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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 1170193: a farmer has 450 eggs egg cartons hold 12 eggs how many cartons dose the farmer need
Click here to see answer by josgarithmetic(39614)

Question 1170278: A portion of copper has the following description;
Length: 4 in.
Width: 2 in.
Thickness: 1/2 in.
The portion is formed into a wire 100 yards in length and uniform thickness. Determine wire diameter.
Volume of portion: 4 * 2 * .5 = 4 cu. in.
Wire length: 100 * 36 = 3600 in. (36 in. per yard).
Wire is a cylinder.
Volume of cylinder: Pi * r^2 * height (or length).
3.1416 * r^2 * 3600
Not sure how to proceed.
Click here to see answer by josgarithmetic(39614)

Question 1170319: Hi
The distance between A and B is 370k the first car leaves A to go to B at 10am at 80km per hour. Car 2 leaves from b to a at 1pm at 50kmph .
At what time do both cars meet each other.
Thanks
Click here to see answer by ankor@dixie-net.com(22740)

Question 1170331: Do not seem to be able to find the right substitutions to solve the problem.
Problem: One of the legs of a right triangle has length 4cm. Express the length of the altitude perpendicular to the hypotenuse as a function of the length of the hypotenuse? That is the question.
So I determined the following relationships from the triangle. I do not know how to draw pictures here so I will try to describe my picture. I have a right triangle with hypothenuse (h). Short side is 4cm, and the other side is side (b).
After drawing the altitude I have 2 new triangles within the original triangle. The one has side (a) the altitude and side (c) a portion of the original hypotenuse h and the new hypotenuse of the small triangle 4cm.
The other new triangle has side (h-c) other side (a), and hypotenuse (b)
So relationships I came up with from pythagorean are:
1. h^2=16+b^2
2. 16=a^2+c^2
3. b^2=(h-c)^2+a^2
My issue is no matter how I put this together I cannot get to the question "Express the length of the altitude perpendicular to the hypotenuse as a function of the length of the hypotenuse?"
Can you help me?

Click here to see answer by ikleyn(52756)

Question 1170486: Alan asks you to help him determine the appropriate price to pay for an annuity offering a retirement income of $1,000 per month for 10 years. Assume the interest rate is 6% compounded monthly.

Click here to see answer by Theo(13342)

Question 1170484: A father decided to provide $40,000 to his son on his son’s 21st birthday. How much should he deposit every six months in a savings account which pays 3.5%
Click here to see answer by ikleyn(52756)

Question 1170496: Hi
Guan heng left P and drove at 72kmph for 45 min. Then he increased his speed to 84kmph and drove for a further 40mins prior to reaching his home. His sister left P 20min earlier than him but she reached her home 25 min later.
What was his sisters average speed

Click here to see answer by Theo(13342)

Question 1170495: Hi
Two cyclists are in a race. Cyclist A completes the race in 5 hours. B covered only 60% of the race in that time. If A average speed was 5kmph faster than B
What is the length of the route
The average speed of B
Click here to see answer by htmentor(1343)

Question 1170485: A man borrowed $15,000 three years ago. The terms of loan are 10% interest for 10 years with uniform annual payments. He just made his second annual payment. How much principal does he still owe?

Click here to see answer by Theo(13342)

Question 1170548: Hi
The ratio of henry's eggs to Ivan's to Nellie's was 3;5;10 respectively. When nellie gave 56 eggs to be shared between Henry and ivan she found that the 3 had the same number of eggs.
How many eggs did Nellie have left
Thanks
Click here to see answer by ikleyn(52756)

Question 1170063: Hi
June and Kevin have some cards. If june gives Kevin half her cards Kevin will have 72 more cards than june. If June gives Kevin one sixth of her cards Kevin will have 16 less cards than June.
How many cards do they have.
Thanks
Click here to see answer by MathTherapy(10549)

Question 1170623: What is the answer to A shipment from a toy factory has a total of 65 unicycles, bicycles, and skateboards combined. The shipment had 160 total wheels. The number of bicycles wheels was the same as the number of skateboard wheels. Create and solve a system of equations to find how many each type of toy was in the shipment. Also I need to show my work.

Click here to see answer by ikleyn(52756)

Question 1170584: Megan Ada has 25 bills in 20-peso and 50-peso denominations. The total amount she has is Php 950. How many of each kind of bill does she have?
Click here to see answer by akumpo(8)

Question 1170646: A small canteen offers special meal package to their customers. The profit P that the canteen will earn at x number of customer is modeled by the function P(x) = -25x2 + 100x - 3000. How many people are needed for a profit of at least
Php5,000
Click here to see answer by ankor@dixie-net.com(22740)

Question 1170676: A pond is a half acre and is frozen over. The depth of ice covering pond is 2 in. Determine weight of ice. Ice weighs 57.4 lbs. per cu. ft.
Half acre = 21780 sq. ft.
Not sure how to solve.
Click here to see answer by MathLover1(20849)

Question 1170708: Hi
Henry spent $380 on clothes and $170 on food and gave 40% of the remainder to Janet. Then he saved the rest of his money. If he saved 30% of his original sum of money, how much did he give janet
Click here to see answer by Theo(13342)

Question 1170744: Maya purchased a prepaid phone card for $25. Long-distance calls 8 cents a minute using this card. Maya used her card only once to make a long-distance call. If the remaining credit on her card is $23.08, how many minutes did her call last?
Click here to see answer by ikleyn(52756)

Question 1170864: The population of a particular city is increasing at a rate proportional to its size. It follows the function where k is a constant and t is the time in years. If the current population is 26,000, in how many years is the population expected to be 65,000?

Click here to see answer by greenestamps(13196)

Question 1170908: Alex can pour concrete on a walkway
Click here to see answer by ikleyn(52756)

Question 1170913: Using 1 lb. of lead, and allowing 5% for waste, determine amount of shot 1/16 in. in diameter that can be produced.
Lead weighs .410 lbs. per cu. in.
Lead shot are spheres.
Sphere volume = 4/3 * pi * r^3
1.333 * 3.1416 * .03125 * .03125 * .03125 = .0001278 cu. in.
5% waste = .95 lb. remaining.
Not sure how to proceed.

Click here to see answer by Alan3354(69443)

Question 1170938: The half-life of radium is 1690 years. If 70 grams are present now, how much will be present in 830 years?
Click here to see answer by ikleyn(52756)

Question 1170963: A landlord pays for the consumption use of an appliance. The appliance uses 1000 kWh of electricity per year at a rate of 10.5 cents/kWh. The household receives a $68/month subsidy on its electricity charge. Taking the subsidy into account, what is the yearly cost for the landlord?
The first part of this calculation has been easy to figure out. However, I have been utterly stumped at how to find a way to solve the equation as a whole. I would greatly appreciate your assistance, and if you could teach me how you reach the answer that would be awesome. In gratitude .. John
Click here to see answer by math_tutor2020(3816)

Question 1171035: Hi
Amos and his sister shared $1674. Amos spent 25% and she spent 70% .after that Amos had twice as much money left as his sister.
How much did Amos have at the end.
Thanks

Click here to see answer by josgarithmetic(39614)

Question 1171084: Megan is having her yard landscaped. She obtained an estimate from two landscaping companies. Company A gave an estimate of $240 for materials and equipment rental plus $55 per hour for labor. Company B gave an estimate of $320 for materials and equipment rental plus $45 per hour for labor. Determine how many hours of labor will be required for the two companies to cost the same.

Click here to see answer by ikleyn(52756)

Question 1171100: The population of a southern city follows the exponential law. If the population doubled in size over 21 months and the current population is 30,000, what will the population be 5 years from now?
Click here to see answer by ikleyn(52756)

Question 1171116: Hi
Andrew was given a rectangular cardboard 28cm by 16cm. How many right angle triangles 4cm high base 3cm could cut out.
Thanks

Click here to see answer by MathLover1(20849)

Question 1171116: Hi
Andrew was given a rectangular cardboard 28cm by 16cm. How many right angle triangles 4cm high base 3cm could cut out.
Thanks

Click here to see answer by ikleyn(52756)

Question 1171110: I need help solving this word problem. A club swimming pool is 30 feet wide and 40 feet long. The club members want an exposed aggregate border in a strip of uniform width around the pool. They have enough material for 296 square feet. How wide can the strip be?
Click here to see answer by josgarithmetic(39614)

Question 1171111: I need help solving this word problem. A weight lifting dumbbell is dropped from a height of 80 feet. How long does it take to hit the ground?
Click here to see answer by ikleyn(52756)

Question 1171170: In an alloy of copper, tin, and lead, 16 lbs. less than 1/2 is copper; 12 lbs. less than 1/3 is tin; 4 lbs. less than 1/4 is lead. Determine weight of total alloy.
c = copper
t = tin
y = lead

c = 16 - .5
t = 12 - .333
y = 4 - .25
Not sure how to solve.
Click here to see answer by ikleyn(52756)

Question 1171171: Hi
b
Bob joe and Sam had $310.00. Joe had 3/5 of the amount Bob had.bob gave 2/5 of his money to joe. The joe gave half of what he had to sam. If sam had 4 times as much money as joe how much did Bob have at first

Thanks

Click here to see answer by ikleyn(52756)

Question 1171172: Hi
Bob Joe and Sam had $310.00. Joe had 3/5 of the amount Bob had.Bob gave 2/5 of his money to Joe. Joe then gave half of the amount he had to Sam. If Sam had 4 times as much money as Joe, how much did Bob have at first.

Thanks

Thanks

Click here to see answer by ikleyn(52756)

Question 1171173: Hi
Bob Joe and Sam had $310.00. Joe had 3/5 of the amount Bob had.Bob gave 2/5 of his money to Joe. Joe then gave half of the amount he had to Sam. If Sam had 4 times as much money as Joe, how much did Bob have at first.

Thanks

Click here to see answer by ikleyn(52756)

Question 1171188: Francis builds a fish pond for his fishes, goldfishes and a variety of carp. He decided to use two different hoses to easily fill his fish pond with water. Using together the two hoses, it takes him 12 minutes to fill the fishpond. If he used one hose, he would be able to fill the pond 10 minutes faster than the other hose. How long does it take for each hose to fill the fish pond by itself?
Click here to see answer by ikleyn(52756)

Question 1171184: The total amount of money that Jim Nancy and Nathan had was $310. Nancy has 60% of the amount Jim had. Jim gave 40% of his money to Nancy. Then she gave 50% of the amount she had to Nathan. If Nathan had 4 times as much money as Nancy, how much did Jim have at first. Thanks
Click here to see answer by ikleyn(52756)

Question 1171193: Does the function f(x) = x/x^2-1 for -2 =< x= <2 satisfy the hypothesis of the Extreme Value Theorem? Please give a reason for your answer.
Click here to see answer by ikleyn(52756)

Question 1171194: Verify that the hypotheses of the Mean Value Theorem are satisfied on the given interval and find all values c that satisfies the conclusion of the theorem if g(x) = x + 1/x, 3 =< x =< 4.
Click here to see answer by ikleyn(52756)

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