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Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)
Question 34125: A total of $15,000 is deposited into two simple interest accounts. The annual interest rate in one account is 14% and annual interest rate in the second account is 10%. How much must be invested into each account to earn $1740 in interest?
Click here to see answer by venugopalramana(3286)   |
Question 34269: An investment consultant has deposited $5000 of a clients money into a 10% simple interes account. How much should be deposited into an 18% annual simple interest account so that the effective annual interest rate on both deposits is 14%
Click here to see answer by stanbon(26259)  |
Question 34266: A Chinese restaurant makes a special sauce for its dishes which consists of oyster sauce and chili oil. Oyster sauce costs $5.96 per quart and chili oil costs $8.04 per quart. How much of each should the restaurant use to make 60 quarts of the special sauce if a price of $7.52 is desired?
Click here to see answer by checkley71(8405) |
Question 34127: A neighborhood grocer sells a mix of chocolate and carob candy. The chocolate cost $2.70 a pound and the carob costs $2.55 a pound. If 20 pounds of the chocolate and 40 pounds of the carob candy are used, what is the cost per pound of the mixture?
Click here to see answer by checkley71(8405) |
Question 34864: Wheelchair Ramps:
The ANSI states that the slope of a wheelchair ramp must not exceed 1/12. A ramp must be 14 inches high. What is the minimum length of this ramp so it meets ANSI requirements?
The answer is 168 inches.
What is the equation you youse for this problem?
Thank you!
Click here to see answer by stanbon(26259) |
Question 35443: The question is as follows:
You have at least $30 in change in your drawer, consisting of
dimes and quarters. Write an inequality that shows the different number of coins in your drawer.
HELP!!!!
Click here to see answer by narayaba(40) |
Question 35603: A pulley with a radius of 9 inches is to be used to lift a box from the ground to a platform. The rope being used has an entire length of 42 feet. If the box needs to be raised 12 feet, how many revolutions will the pulley make? How many radians is that?
Click here to see answer by venugopalramana(3286) |
Question 35772: i need help with Problem Solving with Systems of Inequalities....I need to turn this work problem in a set of inequalities then graph. here goes....
"You are recruiting students to be on the decorating committee for the Junior/Senior Prom. The committee can have 7 to 10 members. There must be more Seniors than Juniors."
Im sure i can graph the problem, i just need help turning these words into a set of inequalities. Thanks for the Help.
Click here to see answer by venugopalramana(3286) |
Question 35786This question is from textbook 
: sole the following word problem by using the system linear equation in two variables:
one number is 3 more than the second number. twice the first is 9 less than 3 times the secondThis question is from textbook
Click here to see answer by checkley71(8405) |
Question 35928: A photo is 3 inches longer that it is wide. A 2-inch border is placed around the photo making the total area of the photo and border 108in2. What are the dimensions of the photo?
(x-4)(x-10)=108^2
x^2-44x+ 40=108^2
x^2-9x-148=0
(x-13)(x+4)=0
x>0, so x=13
x-3=10
The dimension of the frame is 13*10
Click here to see answer by Prithwis(166)  |
Question 36070: A rectangular garden is 15 by 12 meters, you need to have a rectangular area inside such that a uniform strip of side walk is made, the area inside has to be 108 square meters. Find the dimensions of the interior area.
Click here to see answer by Paul(988) |
Question 36103: i need help with this word problem----
You are making holiday wreaths to sell at a craft fair. It takes 1 1/2 hours to make a small wreath and 2 hours to make a large wreath. You have 40 hours available to make wreaths. Your profit for a small wreath is $7 and your profit for a large wreath is $12. What is the Maximum profit you can make?
Thanks for your help
Click here to see answer by stanbon(26259) |
Question 37555: If it costs $65 to travel 200km on a train and $80 to travel 350km, then;
a) express the cost, y, as a linear equation of distance traveled, x.
b) accordingly, how much would it cost to travel 500 km?
I have the answer which should be a) y= 0.010x + 45
b) $95
But have no idea how they got the answer. Should I be assigning two variables x and y to represent the unknow values. Write two equations using both variables and then solve the system of the given equations?
Not quite sure where to begin?
thank you
claudia
Click here to see answer by fractalier(1804)  |
Question 37675: The sum of two numbers is less than 15 . The second number is 3 less than the first. What are the possible values for the first of the two numbers?
In your answer, denote the first number by x .
Click here to see answer by Paul(988) |
Question 37671This question is from textbook
: The booster Club voted on where they would go for their annual trip. A majority of the club voted to go to a baseball game. They bought 29 tickets. Some of the tickets cost $7 each and soe cost $9 each. All of the tickets cost $225. How many tickets of each price did they buy?This question is from textbook
Click here to see answer by Paul(988) |
Question 37665This question is from textbook
: Safety Rent-a-Car rents an intermediate-size car at a daily rate of $21.95 plus .19 per mile. City Rentals rent an intermediate-size car for $18.95 plus .21 per mile. For what milage is the cost the same?This question is from textbook
Click here to see answer by fractalier(1804) |
Question 37670This question is from textbook
: Susan wants to have business cards printed. One style will cost $25 plus 2 cents per card. Another style will cost $10 plus 5 cents per card. For how many cards will the cost be the same for both styles?This question is from textbook
Click here to see answer by fractalier(1804) |
Question 37666This question is from textbook
: Sunshine Car Rentals rents a basic car at a daily rate of $17.99 plus .18 per mile. City Reantals rents a basic car at $18.95 plus .16 per mile. For what mileage is the cost be the same?This question is from textbook
Click here to see answer by fractalier(1804) |
Question 37658This question is from textbook
: Tyrone is twice as old as his daughter. In six years Tyrone's age will be three times what his daughter's age was six years ago. How old are they present?This question is from textbook
Click here to see answer by fractalier(1804) |
Question 38509: i need help with this uhmm....word problem. Please and Thank You!!!
A dealer has some hard candy worth $2.00 a pound and some worth $3.00 a pound. He wishes to make a mixture of 80 pounds that he can sell for $2.20 a pound. How many pounds of each candy does he need?
thank you so much.....
Click here to see answer by stanbon(26259) |
Question 37663This question is from textbook
: On a fishing trip, Mariko caught twenty-four fish. Sh caught some rockfish averaging 2.5 lb. and some bluefish averging 8 lb. The total weight of the fish was 137 lb. How many of each kind of fish did she catch?This question is from textbook
Click here to see answer by Nate(3495) |
Question 39353: Hello,
First and foremost I would like to thank you for your assistance. I am a parent of a high school student and have not taken Alegbra in a years. I would appreciate any assistance you can provide.
Thanks,
Steve
Problem 1:
Use the table shown below. Assume the data can be represented as a linear relationship.
a) Using the two points defined by data from 2000 and 2005, develop a linear equation for the data.
b) Using the equation found in a), predict the tax revenue for 2006.
c) Use the calculator to determine the "best fit" equation for the data.
d) Using the equation found in c), predict the tax revenue for 2006.
e) Using the equation found in c), estimate tax revenue for the missing 2002 data
Year Sales Tax Revenue
2000 $19500
2001 $21000
2003 $24000
2004 $27300
2005 $31000
Note: data is missing for 2002, the county clerk embezzled the funds for that year.
__________________________________________________________________________
Problem #2
A rocket is shot from the top of an oceanside cliff that is 60ft high. The original angle is 45 degrees and the original velocity is 50ft per sec. The formula for the rocket's motion is:
y = f(x) = -0.0128x(squared) + x + 60
The variables x and y are both measured in feet. The variable x represents horizontal displacement (distance from the base of the cliff), and y represents the height of the rocket above the ground.
a) What is the maximum height attained by the rocket? How far has the rocket travelled horizontally at this point?
b) At waht point(s) (after launch) is the rocket 70 feet high? (Horizontal displacement)
c) How far away from the base of the cliff does the rocket land?
Click here to see answer by stanbon(26259) |
Question 39353: Hello,
First and foremost I would like to thank you for your assistance. I am a parent of a high school student and have not taken Alegbra in a years. I would appreciate any assistance you can provide.
Thanks,
Steve
Problem 1:
Use the table shown below. Assume the data can be represented as a linear relationship.
a) Using the two points defined by data from 2000 and 2005, develop a linear equation for the data.
b) Using the equation found in a), predict the tax revenue for 2006.
c) Use the calculator to determine the "best fit" equation for the data.
d) Using the equation found in c), predict the tax revenue for 2006.
e) Using the equation found in c), estimate tax revenue for the missing 2002 data
Year Sales Tax Revenue
2000 $19500
2001 $21000
2003 $24000
2004 $27300
2005 $31000
Note: data is missing for 2002, the county clerk embezzled the funds for that year.
__________________________________________________________________________
Problem #2
A rocket is shot from the top of an oceanside cliff that is 60ft high. The original angle is 45 degrees and the original velocity is 50ft per sec. The formula for the rocket's motion is:
y = f(x) = -0.0128x(squared) + x + 60
The variables x and y are both measured in feet. The variable x represents horizontal displacement (distance from the base of the cliff), and y represents the height of the rocket above the ground.
a) What is the maximum height attained by the rocket? How far has the rocket travelled horizontally at this point?
b) At waht point(s) (after launch) is the rocket 70 feet high? (Horizontal displacement)
c) How far away from the base of the cliff does the rocket land?
Click here to see answer by Nate(3495) |
Question 39479: You have to buy 100 animals with $100.00. Dogs-$10, Cats-$3, Mice-$.50 The total of animals have to equal 100, and the total of dollars have to equal $100. I have try so many possibilties. Pleassssssssseeeeeee Helllllllpppppp Meeee!!!!!
Click here to see answer by AnlytcPhil(958) |
Question 40380: A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths. No need to graph the system of inequalities.
Thank you!!!
Click here to see answer by josmiceli(3003) |
Question 40551This question is from textbook
: The area of a kite varies jointly with the lengths of its two diagonals. If a kite with area 30 inches^2 has one diagonal of length 10 inches and the other diagonal of length 6 inches, what is the area of a kite with diagonals of length 8 inches and 13 inches?This question is from textbook
Click here to see answer by josmiceli(3003) |
Question 40552This question is from textbook
: The length of a wave varies jointly with the wavelength and the frequency of the wave. If the speed of a wave is 20 feet per second, its wavelength is 50 feet and its frequency is 0.4 waves per second. What is the speed of a wave whose wavelength is 1 foot and whose frequency is 8 waves per second? Thank you in advance for any help.This question is from textbook
Click here to see answer by stanbon(26259) |
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