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

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Question 928949: the national debt of a small country is 7,490,000,000 and the population is 2,865,000. what is the amount of debt per person . express the answer in scientific notation to two decimal places
Click here to see answer by ewatrrr(24785)

Question 928960: y varies directly with x. If y is -32 when x is 4, find x when y is -40
Click here to see answer by MathLover1(20849)

Question 928936: A petroleum company has two different sources of crude oil. The first source provides crude oil that is 45% hydrocarbons, and the second one provides crude oil that is
95% hydrocarbons. In order to obtain 140 gallons of crude oil that is 55% hydrocarbons, how many gallons of crude oil must be used from each of the two sources?
Click here to see answer by TimothyLamb(4379)

Question 928916: a machine can manufacture 1800 pencils in 30 minutes at this same rate how many minutes will it take to manufacture 3000 pencils
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Question 928980: N% of 42 is 23. To the nearest thousandths N=______
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Question 928971: Max wants a used car. He finds a deal for a Maxima at a total of $4200 if he can put 8.5% down and his equal monthly payments would be complete in one year. Max thinks it over and pays the down payment. How much are his monthly payments?
Click here to see answer by TimothyLamb(4379)

Question 929000: How much 12% acid solution and pure water must be mixed to produce 228 gallons of a mixture that is 7% acid?

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Question 928998: How much 12% acid solution and pure water must be mixed to produce 228 gallons of a mixture that is 7% acid?

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Question 929026: Two boys in a boat with a small motor are able to travel 2 mph faster with the current than in still water. If they travel with the current from a dock to their campground in 2 hours and make the return trip against the current in 3 hours, how fast are the boys able to travel in still water?
Click here to see answer by TimothyLamb(4379)

Question 929112: Tutor please help me with this problem (3/7+2/3)+1/3=
Click here to see answer by TimothyLamb(4379)

Question 929110: What is the height (one of the legs) and the hypotenuse of an isosceles right triangle that has an area of 800 square feet?
Click here to see answer by josgarithmetic(39616)

Question 929110: What is the height (one of the legs) and the hypotenuse of an isosceles right triangle that has an area of 800 square feet?
Click here to see answer by MathTherapy(10551)

Question 929217: during the first part of a trip a canoeist travels 24 miles at a certain speed. The canoeist travels 7 miles on the second part of the trip at a speed 5 miles per hour slower. The total time for the trip is 3 hours . What was the speed for each part of the trip?
Click here to see answer by TimothyLamb(4379)

Question 929329: Jimmy, joe and Sally are racing their cars. Jimmy and joe have completed the same number of laps, six fewer than Sally. If the total number of completed laps is 222, how many laps has each of the three racers completed
Click here to see answer by ewatrrr(24785)

Question 929357: when 7 students went for a trip they found a hotel of 3 rooms 1 for 1 person ,2 for 2 people,3 for 3 people if one sleep in the car .how many ways can they be assigned
Click here to see answer by ewatrrr(24785)

Question 929372: The sequence 48,a,b,c,d, 150000,.... Is a geometric sequence. Find c.
Click here to see answer by ewatrrr(24785)

Question 929371: Find the sum of all numbers in the following array. 35+40+45+...+3000
Click here to see answer by ewatrrr(24785)

Question 929369: Find the first two terms of an arithmetic sequence in which the fourth term is -8 and the 101st term is -396?
Click here to see answer by ewatrrr(24785)

Question 929382: using pascal triangle to solve (1+x^3)^3 and expand
Click here to see answer by stanbon(75887)

Question 929389: last night the temperature was -5�f. temperature dropped 12�f this afternoon. what was the new temperature?
Click here to see answer by ewatrrr(24785)

Question 929394: In January the value of one share of a certain stock was $45. During the next three days, the value rose $5 1/4, fell $2 1/2, and fell $1 1/4. What was the value of one share at the end of those three days?
Click here to see answer by TimothyLamb(4379)

Question 929391: Find the difference in altitude between a mountain 5436 feet high and a gorge 213 feet below sea level.
Click here to see answer by TimothyLamb(4379)

Question 929410: Jackie and Mike drove 440 miles through the united states and 146 kilometers through Canada. How many kilometers did they travel in total?
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Question 929367: For a particular event, 362 tickets were sold for a total of $1912. if students paid $4 per ticket and non-students paid $6 per ticket, how many student tickets are sold

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Question 929373: The intensity of the light from an object varies inversely with the square of the distance. Two stars give off the same amount of light. However from earth their intensities differ. Let I1 and I2 be there intensities and let d1 and d2 be their respective distances from earth. What is the ratio of d2 to d1?
Click here to see answer by TimothyLamb(4379)

Question 929441: 2000 tickets were sold at the ASU Thanksgiving Homecoming game. Student tickets cost $10 and non-student tickets cost $20.00. A total of $35,000 was collected. How many of each type of ticket were sold?
Click here to see answer by TimothyLamb(4379)

Question 929561: The second angle of a triangle is 5� smaller than the first. The third angle is triple the size of the first angle. Use the letter F
Click here to see answer by sunny1992(35)

Question 929586: Mildred cut a 9 foot board into two pieces. The long piece is twice as long as the short one. How long is the short one?
Click here to see answer by Alan3354(69443)

Question 929659: i don't know how to solve this problem
a garden that is 4 meters wide and 6 meters long is to have a uniform border such that the area of the border is the same as the area of the garden. find the width

Click here to see answer by josgarithmetic(39616)

Question 929680: This is a money and mixture problem. (Sorry couldn't find an option with both).
I've tried to set it up, but I believe its wrong.
Please assist me; Two kinds of candy were combined to make 50 lb of a mixture. The less expensive candy cost 37� per pound and the more expensive cost 45� per pound. If the total mixture was worth 40� per pound, how many pounds of each kind of candy were used.
My equation was : L+M=50
37L+45M=2,000
Please help me with my problem!
Click here to see answer by josgarithmetic(39616)

Question 929770: A school receives a shipment of books. There are 60 cartons, and each carton weighs 42 pounds. The school's elevator can hold 2200 pounds. what is the greatest number of cartons that can be carried on the elevator at one time if no people ride with them? Write and solve and algebraic inequality. Then explain the solution.
Click here to see answer by josgarithmetic(39616)

Question 929760: Please help me solve this word problem.
The numerator and denominator of a fraction are in 3:2 ratio. If 3 is subtracted from the denominator of the reciprocal of the fraction, the ratio of the numerator of the resulting fraction to its denominator is 8 :11. Find the original fraction.

Click here to see answer by MathTherapy(10551)

Question 929845: On a class trip to a very tall building, the class rode up several floors then rode down 20 floors, rode up 68 floors, rode up 68 floor, rode down 87 floors and ended up on the first floor. How many floors does the building has, if the class actually reach the top floor?
Click here to see answer by stanbon(75887)

Question 929559: a pizza parlor offers 4 sizes of pizza (small,large,medium,and colossus),two types of crust(thin and thick), and 14 different toppings.how many different pizza can be made with these choices
Click here to see answer by Fombitz(32388)

Question 929944: In the summer of 2010, Mr.Butler purchased a pre-owned Ford Expedition that averaged 12.1 miles per gallon. In June 2013 the transmission needed to be rebuild at a cost of $3200. After the transmission was rebuilt the average gas mileage increased to 13.4 miles per gallon. Assuming the cost of gas is $3.50 per gallon, how many miles must be driven for the gas savings to be the same as the cost of the transmission?
Click here to see answer by TimothyLamb(4379)

Question 929950: A random sample of 16 men who have a mean height of 67.5 inches with a standard deviation of 3.6 inches. Construct a 99% confidence interval for the population standard deviation σ.
Click here to see answer by ewatrrr(24785)

Question 929968: Manuel invested his savings in two investment funds. The $12,000 that he invested in Fund A returned a 1% profit. The amount that he invested in Fund B returned a 5% profit. How much did he invest in Fund B, if both funds together returned a 2% profit?
Click here to see answer by TimothyLamb(4379)

Question 930126: Rachel invested her savings in two investment funds. The amount she invested in Fund A was 4 times as much as the amount she invested in Fund B. Fund A returned a 7% profit and Fund B returned a 6% profit. How much did she invest in Fund B, if the total profit from the two funds together was $2720?
Click here to see answer by TimothyLamb(4379)

Question 930144: The problem is typed just as I read it in my daughters homework. What am I missing?
Dottie found 13 leaves in total, in 7 different sizes. Assuming she found the same number of leaves of each size, how many leaves did she find in each size?
Click here to see answer by TimothyLamb(4379)

Question 930292: A lawn can be mowed at an average of 44 square feet per minute. Which is closest to this rate in square yards per second?
a - 0.01
b - 0.08
c - 0.24
d - 0.31
I have done this problem multiple times and keep coming up with answer c - 0.24
It says the answer is b - 0.08
I can not figure out what I am doing wrong and how they got that answer
Click here to see answer by stanbon(75887)

Question 930229: The number of bacteria in a culture is given by the function
n(t)=995 e^(0.3 t)
where t is measured in hours.
a) what is the relative growth rate of this bacterium population?
b) what is the initial population of the culture?
c) How many bacteria will the culture contain at time t=5?
Click here to see answer by ewatrrr(24785)

Question 930228: A web-based company makes monogrammed napkins. The profit associated with producing x orders of napkins is governed by the equation:
P(x)=-x^2 + 130x -3000
Determine the range of orders the company should accept in to make a profit.
I attempted to solve this problem using the Quadratic Formula. My results were x= -25 and x= 150. The solution given: 30
Click here to see answer by stanbon(75887)

Question 930432: Please help me solve this: A penny is thrown up in the air from a building. Its height in feet after x seconds is given by:
a) when does it reach it's max height?
b) what is its max height?
c) when does it hit the ground?
For (c) I started to solve it with the quadratic formula but wasn't getting a sensible answer. I'm not sure how to set up the other two.

Click here to see answer by Alan3354(69443)

Question 930447: David's company has to ship 4,800 boxes of sprinklers. if a truck can hold how many trucks does he need to ship all of the boxes
Click here to see answer by stanbon(75887)

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