Question 16 pts
Translate the problem situation to a system of equations. Do not solve.

Anne has 13 coins in her pocket consisting of nickels and dimes only. The total value of the coins is $0.85. How many nickels and how many dimes does she have?
Group of answer choices

x + y = 13; 5x + 10y = 85

x + y = 13; 5x + 10y = 0.85

x + y = 13; 0.05x + 0.1y = 85

x + y = 13; 5x + 5y = 85
 
Flag question: Question 2
Question 26 pts
Translate the problem situation to a system of equations. Do not solve.

The perimeter of a rectangular building is 290 feet. The width is 45 feet shorter than the length. What are the dimensions?
Group of answer choices

W = L + 45; 2L + 2W = 290

W = L - 45; L + W = 290

W = L - 45; 2L + 2W = 290

L = W - 45; 2L + W = 290
 
Flag question: Question 3
Question 35 pts
Solve using the elimination method. If the system has an infinite number of solutions, use set-builder notation to write the solution set. If the system has no solution, state this.

 9x - 7y = 28
-7x - 5y = 20
Group of answer choices

(0, -4)

(0, -3)

(-1, -3)

No solution
 
Flag question: Question 4
Question 47 pts
Solve the problem.

Mardi received an inheritance of $60,000. She invested part at 9% and deposited the remainder in tax-free bonds at 12%. Her total annual income from the investments was $6300. Find the amount invested at 9%.
Group of answer choices

$15,000

$29,000

$53,700

$30,000
 
Flag question: Question 5
Question 57 pts
Solve the system of equations.

5x + 2y + z = -11
2x - 3y - z = 17
7x + y + 2z = -4
Group of answer choices

(3, 0, -4)

(-3, 0, 4)

(0, -6, 1)

(0, 6, -1)
 
Flag question: Question 6
Question 66 pts
Provide an appropriate response.

The supply and demand equations for a product are p = q + 20 and p = 200 - q, respectively, where q represents the number of units and p represents the price per unit in dollars. The equilibrium price is
Group of answer choices

$10.

$20.

$30.

$40.

$50.
 
Flag question: Question 7
Question 76 pts
Solve the problem.

The sum of two numbers is 33 and their difference is 1. Find the numbers.
Group of answer choices

18 and 19

17 and 16

15 and 18

33 and 0
 
Flag question: Question 8
Question 86 pts
Solve the problem.

One number is five times larger than another. The difference of the numbers is 76. Find the numbers.
Group of answer choices

19 and 95

17 and 85

92 and 16

17 and 97
 
Flag question: Question 9
Question 97 pts
Solve the problem.

Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 36 coins with a total face value of $5.20, how many of the coins are nickels?
Group of answer choices

17 nickels

21 nickels

22 nickels

19 nickels
 
Flag question: Question 10
Question 106 pts
Find the equilibrium point for the pair of demand and supply functions.

D(p) = 760 - 31p;
S(p) = 480 + 18p
Group of answer choices

($25.31, -24)

($-95.38, 3717)

($5.71, 583)

($-21.54, 1428)
 
Flag question: Question 11
Question 115 pts
Solve the problem.

The MetroCity tractor company is planning to produce a new tractor. For the first year, the fixed costs for setting up production are $300,000. The variable costs for producing each tractor are $15,000. The revenue for each tractor is $28,000. Find the total cost C(x) of producing x tractors.
Group of answer choices

C(x) = 28,000x + 300,000

C(x) = 300,000x + 15,000x

C(x) = 300,000 + 15,000x

C(x) = 15,000x
 
Flag question: Question 12
Question 125 pts
Solve the problem.

The MetroCity clothing company is planning to produce a new jacket. For the first year, the fixed costs for setting up production are $6000. The variable costs for producing each jacket are $30. The revenue for each jacket is $125. Find the total cost C(x) of producing x jackets.
Group of answer choices

C(x) = 6000 + 30x

C(x) = 30x

C(x) = 6000x + 30x

C(x) = 6000 + 95x
 
Flag question: Question 13
Question 137 pts
Solve the problem.

A $76,000 trust is to be invested in bonds paying 8%, CDs paying 7%, and mortgages paying 9%. The bond and CD investment together must equal the mortgage investment. To earn a $6340 annual income from the investments, how much should the bank invest in bonds?
Group of answer choices

$24,000

$12,000

$38,000

$26,000
 
Flag question: Question 14
Question 147 pts
Solve the problem.

A grain dealer sold to one customer 5 bushels of wheat, 9 of corn, and 7 of rye for $52.00; to another, 9 of wheat, 7 of corn, and 5 of rye for $44.60; and to a third, 7 of wheat, 5 of corn, and 9 of rye for $50.40. What was the price per bushel for corn?
Group of answer choices

$2.60

$1.10

$1.60

$3.30
 
Flag question: Question 15
Question 157 pts
Solve the problem.

Michael's bank contains only nickels, dimes, and quarters. There are 62 coins in all, valued at $5.50. The number of nickels is 10 short of being three times the sum of the number of dimes and quarters. How many dimes are in the bank?
Group of answer choices

13 dimes

8 dimes

44 dimes

10 dimes
 
Flag question: Question 16
Question 167 pts
Solve the problem.

The sum of a student's three scores is 227. If the first is 13 points more than the second, and the sum of the first two is 5 more than twice the third, what was the first score?
Group of answer choices

83 points

70 points

61 points

74 points