helps
Click here to see answer by edjones(7569)

Question 240830: a cathedral tower 200 feet high is 250 feet from a chruch tower 150 feet high. On top of each tower is a pigeon. The two pigeons fly off at the same time and at the same speed directly to some grain on the level straight road between the towers. The pigeons reach the grain at the same time.
How far is the grain from the foot of the cathedral tower?
Click here to see answer by solver91311(16897)

Question 240920: Give an example of the sum of two binomials that has four terms.
Can the sum of two binomials have more than four terms?
Click here to see answer by stanbon(57387)

Question 240918: Give an example of the sum of two binomials that is a trinomial.
Click here to see answer by edjones(7569)

Question 241051: At 7:29 a.m. the temperature was -4 degrees F; at 7:32 a.m. the temperature was 45 degrees F. What was the average rate of change in temperature (per minute)?
A) 16.3 B) 49 C) -16.3 D) 24.5
Click here to see answer by checkley77(12569)

Question 241084: A closed box is to be a rectangular solid with a square base and a volume of 12 cubic feet. Find the most economical dimensions if the top of the box is twice as expensive as the sides and the bottom?
Click here to see answer by ankor@dixie-net.com(15660)

Question 241163: 4 more than 3
how would i right that
4+3?
Click here to see answer by edjones(7569)

Question 241178: I have literally spent an entire day on this question. I think that it must be an inequality and some division must take place, but I am unable to find the solution. Here is the question:
A car rental company has two rental rates. Rate 1 is $63 per day plus .18 per mile. Rate 2 is $126 per day and .09 per mile. If you plan to rent a car for one week, how many miles would you need to drive to pay less by taking rate 2?
Any help is greatly appreciated.
Click here to see answer by scott8148(6628)

Question 241238: How many centimeters equal one kilometer?
Click here to see answer by unlockmath(1603)

Question 241175: Reconciling remainders. Find a positive integer smaller
than 500 that has a remainder of 3 when divided by 5, a
remainder of 6 when divided by 9, and a remainder of 8
when divided by 11.
Click here to see answer by ankor@dixie-net.com(15660)

Question 241524: Data Publishers has two printers. Printer A prints 300 pages per hour, and Printer B prints 275 pages per hour. On a job totaling 19,000 pages, how long must Printer B run to complete the job if Printer A runs 12 hours?
Click here to see answer by checkley77(12569)

Question 241631: A vendor sells hot dogs and bags of potato chips. A customer buys 5 hot dogs and 3 bags of potato chips for $17.00. Another customer buys 3 hot dogs and 2 bags of potato chips for $10.50. Find the cost of each item.
Click here to see answer by stanbon(57387)

Question 241632: Two numbers total 2, and their difference is 16. Find the two numbers.
Click here to see answer by unlockmath(1603)

Question 241793: rogers age is 1 1/3 times stevens age. eight years ago,rogers age was twixce stevens age. find rogers age.
Click here to see answer by stanbon(57387)

Question 241750: Two angles are complementary. Twice one angle plus the other is 143 degrees. Find the measure of each angle.
Click here to see answer by checkley77(12569)

Question 241748: A flat rectangular piece of aluminum has a perimeter of 64 inches. The length is 8 inches longer than the width. Find the width.
Click here to see answer by checkley77(12569)

Question 241814: For breakfast we have options for a Big Breakfast:
egss (fried, poached, scrambled, overeasy)
potatoes or grits
toast is white wheat or muffin
meat is sausage ham or bacon
juice is orange grapefruit tomato apricot grape or apple
how many different big breakfasts are there?
Click here to see answer by checkley77(12569)

Question 241855: the difference of two numbers is tripled. the result is decreased by 1. if the lesser of the two values is 4, the result is 8.3. find the greatest number.
please?
Click here to see answer by College Student(505)

Question 239858: I came across this problem and had a mind blank on how to figure it out. But then as I read it, I began to think that it was just one of those questions that was suppose to seem like it was sort of hard, yet not, all the same. But here is the question:
"In China each calender year is given one of 12 names, which rotate year after year. The year 2000 was the year of the Dragon. The year 2001 was the year of the Snake. The subsequent ten years are, in order, the years of the Horse, Sheep, Monkey, Rooster, Dog, Bear, Rat, Ox, Tiger, and Rabbit. After the year of the Rabbit, the year of the Dragon will occur again, and then the whole cycle will repeat. What will the year 3000 be?"
Won't the year 3000 be the same as the year 2000 which was the Dragon if it's repeating in the same order every year? I feel like it's a trick question, yet it's not, but if anyone actually knows how to figure it out, please share! Much appreciated!
Click here to see answer by Alan3354(30993)

Question 241888: Bayside insurance offers two health plans. Under plan A, Giselle would have to pay the first $200 of her medical bills, plus 25% of the rest. Under plan, Giselle would pay the first $240, but only 20% of the rest. For what amount of medical bills will plan B, save Giselle money? Assume she has over $240 in bulls.
Giselle would save with plan B if she had more than__ in bills?
Click here to see answer by MRperkins(300)

Question 241880: snookers lumber can convert logsinto either lumber or plywood. In a given day, the mill turns out thre times as mny units of plywood as lumber. It makes a profit of $30 on a unit of lumber and $40 on a unit of plywood. Howmany of each must be produced and sold in orer to make a profit of $15,600?
Click here to see answer by josmiceli(9697)

Question 241957: The number of calculators produced in a certain company varies jointly as the number of workers and the time spend working. If 200 workers can produce 1000 calculators in 8 hours, how many calculators can 500 workers produce in 40 hours?

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

Question 241985: bill has 10 coins which are quarters and dimes if his quarters were dimes and his dimes were quarters the total is 30 cents more how many quarters does he has?
Click here to see answer by josmiceli(9697)

Question 242118: Can you please help me?!?!? Thanks sooo much:)
The state of alabama is about 335 miles long and 210 miles wide. what scale would you use to draw a map of alabama on 8 1/2"x11" paper to make the map as large as possible?
THANK YOU!
Click here to see answer by checkley77(12569)

Question 242059: I need help with this problem. Fencing a garden. Elka is planning a rectangular garden that is to be twice as long as it is wide. If she can afford to buy at most 180 feet of fencing, then what are the possible values for the width?
Click here to see answer by College Student(505)

Question 242337: The sum of the areas of two squares is 85. the length of a side of the larger square minus the length of a side of the smaller square is 1. Find the length of a side of each square
Click here to see answer by edjones(7569)

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