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

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Question 140562: I have been struggling on this math problem and I was wondering if anyone could help me? I would deeply appreciate it!! Please and Thank you!!
Using Several Methods of Factoring
Factor
16t^4-8t^2+1
Click here to see answer by checkley77(12569)

Question 140563: I have been struggling with this math problem and I was wondering if anyone could help me? I would deeply appreciate it!! Please and Thank you!!
Using Several Methods of Factoring
Factor
(u^2-v^2)^2-w^2(u+v)^2
Click here to see answer by checkley77(12569)

Question 140535: When the digits of a two-digit number are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 11. What is the original number?
Click here to see answer by ankor@dixie-net.com(15660)

Question 140625: Your garage measures 180 ft. by 175 ft. How many cars can you service in an eight hour day, assuming each servicing averages 2 hours, and you maintain capacity consistent with space requirements?
(space calculations for servicing automobiles are based on
Garage area required = number of vehicles to be serviced at a given time x 500 ft.2)
Click here to see answer by edjones(7569)

Question 140803: DETERMINE WHETHER THE RELATION IS A FUNCTION. {(-4,-1), (-2,1), (4,-8), (8,6)}
Click here to see answer by MathTutorer(13)

Question 140870: Find the nearest square yard, the area of a triangular plot of ground that measures 45 yards by 60 yards by 75 yards.
Click here to see answer by solver91311(16897)

Question 140905: Diameter of a circle. If teh diameter of a circle is 1.3 x 10^-12 meters, then what is it's radius.
Click here to see answer by edjones(7569)

Question 140904: Perimeter of a rectangle.
A backyard is 6x+6 yards. If the width is x yards find a binomial that represents the length.
Click here to see answer by edjones(7569)

Question 140907: Diameter of a circle. If the diameter of a circle is 1.3 x 10^-12 meters, then what is it's radius.
Click here to see answer by checkley77(12569)

Question 140968: Hey can you pleaseee help me !
Farmer Naz was carrying a basket of eggs to sell at the country market. As she was walking to the market, Mrs. Dropsy's cow startled the farmer and she dropped all of her eggs. Mrs. Dropsy felt guilty about this, so she insisted on paying for the eggs. She asked the farmer how many eggs she had, but she could not remember exactly. She did recall that when she divded the number of eggs by 2, 3, 4, or 5, there was only one egg left over, but when she took the eggs out in groups of 7, she completely emptied the basket. What was the least number of eggs in the basket?
Thanks =)
Click here to see answer by ankor@dixie-net.com(15660)

Question 140908: Perimeter of a rectangle.
A backyard is 6x+6 yards. If the width is x yards find a binomial that represents the length.
Click here to see answer by checkley77(12569)

Question 141039: Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold?
Click here to see answer by checkley77(12569)

Question 141101: When I said i could get the job done in a week, i was assuming i would have 2 more bulldozers. with the bulldozers i have, i would have the job done in 8 days. but now all my bulldozers are out of operation except 1. now I'll probably be weeks late. with all the information obtained is it possible to find out how many weeks late the engineer would be. find the result or alternatively state conclusions that would lead to the answer.
Click here to see answer by scott8148(6628)

Question 141169: What is the four-digit number (no zeros) in which the third digit (the digit in the tens place) is the number of "winds," the first digit (thousands place) is one-half of the third, the second digit (hundreds place) is double the third and the last digit (units place) is one-half the sum of the first three?
Click here to see answer by stanbon(57387)

Question 141216: I have been struggling on this math problem for awhile now and I was wondering if someone could help me? I would deeply appreciate it!! Please and Thank you!!
u^2-4v^2+3u-6v
Click here to see answer by checkley77(12569)

Question 141215: I have been struggling on this math problem and I was wondering if someone could help me? I would deeply appreciate it!! Please and Thank you!!
180x^2y-108xy^2-75x^2
Click here to see answer by checkley77(12569)

Question 141212: I have been working on this math problem and I think I got the answer, but I am not sure. I was wondering if someone could check my work and answer to see if I am right? I would deeply appreciate it!! Please and Thank you!!
Original Problem
a^2-b^2+ac-bc
The work that I did
a^2-b^2+ac-bc
(a^2-b^2)+(ac-bc)
(a-b)(a+b)-c(a+b)
(a-b-c)(a+b)
Click here to see answer by solver91311(16897)

Question 140981: Find the girth of a 55 1/2" salmon weighng 82lbs. Round to the nearest 1/2"
got this question from www.mathmotivation.com.lessons/fishformula.wmv. Can this be used as a quadratic formula? This is not from a textbook.
Click here to see answer by checkley77(12569)

Question 141304: A kitten in a litter is equally likely to be brown or black. Find the probability that both kittens in a litter are brown.
Click here to see answer by stanbon(57387)

Question 141266: Working together, Pat, Lindsay and Robin can dig a drainage ditch in 2 3/4 hours. Working alone, Robin can do it in 9 hours, while Pat can do it 1/2 hour faster than Lindsay. How long will it take Lindsay to dig the ditch by herself?
Click here to see answer by scott8148(6628)

Question 141347: A plane is flying the 3,458 mile trip from New York City to London has a 50 MPH tailwind. The flight's Point of No Return is the point at which the flight time required to return to New York is the same a the time required to continue to London. If the speed on the plane in still air is 360 MPH, how far is New York from the point of no return?
Click here to see answer by ankor@dixie-net.com(15660)

Question 141348: Phil and Phyllis are siblings. Phyllis has twice as many brothers as she has sisters. Phil has the same number of brothers as sisters. How many girls and how many boys are in the family?
Click here to see answer by ankor@dixie-net.com(15660)

Question 141373: I was hoping you could provide me some direction as to how to solve this polynomial word problem.
A polynomial in x has degree 3. The coefficient of x(with an exponent of 2) is 3 less than the coefficient of x(with an exponent of 3). The coefficient of x is three times the coefficient of x(with an exponent of 2). The remaining coefficient is 2 more than the coefficient of x(with an exponent of 3). The sum of the coefficients is -4. Find the polynomial.
Click here to see answer by ankor@dixie-net.com(15660)

Question 141401: Sorry I couldn't give an ISBN. This is from a Sample Regents i have for homework.

At the local video rental store, Jose rents two movies and three game for a total of $15.50. At the same time, Meg rents three movies and one game for a total of $12.05. How much money is needed to rent one game and one movie?
Click here to see answer by scott8148(6628)

Question 141380: An open wooden box is a cube with side x cm. The box, including its bottom, is made of wood that is 1 cm thick. Find a polynomial for the interior volume of the cube.
I think I would find the total volume first: V=(l)(w)(h) V=(xcm)(xcm)(xcm) then subtract the anterior volume of V=(x-1cm)(x-1cm)(x-1cm). Am I on the right path?
Click here to see answer by ankor@dixie-net.com(15660)

Question 141392: I so need help with this ASAP, I have been working on it for days, Algebra and I are just not getting along and I really do not want to flunk!! PLEASE HELP
thank you Beth

Buying a Home
For most people, buying a house is a great investment that can offer security in an uncertain world, but buying a house is also a commitment.
Application Practice
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
1. Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city.
a) The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floor plan #2. Write an equation that illustrates the situation.
b) The sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in part a.
c) Use the equations from part a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem.
d) What are the intercepts of the equation from part a of this problem? What are the intercepts from part b of this problem? Where would the lines intersect if you solved the system by graphing?
2. As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it.
a) The sales representative here tells you they also have two floor plans available, but they only have 38 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively.
b) The representative tells you that floor plan #1 sells for $175,000 and floor plan #2 sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in part a.
c) Use elimination to determine how many houses with each floor plan are available. Explain how you arrived at your answer.
3. You recently started the paperwork to purchase your new home, and you were just notified that you can move into the house in 2 weeks. You decide to hire a moving company, but are unsure which company to choose. You search online and are interested in contacting two companies, Heavy Lifters and Quick Move, to discuss their rates. Heavy Lifting charges an $80 fee plus $35 per hour. Quick Move charges $55 per hour with no additional fees.
a) Which mover provides a better deal for 2 hours of work? How did you arrive at your answer?
b) Which mover provides a better deal for 15 hours of work? How did you arrive at your answer?
c) For what values h (hours) does Quick Move offer the better deal? Express your answer as an inequality. Explain how you reached your answer.

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

Question 141429: Kenji has invested $420,000 to start a bagel shop in a shopping mall. He can produce a dozen bagels for $1.40. How many dozen bagels must Kenji produce before his average cos per dozen (including his initial investment of $420,000) drops to $2.80?

Is it:
A) 150,000 dozen
B) 290,000 dozen
C) 300,000 dozen
D) none of these
Click here to see answer by Adam_63(2)

Question 141568: Problem: The width of a rectangle is 3 meters less that its lenth. The area is 28 square meters. Find the lenth of the rectangle.
Click here to see answer by nabla(475)

Question 141597: A triangular sail has an area of x^2+5x+6 square meters and a height of x + 3 meters. Find the length of the sail's base.
Click here to see answer by jojo14344(1512)

Question 141598: In a study of worker efficiency at Wong Lab, it was found that the number of components assembled per hour by the average worker (t) hours afteree starting work could be modeled by the formula.
N(t)=-3t^3+23t^2+8t
a)Rewrite the formula by factoring the right-hand side completely.
b) Use the factored version of the formula to find N(3)
c) Use the accompanying graph to estimate the time at which the workers are most efficient.
d) Use the accompanying graph to estimate the maximum number of components assembled per hour during an 8-hour shift.
Click here to see answer by ankor@dixie-net.com(15660)

Question 141657: If Alan had three more goats, then he'd have one less goat than Brian.
Whereas Dave has the same number as the other three shepherds put together.
If Charlie had three less goats, he'd have exactly treple the number of Alan.
If they were evenly distributed they'd each have eleven goats. How man goats does Alan have?
Alan has________________goats
Brian has________________goats
Charlie has______________goats
Dave has_______________goats

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

Question 141833: Find a counterexample to show that the following statement is incorrect:
"The sum of any two odd numbers is divisible by 4"
If I try 1 + 5 = 6, 6/4 = 3/2, does this disprove the above statement?
Click here to see answer by jojo14344(1512)

Question 141830: Make a conjecture about the relationship between the original number and the final number in the following process.
Pick a number
Multiply the number by 12
Add 12 to the product
Divide the sum by 4
Subtract 3 from the quotient
Click here to see answer by Fombitz(13828)

Question 141854: Thanks for helping me in advance. I can`t seem to find the answer to this question. Here is the question:
You have three pieces of string, each 60 cm long. You form a circle with one piece, a square with another, and an equilateral triangle with the third piece. How do the areas of the three figures compare? Explain.
Thanks again in advance for helping!
Click here to see answer by stanbon(57387)

Question 141853: Please help me to get how to solve this problem. Thank you!
Here it is...
There are 27 white cubes assembled to form a large cube. The outside surface of the large cube is painted red. The large cube is then separated into the 27 smaller cubes. How many of the smalls cubes will have red paint on these exact number of faces: three faces, two faces, one face, and no face?
Thank you for all of your helpful tips!
Click here to see answer by scott8148(6628)

Question 141851: Please help me understand how to work this problem! Thank you so very much!
Here is the problem:

Each face of a cube can be painted red or yellow. How many different ways can you paint the cube?
Thank you sooo much in advance! It really means a lot
Click here to see answer by stanbon(57387)

Question 141852: Please help me to understand this problem! Thank you so much in advance
Here is the question...
A student weighs her hamsters two at a time. Sandy and White Ears weigh 209g together. White Ears and Sport weigh 223g together. Sandy and Sport weigh 216g together. How much does each hamster weigh?
Thanks so very very very much for helping me!
Click here to see answer by stanbon(57387)

Question 141837: The focal length f for a camera lens is related to the object distance 0 and the image distance i by the formula
l = l + l
- - -
f = 0 + i

f = 250 mm and 0 = 2,000,000

l = l + l
-------------------------
250 = 2,000,000 + i

Use the formula to findthe image distance i for an object that is 2,000,000 mm from a 250-mm telephoto lens.
Please help. I'm not sure if I have this set up correctly or how to proceed. Thank you, Anne
Click here to see answer by stanbon(57387)

Question 141947: Thanks so much in advance for helping me! Here is the problem:
You decide to purchase a new telephone. You can choose from 8 different models, 2 different cord lengths, and 4 different colors. How many possible choices do you have?
Thanks again
Click here to see answer by stanbon(57387)

Question 141945: Please help me to understand this problem. Thank you sooo very much
Here is the problem:
A lot measures 50ft by 100ft. The house on the lot measures 25ft by 50ft. What is the area of the lawn?
Thank you so much in advance
Click here to see answer by checkley77(12569)

Question 141919: Each of the three dimensions of a cube with a volume of y^3 cubic centimeters is decreased by
a whole number of centimeters. If the new volume is y^3-13y^2+54y-72 cubic centimeters and the new width is y-6 centimeters, then what are the new length and height?
Click here to see answer by ankor@dixie-net.com(15660)

Question 141921: One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides.
Click here to see answer by jojo14344(1512)

Question 142015: A set of data items is normally distributed with a mean of 60 and a standard deviation of 8. Convert 36 to a z-score
Click here to see answer by stanbon(57387)

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