AMU MATH 110 week 3 test answers American Military University 03

AMU MATH 110 Test Week 2-03

Part 1 of 25 –

Question 1 of 25

Choose the system of equations in x and y describing the situation :

Leroy has $12 less in his pocket than Donna has. If Donna had $8 more, she would have 3 times as much as money as Leroy.

A. Choice A

B. Choice B

C. Choice C

D. Choice D

Part 2 of 25

Question 2 of 25

Determine the number of solutions to the system: 15x + 10y = 35 3x 2y = 10

A. There are infinite solutions

B. one solution

C. cannot be determined

D. no solution

Part 3 of 25

Question 3 of 25

The following is a graph of a system of equations. Write the solution as an ordered pair.

Solution:

Part 4 of 25 –

Question 4 of 25

True or False: The point (5, 4) is a solution to this system of equations? 3x + y = 19 2x + 3y = 22

Part 5 of 25

Question 5 of 25

If the slopes of two lines are equal, then what do you know about the solution?

A. There is one solution

B. There could be no solution or infinite solutions

C. There is no solution

D. There are infinite solutions

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Part 6 of 25

Question 6 of 25

Solve the following system of equations. Give the answer as an ordered pair. – 2x + y = – 1 8x – 3y = – 1

Part 7 of 25

Question 7 of 25 Determine the x-coordinate of the solution to the system of equations: xy=9 x + 3y = 15 The x-coordinate is 3

Part 8 of 25

Question 8 of 25

The side of a triangle with 3 equal sides is 3 inches shorter than the side of a square. The perimeter of the square is 30 inches more than the perimeter of the triangle. Find the length of a side of the square.

A. 22 inches

B. 18 inches

C. 20 inches

D. 21 inches

Part 9 of 25

Question 9 of 25

Two angles are complementary is the sum of their measures is 90 degrees. The measure of the first angle is 6 degrees less than three times the second angle. Find the measure of the first angle.

A. The measure of the first angle is 63 degrees.

B. The measure of the first angle is 66 degrees.

C. The measure of the first angle is 24 degrees.

D. The measure of the first angle is 27 degrees.

Part 10 of 25

Question 10 of 25

If the cost of producing a product that sells for $40 is 72,000 plus $32 per piece, then how many products must be sold to breakeven?

The breakeven point is at 9,000 products.

Part 11 of 25

Question 11 of 25 The fixed costs to produce a certain product are 75,000 and the variable costs are $15.00 per 4.0/ 4.0 Points item. The revenue for a certain product is $30.00 each. If the company sells x products, then what is the revenue equation ?

A. R = 15x + 75000

B. R = 5000

C. R = 75000x + 15

D. R = 30x

Part 12 of 25

Question 12 of 25

A vendor sells hot dogs and bags of potato chips. A customer buys 4 hot dogs and 2 bags of chips for $9.00. Another customer buys 5 hot dogs and 3 bags of chips for $11.75. Find the cost of a hot dog.

A hot dog costs

Part 13 of 25

Question 13 of 25

Billy has 5 bills in his wallet worth $190.00. If all the bills are $20 or $50, how many $50 does he have?

Billy has 3 $50 bills.

Part 14 of 25

Question 14 of 25

A merchant has coffee worth $30 a pound that she wishes to mix with 80 pounds of coffee worth $90 a pound to get a mixture that she will sell for $70 a pound. How many pounds (lb) of the $30 coffee should be used?

A. 40 lb

B. 20 lb

C. 120 lb

D. 60 lb

Part 15 of 25

Question 15 of 25

A. Choice A

B. Choice B

C. Choice C

D. Choice D

Part 16 of 25

Question 16 of 25

Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. The length of the rectangular yard is 8 feet more than 4 times the width. She needs 106 feet of fencing to do the job. Find the length of the yard.

A. 40 feet

B. 86.4 feet

C. 48 feet

D. 44 feet

Part 17 of 25

Question 17 of 25

The perimeter of a rectangle is 48 m. If the width were doubled and the length were increased by 24 m, the perimeter would be 112 m. What is the length of the original rectangle?

B. The length of the original rectangle was 14 m.

C. The length of the original rectangle was 16 m.

D. The length of the original rectangle was 12 m.

Part 18 of 25

Question 18 of 25

University Theater sold 536 tickets for a play. Tickets cost $22 per adult and $10 per senior citizen. If total receipts were $7712 , how many senior citizen tickets were sold?

The number of senior citizen tickets sold was

Part 19 of 25

Question 19 of 25

A college student earned $5700 during summer vacation working as a waiter in a restaurant on the boardwalk at the beach. The student invested part of the money at 6% and the rest at 8%. If the student received a total of $382 in interest at the end of the year, how much was invested at 8%?

The amount invested at 8% was .

Part 20 of 25

Question 20 of 25

The sum of two numbers is 37. Their difference is 11. What is the smaller number?

Answer:

Part 21 of 25

Question 21 of 25

Julie and Eric row their boat (at a constant speed) 18 miles downstream for 3 hours helped by the 0.0/ 4.0 Points current. Rowing at the same rate, the trip back against the current takes 6 hours. Find the rate of the boat in still water.

A. The rate of the boat is 3 mph.

B. The rate of the boat is 2 mph.

C. The rate of the boat is 4.5 mph.

D. The rate of the boat is 1.5 mph.

E. None of these.

Part 22 of 25

Question 22 of 25

Given the system of inequalities: x > 0 and y > 0.

Which quadrant would be partly or wholly shaded?

A. Quadrant I

B. Quadrant II

C. Quadrant III

D. Quadrant IV

Part 23 of 25

Question 23 of 25

Identify the area that represents the solution of the inequality:

y < 3x + 2

A. white and pink

B. dark blue and pink

C. dark blue and light blue

D. light blue and white

Part 24 of 25

Question 24 of 25 (U7-Q2.gif)

A. Choice A

B. Choice B

C. Choice C

D. Choice D

Part 25 of 25

Question 25 of 25

Given the system of inequalities:

First inequality: x < 0 Second inequality: y > 0 Which quadrant would have areas that are shaded?

A. Quadrant I

B. Quadrant II

C. Quadrant III

D. Quadrant IV