Question 1

Write the word or phrase that best completes each statement or answers the question.
-While using the elimination method, if the following occurs, what can you say about the graph of the system of equations?
3x - 7y = 8
- 3x + 7y = -8
0 = 0

Accepted Answer

The answer of Write the word or phrase that best...

Question 2

Write the word or phrase that best completes each statement or answers the question.
-While using the elimination method, if the following occurs, what can you say about the graph of the system of equations?
6x - 8y = 5
- 6x + 8y = 7
0 = 12

Accepted Answer

The answer of Write the word or phrase that best...

Question 3

Choose the one alternative that best completes the statement or answers the question.
Choose the correct response.
-Which expression represents the monetary value of x 10-dollar bills?

Accepted Answer

The answer of Choose the one alternative that best completes...

Question 4

Choose the one alternative that best completes the statement or answers the question.
Choose the correct response.
-Which expression represents the cost of t pounds of candy that sells for $5.75 per lb?

Accepted Answer

The answer of Choose the one alternative that best completes...

Question 5

Choose the one alternative that best completes the statement or answers the question.
Choose the correct response.
-Suppose that x ounces of a 25% acid solution are mixed with y ounces of a 35% solution to obtain 73 ounces of a 32% solution. One equation in a system for solving this problem is

Which of the following is the other equation?

Accepted Answer

The answer of Choose the one alternative that best completes...

Question 6

Choose the one alternative that best completes the statement or answers the question.
Choose the correct response.
-If an animal runs for x hours at 5 mph, how many miles does this animal cover?

Accepted Answer

The answer of Choose the one alternative that best completes...

Question 7

Choose the one alternative that best completes the statement or answers the question.
Choose the correct response.
-What is the speed of a plane that travels at a rate of 567 mph against a wind of r mph?

Accepted Answer

The answer of Choose the one alternative that best completes...

Question 8

Choose the one alternative that best completes the statement or answers the question.
Choose the correct response.
-What is the speed of a plane that travels at a rate of 584 mph with a wind of r mph?

Accepted Answer

The answer of Choose the one alternative that best completes...

Question 9

Write a system of equations for the problem, and then solve the system.
-A biologist collected 223 fern and moss samples. There were 155 fewer ferns than moss samples. How many fern and moss samples did the biologist collect?

Accepted Answer

Let F represent the number of fern samples and M represent the number of moss samples. The system of equations based on the given information is: F + M = 223 (total samples) and F = M - 155 (155 fewer ferns than moss). Solving this system, we find F = 34 and M = 189.

Question 10

Write a system of equations for the problem, and then solve the system.
-The two largest oil spills together released 294 million gallons of oil into the oceans. The smaller of the two released 54 million gallons less than the larger of the two. How many million gallons did the largest and the smallest oil spills release?

Accepted Answer

The answer of Write a system of equations for the...

Question 11

Write a system of equations for the problem, and then solve the system.
-x units of a product cost C dollars to manufacture and earn a revenue of R dollars. Suppose that ?  , R = 7.60x, and no more than 10 units can be sold. Find the break-even quantity and decide whether the product should be produced on the basis of whether it will earn a profit.

Accepted Answer

The answer of Write a system of equations for the...

Question 12

Write a system of equations for the problem, and then solve the system.
-John has a jarful of quarters and nickels. There are 83 coins in the jar. The value of the coins is $12.75. How many of each type of coin?Number of coins

Accepted Answer

The answer of Write a system of equations for the...

Question 13

Write a system of equations for the problem, and then solve the system.
-There were 34,000 people at a ballgame in Los Angeles. The day's receipts from  reserved seats and  general-admission seats were  How many of each type of seat were sold?

Accepted Answer

The answer of Write a system of equations for the...

Question 14

Write a system of equations for the problem, and then solve the system.
-Paul invested twice as much money in an account paying 6% interest than he did in an account paying 3% interest. If the total interest paid was $ 300, how much did he invest in each?

Accepted Answer

Let x be the amount invested at 3% and 2x be the amount invested at 6%. The total interest from both investments is $300. The equation for the interest from the 3% investment is 0.03x, and for the 6% investment, it's 0.06(2x) = 0.12x. Adding these gives the total interest: 0.03x + 0.12x = 0.15x. Setting this equal to $300 gives 0.15x = 300, solving for x gives x = $2000 at 3% and 2x = $4000 at 6%.

Question 15

Write a system of equations for the problem, and then solve the system.
-A store sells televisions for $360 and video cassette recorders for $270. At the beginning of the week its entire stock is worth  During the week it sells three quarters of the televisions and one third of the video cassette recorders for a total of  How many televisions and video cassette recorders did it have in its stock at the beginning of the week?

Accepted Answer

The answer of Write a system of equations for the...

Question 16

Write a system of equations for the problem, and then solve the system.
-Two different gasohol mixtures are available. One contains 5% alcohol and the other 12% alcohol. How much of each should be mixed to obtain 1500 gallons of gasohol containing 10% alcohol?

Accepted Answer

The answer of Write a system of equations for the...

Question 17

Write a system of equations for the problem, and then solve the system.
-The owner of Nuts2U Snack Shack mixes cashews worth $6.25 per pound with peanuts worth $2.00 per pound to get a half-pound, mixed-nut bag worth $1.90. How much of each kind of nut is included in the mixed bag?

Accepted Answer

The answer of Write a system of equations for the...

Question 18

Write a system of equations for the problem, and then solve the system.
-The manager of a candy shop sells chocolate covered nuts for $7 per pound and chocolate covered raisins for $11 per pound. The manager wishes to make a 200-pound  mixture that will sell for $8 per pound. How many pounds of each should be used?

Accepted Answer

The answer of Write a system of equations for the...

Question 19

Write a system of equations for the problem, and then solve the system.
-Two trains start from towns 572miles apart and travel toward each other on parallel tracks. They pass each other 5.5 hours later. If one train travels 18 mph faster than the other, find the speed of each train.

Accepted Answer

Let the speed of the slower train be $x$ mph and the speed of the faster train be $x + 18$ mph. The total distance covered by both trains when they meet is 572 miles. Since distance = speed $\times$ time, the equation for the slower train is $x \times 5.5$ and for the faster train is $(x + 18) \times 5.5$. Adding these distances gives the total distance: $x \times 5.5 + (x + 18) \times 5.5 = 572$. Simplifying, we get $11x + 99 = 572$, leading to $11x = 473$, and $x = 43$. Therefore, the slower train's speed is 43 mph, and the faster train's speed is $43 + 18 = 61$ mph.

Question 20

Write a system of equations for the problem, and then solve the system.
-Two cars leave a city and head in the same direction. After 6 hours, the faster car is 60 miles ahead of the slower car. The slower car has traveled 312 miles. Find the speeds of the two cars.

Accepted Answer

The slower car's speed is 312 miles / 6 hours = 52 mph. The faster car is 60 miles ahead after 6 hours, so it has traveled 372 miles (312 miles + 60 miles), making its speed 372 miles / 6 hours = 62 mph.

Quiz 5: Exponents and Polynomials

Write the word or phrase that best completes each statement or answers the question. -While using the elimination method, if the following occurs, what can you say about the graph of the system of equations? 3x - 7y = 8 - 3x + 7y = -8 0 = 0

Write the word or phrase that best completes each statement or answers the question. -While using the elimination method, if the following occurs, what can you say about the graph of the system of equations? 6x - 8y = 5 - 6x + 8y = 7 0 = 12

Choose the one alternative that best completes the statement or answers the question. Choose the correct response. -Which expression represents the monetary value of x 10-dollar bills?

Choose the one alternative that best completes the statement or answers the question. Choose the correct response. -Which expression represents the cost of t pounds of candy that sells for $5.75 per lb?

Choose the one alternative that best completes the statement or answers the question. Choose the correct response. -If an animal runs for x hours at 5 mph, how many miles does this animal cover?

Choose the one alternative that best completes the statement or answers the question. Choose the correct response. -What is the speed of a plane that travels at a rate of 567 mph against a wind of r mph?

Choose the one alternative that best completes the statement or answers the question. Choose the correct response. -What is the speed of a plane that travels at a rate of 584 mph with a wind of r mph?

Write a system of equations for the problem, and then solve the system. -A biologist collected 223 fern and moss samples. There were 155 fewer ferns than moss samples. How many fern and moss samples did the biologist collect?

Write a system of equations for the problem, and then solve the system. -John has a jarful of quarters and nickels. There are 83 coins in the jar. The value of the coins is $12.75. How many of each type of coin?Number of coins

Write a system of equations for the problem, and then solve the system. -There were 34,000 people at a ballgame in Los Angeles. The day's receipts from reserved seats and general-admission seats were How many of each type of seat were sold?

Write a system of equations for the problem, and then solve the system. -Paul invested twice as much money in an account paying 6% interest than he did in an account paying 3% interest. If the total interest paid was $ 300, how much did he invest in each?

Write a system of equations for the problem, and then solve the system. -Two different gasohol mixtures are available. One contains 5% alcohol and the other 12% alcohol. How much of each should be mixed to obtain 1500 gallons of gasohol containing 10% alcohol?

Write a system of equations for the problem, and then solve the system. -The owner of Nuts2U Snack Shack mixes cashews worth $6.25 per pound with peanuts worth $2.00 per pound to get a half-pound, mixed-nut bag worth $1.90. How much of each kind of nut is included in the mixed bag?

Write a system of equations for the problem, and then solve the system. -Two trains start from towns 572miles apart and travel toward each other on parallel tracks. They pass each other 5.5 hours later. If one train travels 18 mph faster than the other, find the speed of each train.

Write a system of equations for the problem, and then solve the system. -Two cars leave a city and head in the same direction. After 6 hours, the faster car is 60 miles ahead of the slower car. The slower car has traveled 312 miles. Find the speeds of the two cars.