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

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Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)


Question 58584: 144. Touchdown. Suppose at the kickoff of a football at the left side of the goal line and runs for a touchdown diagonally across the field. How many yards would he run? (A football field is 100 yard long and 160 feet wide.)
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Question 58594: 80. Work. Henry sold 120 magazines subscriptions in x+2 days. If he sold at the same rate for another week, ten how many magazines did he sell in the extra week?
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Question 58654This question is from textbook
: A car is traveling on a track that is perpenicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the river that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing? This question is from textbook

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Question 58583: can someone help i can never figure out these work problems
74. Going skiing. Leon drove 270 miles to the lodge in the same time as Pat drove 330 miles to the lodge. If pat drove 10 miles per hour faster than Leon, then ho fast did each of them drive?
thank you in advance

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Question 58657This question is from textbook
: A triangular sail has an area of x^2 + 5x + 6 sq. meters and a height of x + 3 meters. Find the length of the sail's base. This question is from textbook

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Question 58652: You must leave for campus in 10 minutes or you will be late for your Algebra test. Unfortunately, you are snowed in. You can shovel the entire driveway in 15 minutes. Your brother can do it in 20 minutes. If you shovel together, how long will it take to clear the driveway?
I keep trying to use the average time but I know it isn't correct.
15+20=35/2=17.5 minutes

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Question 58655This question is from textbook
: While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 KM longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers, then what is the area of each field? This question is from textbook

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Question 58715: Telephoto lens. Use the formula 1/F=1/O + 1/I to find the image distance I for an object that is 2,000,000 mm from 250 mm telephoto lens.
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Question 58591: 104. Toxic pollutants.
The annual cost in dollars for removing P% of the toxic chemicals from a town’s water supply is given by the formula
C(p)= 5000,000/100-p
a. Use the accompanying graph to estimate the cost for removing 90% and 95% of the toxic chemicals.
b. Use the formula to determine the cost for removing 99.5% of the toxic chemical
c. What happens to the cost as the percentage of pollutants removes approaches 100%.

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Question 58757: 100. Sailboat speed. The sail area- displaced ratio S provides a measure of the sail power available to drive the boat. For a boat with a displacement of d pounds and a sail area A square feet
S=16Ad^-2/3
a. Find S to the nearest tenth for the Tartan 4100, which has a sail area of 810 square feet and a displacement of 23,245 pounds.
b. Solve the formula for d.

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Question 58760: Playgrounds are sold for p dollars each. The monthly revenue rom the sale of the model is given by R = 0.08p^2 + 300p. Revenue is the product o the price "p" and the demand (quantity sold). What is an expression for the monthly demand? What is the monthly emand for this playground when the price is $3000.
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Question 58760: Playgrounds are sold for p dollars each. The monthly revenue rom the sale of the model is given by R = 0.08p^2 + 300p. Revenue is the product o the price "p" and the demand (quantity sold). What is an expression for the monthly demand? What is the monthly emand for this playground when the price is $3000.
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Question 58756: Filling a tank. A water tank has an inlet pip and a drain pipe. a full tank can be emptied in 30 minutes if the drain is opened and as empty tank can be filled I 45 minutes with the inlet opened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank?
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Question 58755: . Big plane. A six-passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind I the same amount as it flies 5 miles against the wind, then what is the wind speed?
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Question 58814This question is from textbook college algebra
: please help me set up and solve. Thank You!
During summer vacation, Hector and Ann earned a total of $1088. Hector worked 8 days fewer than Ann and earned $2 per day less. Find the number of days he worked and the daily wage he made if the total number of days worked by both was 72.
This question is from textbook college algebra

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Question 58821: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?
This is what I have...Let x=original cost per student. Then 500/x is the original number of students. Five students failed to come. So first get the expression for the number of students that came from this information. Also, cost for each student that came increased by $5. So the x+5=new cost per student; and 500/(x+5) is the number of students that came. Set the two expressions that represent the number of that came equal and solve for x.

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Question 58918: Two boys trading baseball cards agree that 6 Will Clark cards and 3 Jose Canseco cards are worth the same to them as 2 Nolan Ryan cards. They also agree that 9 Canseco cards are worth the same as 12 Clark cards plus 2 Ryan cards. How many Canseco cards have the same value to them as 2 Ryan cards.
Can someone help me set this one up and solve it? Thank you.

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Question 58873: Steve traveled 600 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.
This is what I have...Using distance formula d=rt (distance=rate x time) here.
Let x=Steve's speed (or rate). Using distance formula d=rt and solving for time, t=d/r. So since Steve's speed is x and distance is 600 miles, then Steve's time is 600/x. Steve's trip would have been 1 hour less if his speed was 20mph faster, or x+20. Distance is still 600 miles, so Steve's faster time would have been 600/(x+20). So the equation is to take the expression for Steve's actual time, subtract 1 from that, and set equal to his faster time. Solve for x.
Im stuck now

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Question 59026: . Bear population. To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2-tagged bears. What is the conservationist estimate of the size of the bear population?
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Question 59042This question is from textbook
: Radius of a sphere. The radius of a sphere is given by the formula
r=(0.75V/pi)^1/3 where V is its volume. Find the radius of a spherical tank that has a volume of 32pi/3 cubic centimeters.
Sorry I'm stuck with this one for a couple of days. Please help. Thanks
This question is from textbook

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Question 59088: A ball is thrown straight up at an initial velocity of 53 feet per second. In the first 1.5 seconds, it travels 42 feet. The formula s= u+v t
---
2
represents the vertical distance s that an object travels in t seconds, where u represents the initail velocity of the object an dv represnts the velocity of the object at the end of t seconds. Find the velocity of the ball at the end of 1.5 seconds

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Question 59125: There were 6 more women on a committee than men. If the committee was made up of 30 people, how many men were on the committee?

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Question 59143: Hello. I hope that someone can help me out with this problem,
the question is three brick layers and four labour workers make 910$ a day. Ten brick layers and five labour workers make 1 850$.
A)find an equation for this problem, i cam up with
3x + 4y = 910
10x + 5y = 1850
i dont know if this is right, but if not can you help me find a better equation
b) Is there an advantage by eliminating one or the other variable first? Explain
c) how much does 1 brick layer make a day?
If you can help me out i would greatly appreciate it thank you so much
kim

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Question 59155: There are 850 Douglas fir and ponderosa pine trees in a section of forest bought by Sawz Logging Co. The company paid an average of $300 for each Douglas fir and $225 for each ponderosa pine. If the company paid $217,500 for the trees, how many of each kind did the company buy?
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Question 59154: Martina leaves home at 9 A.M., bicycling at a rate of 24 mi/h. Two hours later, John leaves, driving at the rate of 48 mi/h. At what time will John catch up with Martina?
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Question 59207: a farmer wants to plant 9 trees in 3 rows ,but he wants to have 4 trees in each row show how he can do this
Please answer this for me

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Question 59243: A coffee merchant has coffee beans that sells for $9 per pound and $12 per pound. The two types are to be mixed to create 100 lb. of a mixture that will sell for $11.25 per pound. How much of each type of bean should be used in the mixture?
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Question 59302This question is from textbook
: $3.50, 5 times more nickels than dimes.This question is from textbook

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Question 59298This question is from textbook
: Latisha noticed the same dimes,nickels,quarters,and half-dollars in her drawer.
The coins all total $12.60.
a)how many of each coin does she have?
b)the nickels and dimes total what amount?
c)the quarters and half-dollars total what amount?
This question is from textbook

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Question 59355: Find an equation relating the variables for each situation described.
(1) z varies directly as b, and z = 4 when b = 16
(2) s2 varies inversely as s1, and s2= -2 when s1 = 1/2
(3) y varies jointly as a and b, and y = -24 when a = 9 and b = -4
(4) m varies directly as n and inversely as p, and p = -3 and m = 1 and n = 1/2
(5) The cost of pipe is directly proportional to its length. If 6 feet of pipe costs $40, find he cost of 10 feet of pipe.
(6) The intensity of light is inversely prorportional to the square of its distance from its origin. An intensity of 100 lumens is registered at a distance of 5 feet. What is the intensity of light registered at a distance of 10 feet?

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Question 59394: Julius sold five times as many computers as Sam sold last year. In total, they sold 78 computers. How many computers did Julius sell? Write and solve the equation. Thank you
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Question 59393: This is a two step equation. The teacher wants it to have 2 different "lets" (like let x=) The question is this: In one season, Ana ran 18 races. This was four fewer races than twice the number of races Kelly ran. How many races did Kelly run?
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Question 59607: The floor of the recreation room in a house is a rectangle. The sum of its length, width, and height is 42 feet. The sum of its length and height is double its width. The area of its floor is 280 square feet. What are the dimensions of the recreation room?
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Question 59420: An object is projected upward from the top of a tower. Its distance in feet above the ground after t seconds is given by s(t)=-16t^2+64t+80. How many seconds will it take to reach ground level?
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Question 59637: A group of chemists are conducting an experiment to produce a new liquid material. One chemical contains 15% sodium (Na) and the other chemical contains 30% sodium (Na). Once they mix the two samples the resulting chemical contains 22% sodium (Na). How many mili liters (ml) of each sample must be mixed to obtain 600 ml of the new chemical?
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Question 59747: Jan observed that the lamp post in front of her house casts a shadow of length 8 feet when the angle of the inclination of the sun in 60 egrees. How tall is the lamp post? (In a 30-60-90 right angle, the side of the opposite 30 is one-half the length of the hypotenuse)
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Question 59822: can you please help me with this word problem. thank you very much
112. Swimming pool design. An architect has a designed a motel pool with in a rectangular area the is fenced on three sides. If she uses 60 yards of fencing to enclose as area of 352 square yards, then what are the dimensions for L and W? Assume L is greater than W

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Question 59822: can you please help me with this word problem. thank you very much
112. Swimming pool design. An architect has a designed a motel pool with in a rectangular area the is fenced on three sides. If she uses 60 yards of fencing to enclose as area of 352 square yards, then what are the dimensions for L and W? Assume L is greater than W

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Question 59845: 60. Maximum height. If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet id given by s(t) = 16t^2 + 32t where t time in seconds. Graph this parabola for 0 t 2. What is the maximum height reached by the ball?
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Question 59851: The attendance at a concert was 1250. Admission was $20 each for adults and $10 each for children. Total receipts were $22,500. How many adults attended?
a) 750
b) 500
c) 250
d) 1000
e) none of the above

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Question 59888This question is from textbook Elementry and Intermediate algebra
: Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what size square should be cut from each corner?This question is from textbook Elementry and Intermediate algebra

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Question 59844: 80. Diagonal brace. The width of the rectangular gate id 2 meters (m) longer than its heights. The diagonal brace measures sqrt 6 m. find the width and height.
X+2 length height x diagonal is sqrt 6 m

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Question 59889This question is from textbook Elementry and Intermediate algebra
: An artist wants her painting to be in the shape of a golden rectangle. If the length of the painting is 36 inches, then what should be the width?This question is from textbook Elementry and Intermediate algebra

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Question 59923This question is from textbook Elementry and Intermediate algebra
: I need a bit of help on this one....
It usually takes Eva 3 hours longer to do the monthly payroll than it takes Cindy. They start working on it together at 9.00 AM and at 5.00 PM they have 90% of it done. If Eva took s 2 hour lunch break while Cindy had none, then how much longer will it take for them to finish the payroll working together?
This question is from textbook Elementry and Intermediate algebra

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Question 59885This question is from textbook Elementry and Intermediate algebra
: Help...I am drowning in this pool question....
Tropical pools figures that its monthly revenue on the sale of ‘x’ pools is given by R = 1500x – 3x2 where ‘x’ is less than 25. What number of pools sold will provide revenue of $17,568?
This question is from textbook Elementry and Intermediate algebra

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