Question 1

Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.
-
A) 
B) 
C) 
D) infinitely many solutions
E) no solution

Accepted Answer

The answer of Solve the system of equations using elimination,...

Question 2

Solve the system of equations using elimination, if possible, and express the solution as an ordered triple.
-
A) 
B) 
C) 
D) infinitely many solutions
E) no solution

Accepted Answer

The answer of Solve the system of equations using elimination,...

Question 3

Nancy just inherited $83,000. She decides to diversify her investment by putting the money into three different accounts: tax-free bonds which pay 5% annual interest, a certificate of deposit which pays 7% annual interest, and a mutual stock fund which has an average annual rate of return of 12%. The amount she invests in the certificate of deposit is double the amount she invests in bonds. Her goal for total return per year from these three investments is $7720. How much should Nancy put into each account?
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of Nancy just inherited $83,000. She decides to...

Question 4

In the Storms baseball stadium, there are three levels of seats available. Box seats are sold for $10 each, reserved seats are sold for $7 each, and bleacher seats are sold for $4 each. The stadium capacity is 4500. Total revenue is $27,900 when all seats are sold. If half the box seats, half the reserved seats, and all of the bleacher seats are sold, the revenue is $18,150. Find how many of each type of seat are there.
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of In the Storms baseball stadium, there are...

Question 5

Morgan is keeping track of her calcium intake from three sources for three days. The first day she had a glass of milk, a serving of cottage cheesem and 1 calcium supplement pill totaling 1090 mg of calcium. The second day she had 2 glasses of milk, 1 serving of cottage cheese, and 1 calcium supplement totaling 1450 mg of calcium. The third day she had 1 glass of milk, 2 servings of cottage cheese, and 1 calcium supplement totaling 1310 mg of calcium. Find the amount of calcium in each of the three sources.
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of Morgan is keeping track of her calcium...

Question 6

A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.
-Find the number of grills that must be sold each month to break even.
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of A company that manufactures gas grills sells...

Question 7

A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month.
-Find the grill-manufacturer's revenue at the break-even point.
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of A company that manufactures gas grills sells...

Question 8

Chloe decides to open a lemonade stand to earn money for the summer. She is able to build a lemonade stand for $49. To make each cup of lemonade, including the cost of the cup, costs $0.12. She decides to sell each cup for $0.40. How many cups of lemonade must Chloe sell to break even?
A) 123
B) 62
C) 175
D) 70
E) none of these

Accepted Answer

The answer of Chloe decides to open a lemonade stand...

Question 9

Find Chloe's revenue at the break-even point.
A) $175
B) $70
C) $24.80
D) $49.20
E) none of these

Accepted Answer

The answer of Find Chloe's revenue at the break-even point.
A)...

Question 10

Suppose that you receive an inheritance of $48,000. You decide to invest some of the money in stocks and some in certificates of deposit (CDs). Because the CDs are a less risky investment you want to put 3 times as much into CDs as stocks. How much are you going to invest in each type of account?
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of Suppose that you receive an inheritance of...

Question 11

The cost of 5 deli sandwiches and 7 small salads is  . The cost of 6 deli sandwiches and 4 small salads is
 . Find the cost of the deli sandwich and the small salad.
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of The cost of 5 deli sandwiches and...

Question 12

A metallurgist has an alloy with 12% titanium and an alloy with 44% titanium. He needs 100 grams of an alloy with 20% titanium. How much of each alloy should be mixed to obtain the 100 grams of alloy with 20% titanium?
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of A metallurgist has an alloy with 12%...

Question 13

The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for Per pound and Guatemalan beans that sell for Per pound. She wants to have a total of Pounds of the special blend, and she is selling it for Per pound. How many pounds of each type of bean should she combine?
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of The owner of a coffee shop is...

Question 14

Two blends will be used to make ice cream that contains 10% milkfat. Blend A contains 6% milkfat and blend B contains 13% milkfat. How much of each blend should be used to make 2000 gallons of ice cream that contains 10% milkfat?
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of Two blends will be used to make...

Question 15

One cell phone plan charges $35.99 per month, including 400 minutes of out-of-network calls each month. Each additional minute outside the network costs $0.25. Another plan charges $59.99 per month, including 1000 minutes of out-of-network calls per month. This plan charges $0.40 for each additional minute out of the network. Find the number of total minutes outside the network a customer must use for the plans to cost the same in a month.
A) 1840
B) 1400
C) 1000
D) 400
E) none of these

Accepted Answer

The plans cost the same when the total cost of out-of-network minutes is the same. For the first plan, the total cost is $35.99 + $0.25(x - 400), where x is the number of total minutes outside the network. For the second plan, the total cost is $59.99 + $0.40(x - 1000). Setting these two expressions equal and solving for x gives x = 1840.

Question 16

Sally and Harry go to a fast food restaurant for breakfast. Sally ordered Sausage biscuit sandwiches and Orange juice. Her meal contained Grams of carbohydrates. Harry ordered Sausage biscuit sandwiches and Orange juices and his meal contained Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of Sally and Harry go to a fast...

Question 17

Sean is shifting his debt on his credit cards. He wants 4 times as much on his Visa card as on his Mastercard. Find the amount of debt he should have on each card.
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of Sean is shifting his debt on his...

Question 18

A Saturday matinee sells adult tickets for $6.50 and kid tickets, for kids under 12, for $4.00. A total of 150 tickets were sold, and the revenue from the ticket sales was $805. Find the number of adult tickets and the number of kid tickets sold.
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of A Saturday matinee sells adult tickets for...

Question 19

Two bicyclists leave the same point at the same time and travel in opposite directions. One cyclist rides at an average speed of 9 mph and the other at an average speed of 12 mph. Find the distance each cyclist has gone when the distance between them is 22 miles. Round your answer to the nearest tenth of a mile.
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of Two bicyclists leave the same point at...

Question 20

Miley is shifting her credit card debt. She has a total of $2292 in debt, and she wants three times as much debt on her Visa as on her Master Card. How much debt will she have on each credit card?
A) 
B) 
C) 
D) 
E) none of these

Accepted Answer

The answer of Miley is shifting her credit card debt....

Quiz 4: Systems of Linear Equations

Solve the system of equations using elimination, if possible, and express the solution as an ordered triple. -

Solve the system of equations using elimination, if possible, and express the solution as an ordered triple. -

A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month. -Find the number of grills that must be sold each month to break even.

A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month. -Find the grill-manufacturer's revenue at the break-even point.

Chloe decides to open a lemonade stand to earn money for the summer. She is able to build a lemonade stand for $49. To make each cup of lemonade, including the cost of the cup, costs $0.12. She decides to sell each cup for $0.40. How many cups of lemonade must Chloe sell to break even?

Find Chloe's revenue at the break-even point.

Suppose that you receive an inheritance of $48,000. You decide to invest some of the money in stocks and some in certificates of deposit (CDs) . Because the CDs are a less risky investment you want to put 3 times as much into CDs as stocks. How much are you going to invest in each type of account?

The cost of 5 deli sandwiches and 7 small salads is . The cost of 6 deli sandwiches and 4 small salads is . Find the cost of the deli sandwich and the small salad.

A metallurgist has an alloy with 12% titanium and an alloy with 44% titanium. He needs 100 grams of an alloy with 20% titanium. How much of each alloy should be mixed to obtain the 100 grams of alloy with 20% titanium?

Two blends will be used to make ice cream that contains 10% milkfat. Blend A contains 6% milkfat and blend B contains 13% milkfat. How much of each blend should be used to make 2000 gallons of ice cream that contains 10% milkfat?

Sean is shifting his debt on his credit cards. He wants 4 times as much on his Visa card as on his Mastercard. Find the amount of debt he should have on each card.

A Saturday matinee sells adult tickets for $6.50 and kid tickets, for kids under 12, for $4.00. A total of 150 tickets were sold, and the revenue from the ticket sales was $805. Find the number of adult tickets and the number of kid tickets sold.

Miley is shifting her credit card debt. She has a total of $2292 in debt, and she wants three times as much debt on her Visa as on her Master Card. How much debt will she have on each credit card?