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

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Question 123166: the sum of the digits in a two digit number is 17. if the digits are reversed, the new number will be 9 less than the original number. what is the original number?
Click here to see answer by scott8148(6628)

Question 123283: Julio needs to draw a line 15 cm long. He does not have a ruler. He does have several sheets of paper that measure 28.0 cm by 21.5 cm. How can he use these papers to draw his 15 cm line?
Click here to see answer by Edwin McCravy(8893)

Question 123371: I am stuck on this question
The average price of a new house is 112% of what it was five years ago. If the average price of a new house this year is $125,000, what was the average price five years ago?
Click here to see answer by Fombitz(13828)

Question 123368: I am stuck on this question
In the United State there are 132 million people in the labor force. If 54% of the labor force is male, find the number of workers who are female.
Click here to see answer by Fombitz(13828)

Question 123369: I am stuck on this question
58.3% of driver`s license exams resulted in a passing mark. If the records show that 8370 new drivers licenses were issued, how many applicants were there?
Click here to see answer by ilana(307)

Question 123447: Jackie mows a strip of uniform width around her 25m by 15m rectangular lawn and leaves a patch of lawn that is 60% of the original area. What is the width of the strip?
Click here to see answer by ankor@dixie-net.com(15645)

Question 123452: The sum of the squares of two consecutive positive integers is 685. Find the integers.
Click here to see answer by scott8148(6628)

Question 123535: A purchase of 5 oranges and 6 bananas is 2.05 and a purchase of 7 oranges and 8 bananas is 2.79. What is the cost of each orange?
Click here to see answer by stanbon(57282)

Question 123552: The difference between the measures of 2 complementary angles is 36 degreees.Find both angle measures.(Hint:2 angles are complementary if the sum of their measures is 90 degrees.)LINEAR EQUATIONSSS!
Click here to see answer by rajagopalan(158)

Question 123636: Mrs. Jones would take 6 hours less time than her daughter to can all the tomatoes from their garden. Together they could do the job in 1/3 the time it would take the daughter alone. How long would Mrs. Jones take to can the tomatoes by herself?
___hrs
Click here to see answer by edjones(7569)

Question 123683: i have a total of 47,000 products shipped out over the past 3 years. out of that 47,000 i have had a total of 282 defects. what would be the average ratio of number of defects per 1,000 products shipped over the past 3 years?
Click here to see answer by checkley71(8403)

Question 123741: I have been struggling with this problem and I was wondering if someone could help me? I would deeply appreciate it. Please and Thank You!!!

Solve by using a system of two equations in two variables.
Gretchen paddles a canoe upstream at 3mi/h. Traveling downstream, she travels at 8mi/h. What is Gretchen's paddling rate in still water and what is the rate of the current?
Click here to see answer by scott8148(6628)

Question 123846: The 14 digits of a credit card are written in the boxes shown. If the sum of any three consecutive digits is 20, what is the value of A?
A _ 7 _ _ _ _ _ _ _ _ 7 _ 4
Click here to see answer by solver91311(16872)

Question 123792: a developer purchased 70 acres of land for 900000 dollars. if part costs 20000 dollars per acre and the remainder cost 10000 per acre how many acres did the developer buy at each price.
Click here to see answer by PBMathandscience(9)

Question 123844: This problem has an a. part and a b. part.
11a. Place the digits 1,2,4,5 and 7 in the following boxes so that in (i) the greatest product is obtained and in (ii) the greatest quotient is obtained:
(i)_ _ _ (ii) _ _ / _ _ _
x _ _
__________

b. Use the same digits as in (a) to obtain (i) the least product and (ii) the least quotient.

Click here to see answer by solver91311(16872)

Question 123920: The difference of two numbers is 62. The second is 4 less than 4 times the first. What are the two numbers?
Click here to see answer by checkley71(8403)

Question 123939: help me please!!!!!This is for a test!!!!!
How do you get the answer!!!!!

A small flare is launched off the deck of a ship. The height of the flare above the water is given by h(t)=-4.9^2+92t+9, where h(t) is measured in metres and t is time is seconds

a)When will the flare's height be 150m?
b)How long will the flare's height be about 150m?

The answer for a) should be 1.7s and 17.1s
The answer for b) should be 15.4s
But i don't know the process to get to this answer
Click here to see answer by Earlsdon(6287)

Question 123963:

– 5[1 – 7] ÷ (-6) + 1
im not sure how to solve this i did it on a scientific cal. and i got -4 and i had a friend do it and she got 5 and 4 6ths. i when i do it and work it out i get 2 so any help would be appreciated.
Click here to see answer by checkley71(8403)

Question 124041: Critical thinking
Suppose A is a whole number and B is an irrational number. Is it possible for the product of AB to be a rational number? Explain why or why not?

Click here to see answer by solver91311(16872)

Question 123462: The profit function for a business is given by the equation P(x)=-4x^2+16x-7, where x is the number sold, in thousands, and P(x) is dollars in thousands. Find the maximum profit and how many items must be sold to achieve it.
Click here to see answer by solver91311(16872)

Question 124115: Apples are collected in a basket for six people. One-third, one-fourth, one-eighth and one-fifth are given to four people, respectively. The fifth person gets ten apples with one apple remaining for the sixth person. Find the original number of apples in the basket.

Click here to see answer by chitra(359)

Question 124212: TWICE ONE NUMBER PLUS A SECOND NUMBER IS 42, AND THE NUMBER MINUS THE SECOND NUMBER IS 6. FIND THE NUMBERS.
Click here to see answer by madhan_math(34)

Question 124225: A GROCER MIXED GRAPE JUICE AT $2.25 PER GALLON WITH CRANBERRY JUICE AT $1.75 PER GALLON. HOW MANY GALLONS OF EACH SHOULD BE USED TO MAKE 20 GALLONS OF CRANBERRY/GRAPE JUICE WHICH WILL COST $2.10 PER GALLON?
Click here to see answer by Earlsdon(6287)

Question 124244: A student has test scores of 90, 74, 82, and 90. The next test in the fianl examination, which will count as two test. What score does the student need on the final examination to produce an average score of 85
Click here to see answer by stanbon(57282)

Question 124251: I really need help solving this word problem?
If the pressure of a gas is constant, then the volume of an enclosed gas varies directly as the absolute temperature. Given that a 3.46 liter sample of neon gas has a pressure of 0.926 atmoshperes at temperature 301 degrees K, use a power formula to calculate the volume of this sample at 338 degrees K assuming the pressure does not change. You do not need to use the pressure as part of your formula.
My answer options are:
A.3.46 liters
B.3.87 liters
c.4.21 liters
D.4.85 liters
Please help me, I'm real stumped. I don't understand this problem. Thanks
Click here to see answer by scott8148(6628)

Question 124262: A KELLY BOUGHT 2 TACOS AND 3 ENCHILLADAS. FRED BOUGHT 3 TACOS AND 5 ENCHILLADAS. ONE BILL IS $7.80 THE OTHER IS $12.70. HOW MUCH WAS EACH TACO AND ECHILLADA ?
Click here to see answer by edjones(7569)

Question 124084: The rectangular ground floor of the John Hancock building has a perimeter of 860 ft. The length is 100ft more than the width. Find the length and width.
Click here to see answer by ankor@dixie-net.com(15645)

Question 124214: A TEST IS WORTH 150 PTS. THERE ARE 46 3 AND 5 PT QUESTIONS. HOW MANY OF EACH IS ON THE TEST?
Click here to see answer by edjones(7569)

Question 124296: A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula below provided that 0 ≤ x ≤ 200.
P=1/10(x)(300-x)

How many ovens must be manufactured in a given week to generate a profit of $2217.60? (If there is only one answer, write it twice.)
_______________ (ovens smaller answer)
_______________ (ovens larger answer)

I don't even know how to go about this problem. Please help!!
Click here to see answer by stanbon(57282)

Question 124283: Certain bunny rabbits reproduce at a continuous rate of 200% a year. Assuming that a warren starts with 10 bunny rabbits calculate the number of rabbits after 3 years (assume none of the bunny rabbits meet with misadventure).
A 6072
B 4034
C 32
D 561
E 23
F 123
I've been stuck on this question for awhile because im not sure where to start. If someone could walk me through the steps and show me where to plug everything in and the correct answer I would very much appreciate it. Thank you for your time.

Click here to see answer by scott8148(6628)

Question 124439: The equation h=-16t^2-32t+320
Give the height of a ball, thrown donward from top of a 320ft. Building with an initial velocity of 32ft/s. Find the time it takes for the ball to reach a height of 64ft.
Click here to see answer by checkley71(8403)

Question 124440:
Solve the following equation for 'x'.
2(x+1)^2+x=-1
Click here to see answer by checkley71(8403)

Question 124435:
Solve by using the quadratic formula - (x-3)(x+2)=5
Click here to see answer by checkley71(8403)

Question 124227: Hello Tutors,
can you help me please with the problem?.
Winter wheat. while finding the amount of of seed needed to plans his tree square wheat fields, Hank observed that the side of one fields was 1 kilometers longer than the side of the smallest field and that the side of the largest fields was 3 kilometers longer than the side of the smallest field.. If the trotal area of the three field is 38 square kilometers, then what is the area of each field?
Click here to see answer by ankor@dixie-net.com(15645)

Question 124452: Avoiding a collision. A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car’s new collision detector wars the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing?
Thank you for you help...
Click here to see answer by checkley71(8403)

Question 124437: The length of a rectangle is 5cm more than its width. If the area of the rectangle is 70cm^2, find the dimensions.
Click here to see answer by checkley71(8403)

Question 124484: 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
Click here to see answer by stanbon(57282)

Question 124539: The number N, in millions, of hearing impaired individuals of age x can be approximated by:
N = -0.00006x^3 + 0.006x^2 - 0.1x + 1.3
Approximate to the nearest million the number of hearing impaired individuals of ages 50 - 60.
N = (squiggly lines) ___________ million individuals of age 50.
N = (squiggly lines) ___________ million individuals of age 60.
Please help, I submitted this yesterday and noone seemed to have answered. I tried calculating and kept coming up with 0 and that can't be the answer.
Thank you!
Click here to see answer by Earlsdon(6287)

Question 124303: The number N, in millions, of hearing impaired individuals of age x can be approximated by N = -0.00006x^3 + 0.006x^2 - 0.1x +1.3
Approximate to the nearest million the number of hearing impaired individuals of ages 50 - 60.
N = ____ million individuals of age 50.
N = ____ million individuals of age 60.
Can you help? This is not from a textbook.
Click here to see answer by ankor@dixie-net.com(15645)

Question 124474: A home based company produces both hand-knitted scarves and sweaters .the scarves take 2 hours of labor to produce and the sweaters take 14 hours.the labor available is limited to 40 hours per week and the total production capacity is 5 items per week.write a system of inequalities representing this situation,where x is the number of scarves and the y is the number of sweaters.Then grtaph the inequalities.
Click here to see answer by ankor@dixie-net.com(15645)

Question 124524: How many litrs of 20% alcohol solution must be mixed with a 60% solution to obtain 40 litres of a 35% solution?
Click here to see answer by checkley71(8403)

Question 124522: Solve.
Mark drove 150 miles to visit Sandra. Returning by a shorten route, he found that the trip was only 130 miles, but traffic slowed his speed by 6 miles. If the two trips took exactly the same time, what was his rate on the return trip?
Click here to see answer by scott8148(6628)

Question 124664: Solve.
If a ball thrown vertically upward from a height of 64 feet, with an initial velocity of 48 ft/s, its height(h) after (t) second is given by
h= - 16t squared + 48t + 64. How long does it take the ball to return to the ground?
Click here to see answer by stanbon(57282)

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