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

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Question 59635: Two semiconductor manufacturing companies decide to merge in order to reduce cost and improve productivity. Each company has high speed test machines as well as other test machines. One company has 400 chip test machines of which 20% are high speed. The combined company will have 44% high speed test machines. If the second company has 60% high speed test machines, then how many machines are there in the second company in total?

Click here to see answer by 303795(595)

Question 59307: In mountain communities, helicopters drop chemical retardents over areas which approximate the shape of an isosceles triangle having a vertex angle of 38 degrees. The angle is included by two sides, each measuring 20 feet. Find the area covered by the chemical retardant.
(Thank you, Thank you, Thank you)
Click here to see answer by 303795(595)

Question 59153: 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?
Click here to see answer by 303795(595)

Question 58875: A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?
This is what I have..Let x=original number of rows of the square grid. Since number of rows and columns are equal, then number of columns is x also. So the original area, or original number of characters of the square, is x^2. Also, 24 characters were left out, so first set up the expression for total number of characters based on this. Also, when he added one more row and column, making each x+1 now, the new area is (x+1)^2 and is short 25 characters. So get a new expression for the number of characters. Set the two expressions equal since each represents the total number of characters. Solve for x.
Click here to see answer by 303795(595)

Question 65561: Draw the appropriate graphs in each of the following.
A small firm produces both AM and AM/FM car radios. The AM radios take 15 h to produce, and the AM/FM radios take 20 h. The number of production hours is limited to 300 h per week. The plant’s capacity is limited to a total of 18 radios per week, and existing orders require that at least 4AM radios and at least 3 AM/FM radios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in, which x is the number of AM radios and y the number of AM/FM radios.

Click here to see answer by stanbon(57967)

Question 64117: Sequences Applications: Stadium Construction
A stadium has 2040 seats. The first row has 10 seats and each successive row has 4 additional seats. How may rows are there in the corner section?

Click here to see answer by venugopalramana(3286)

Question 65659: why are variables useful in algebra?
What makes the use of variables difficult to understand?
Create one statement in english representing an algebraic relationship.
Click here to see answer by checkley71(8403)

Question 65711: A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft^2, what is the width of the path?
Gosh I am so lost on this one, thank you
Click here to see answer by ptaylor(2052)

Question 65754: How would you describe a rectangular coordinate system? Explain what information is needed to locate a point in a coordinate system.
Click here to see answer by venugopalramana(3286)

Question 64731: JAckie Joyner-Kersee won the women's basketball heptathlon during the 1992 Olympics in Barcelona Spain.Her throw in the shot put, one of the seven in the hetathlon, can also be modeled by y=-0.0241x2+x+5.5 where x is the shot put's horizontal distance travled (in feet) and y is its corresponding height(In Feet). How long was Joyner-Kersee's throw?
Click here to see answer by checkley71(8403)

Question 65825: I have to create one statement in english representing an algebraic relationship?
How? I don't understand what am i suppost to do and in the book it doesn't explain it enough.can anyone give me examples or help me through it.
Click here to see answer by venugopalramana(3286)

Question 65878: A Carpernter used 26ft. of molding in three pieces to trim a garage door. If the long piece was 5 ft. longer than twice the length of each shorter piece, what is the length of the longest piece?
Click here to see answer by ptaylor(2052)

Question 65884: determine the point-slope form of the line that passes through the two points given.
(2,5),(-7,6)
Click here to see answer by checkley71(8403)

Question 65911: the question asks to create one statement in English representing an algebraic relationship.
I don't know what they mean i know that an algebraic statements is written in words and needs a verb,predicate,subject. in other words a squared plus b squared equals c squared. But i still don't get it can someone show me another example.
Click here to see answer by checkley71(8403)

Question 65968: Find three consecutive odd integers such that twice the second is 5 more than the last ?
Click here to see answer by venugopalramana(3286)

Question 66079: Another very common mistake is in the equation below:
The equation: 6x - (x + 3) = 5 + 2x
First step in solving: 6x - x + 3 = 5 + 2x
Write a clear explanation of what error has been made and what could be done to
avoid the mistake.
Click here to see answer by Cintchr(481)

Question 66078: A common mistake when solving equations is the following:
The equation: 2(x - 2) = x + 3
First step in solving: 2x-2 = x + 3
Write a clear explanation of what error has been made. What could be done to
avoid this error?
Click here to see answer by ptaylor(2052)

Question 66100: Can someone check when you have time if i am correct or if i'm wording it wrong.
Compare equations with one variable to equations with two variables. How are they alike? How are they different?

They are alike in that both equations with one variable and equations with two variables are two things that can vary. The way in which they are different is that the equation with one variable does not vary, therefore has a unique solution.
Click here to see answer by Poohbear272(22)

Question 66359: Please help me.
use the subtraction method to solve for s.
3t+5s=10
3t+ s=2
&
4s-5t=7
2s-5t=3
Click here to see answer by ankor@dixie-net.com(15746)

Question 66473: Together, a bat, a ball, and a glove cost $99.00. The bat costs $9.95 more than the ball, and the glove costs $65.45 more than the bat. How much does each cost?
THANK YOU!
Click here to see answer by ptaylor(2052)

Question 66482: The mad Dr. Frankenstein has gathered enough bits and pieces (so to speak) for 2(-1) + 2 (-2)of his creature-to-be. Write a fraction that represents the amount of his creature that must still be obtained.
*NOTE the numbers in ( ) should be the exponents but I didn't know how to show that here
Click here to see answer by ptaylor(2052)

Question 66598: a man put a pair of youngster rabbits(January 1st) in aplace surrounded by a wall. This pair of rabbits will have to wait one month to become adults before having their litter of baby rabbits. the litter of rabbits will have to wait one month before being youngster and an additional month before they are adults and have their own litter of rabbits. Assume that each new litter consists of a male and famale pair, and the rabbits never die. How many pairs of rabbits can be produced from the original pair in ayear if it is supposed that every month each pair has a new pair which from the second month on becomes productive? your results should be presented in a format that can be easily read, followed, amd understood. Explain your results.
Click here to see answer by Nate(3500)

Question 66728: 62. A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened. If both pipes are accidentially opened when the tank is full, then how long will it take to empty the tank?
Click here to see answer by stanbon(57967)

Question 66725: 1- a six passanger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind then what is the wind speed?

2- Smith bicycled 45 miles going east from Durango, and Jones bicycled 70 miles. Jones averaged 5 miles per hour more than Smith, and his trip took one-half hour than Smith's. How fast was each one traveling ?
Click here to see answer by Nate(3500)

Question 66603: The diameter AB is equal to the sum of the six smaller diameters. What is the differences in the number of the units between the circumference of the large circle and the combined circumferences of the six smaller circles? Explain in detal.
Click here to see answer by ankor@dixie-net.com(15746)

Question 66641: This is a word problem in the chapter Solving Multi-Step Linear Inequalities. Please help me understand how to solve this question. Thank you.
Each frame in an animated feature film takes at least one hour to draw. When projected, 35-millimeter film runs at 24 frames per second. A 2 1/2 hour movie has about 216,000 frames.
Write an inequality that describes the number of hours it would take to draw the frames needed for a 1 1/2 hour animated feature film.

Click here to see answer by ankor@dixie-net.com(15746)

Question 66749: The perimeter of a swimming pool is 96m. The width is 3m more than 1/2 the length of the pool. Find the width and breadth of the pool.
Click here to see answer by Nate(3500)

Question 66750: Robert is on a diet and can have 500 calories for lunch. A 30z hamburger on whole wheat has 315 calories and a 12oz soda has 145. How many french fries can he eat if there is 10 calories in each french frie?
Click here to see answer by Nate(3500)

Question 66757: Hi, I need help in figuring out the following: I need to solve the problem by using an absolute value equation or inequality.
Tom’s IQ score is more than 15 point away from Jake’s. If Jake scored 110, then in what range is Tom’s score?
Thanks in advance for any guidance provided.
Click here to see answer by rapaljer(4667)

Question 58486: hello. i'm kind of stuck on this work word problem and I was wondering if you could help me out. It says...

The fill pipe can fill a tank in 3 hours and the drain pipe can drain the tank in 1 hour. If both pipes are accidently opened, how long will it take to empty a tank filled with water?

a keep getting a negative answer, if you could explain this it would be helpful. Thanks!
Click here to see answer by 123454321(2)

Question 66822: Here is the original question and answer this is based off of: Think about a real-life situation that follows a linear equation, with the independent variable being Years. What would the slope tell you about future years?
:
A real life situation where an independent variable representing years would be in the medical field. For instance, a doctor examining an individual who smoked would show signs of damage done to the individuals lungs because of the smoking. The variable would independently represent the years the individuals smoked.
:
Now my instructor wants us to create and equation or inequality that could be used for analysis, prediction, or decision making. Then, draw a graph to depict the variables in your situation. Use your graph and what you know about linear inequalities to discuss the significance of your findings.
:
I came up with the 29 year old that has smoked for 12 years. I do not know what to do or how to do this. Help is despratley needed here. :0) Thanks.
Click here to see answer by stanbon(57967)

Question 67259: Driving down a mountain, Tom finds that he has descended 1800 ft. in elevation by the time he is 3.25 mi. horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth
Click here to see answer by stanbon(57967)

Question 67260: A greenhouse roof has 1.5 times the surface area of the floor. I want to coat both the roof and the floor with clear-coat plastic sealer. The total square footage for both is 750 sq ft. What is the square footage of the floor?
Click here to see answer by stanbon(57967)

Question 67191: The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2= pie^2L. If a child is on a swing with a 10-foot chain, then how long does it take to complete one cycle of the swing?
Click here to see answer by 303795(595)

Question 67213: A rectangular field is to be enclosed by a fence and divided into two parts by another fence. Find the maximum area that can be enclosed and seperated in this way with 800 m of fencing
Click here to see answer by ankor@dixie-net.com(15746)

Question 67317: Hello! I am a 7th grade pre-algebra student who is very confused.There is a word problem i have been trying to solve all night. Here it goes!
In the parking lot at a truck stopthere were 6 more cars than 18-wheel trucks. There were 134 wheels in the parking lot.How many cars and trucks were there?
I would greatly appreciate your help.Thank you!
~Morgan Philley~
Click here to see answer by stanbon(57967)

Question 67340: ASHANTI AND MARIA WENT TO THE STORE TO BUY SNACKS FOR THEIR BACK TO SCHOOL PARTY. THEY BOUGHT BAGS OF CHIPS,PRETZELS,NACHOS. THEY BOUGHT FOUR TIMES AS MANY BAGS OF PRETZELS AS BAGS OF CHIPS, AND THREE FEWER BAGS OF NACHOS THAN BAGS OF PRETZELS. IF x REPRESENTS THE NUMBER OF BAGS OF CHIPS THEY BROUGHT, EXPRESS, IN TERMS OF x, HOW MANY BAGS OF SNACKS THEY BROUGHT IN ALL
Click here to see answer by ankor@dixie-net.com(15746)

Question 67393: 26. A builder is adding a 20' × 28' room to an existing house. The
flooring choices are an 8" × 8" tile that costs $0.98 per tile, or a
12" × 12" tile that costs $1.98 per tile. Approximately how much
will the builder save by using the less expensive option?

Click here to see answer by checkley71(8403)

Question 67377: Imagine making a 6 digit number where each digit can only be zero or one. Explain why there are only 64 such numbers.
Click here to see answer by checkley71(8403)

Question 67445: From each of the the 4 corners of a rectangular piece of cardboard 8 inches wide, and 12 inches long, a 2 inch square is cut off.
A) What is the area of the new figure?
B) If the 4 sides of the new figure are folded straight up to form a box that is open at the top, what is the volume of this box?
Click here to see answer by Earlsdon(6294)

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