## AMU MATH 110 week 3 test answers American Military University 04

# AMU MATH 110 Test Week 3-04

## Part 1 of 25

Question 1 of 25

Leroy has $15 less in his pocket than Zoe has. If Zoe had $7 more, she would have 2 times as much 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: x + 6y = 12 2x 3y = 9

A. There are infinite solutions

B. no solution

C. cannot be determined

D. one 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 (8, 4) is a solution to this system of equations? 4x + 2y = 32 2x + y = 16

True

False

## Part 5 of 25

Question 5 of 25 You solve a system of equations and the first answer you get is 0 = 0. You immediately know that …

A. there is a single solution

B. you do not have enough information to solve the problem.

C. there are an infinite number of solutions

D. there is no solution

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## Part 6 of 25 –

Question 6 of 25

Determine the xvalue of the solution to the system of equations: y = 2x 5 3y + 15 x = 6 The x value of the solution is x = .

## Part 7 of 25

Question 7 of 25

Determine the xcoordinate of the solution to the system of equations: xy=6 x + 4y = 14 The xcoordinate is

## 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 12 degrees more than 4 times the second angle. Find the measure of the first angle.

A. The measure of the first angle is 8.4 degrees.

B. The measure of the first angle is 15.6 degrees.

C. The measure of the first angle is 81.6 degrees.

D. The measure of the first angle is 74.4 degrees.

## Part 10 of 25

Question 10 of 25

If the cost of producing the product that sells for $1.50 is $75.00 plus $1.00 per piece, then how many products must be sold to breakeven?

The breakeven point is at products.

## Part 11 of 25

Question 11 of 25 If the cost of producing a product that sells for $50 is 12000 plus $20.00 per piece, then what is the cost equation for producing x items?

A. C = 50x

B. C = 20x + 12000

C. C = 12000x + 20

D. C = 4000

## Part 12 of 25

Question 12 of 25

A vendor sells pizza and soft drinks. A customer buys 7 slices of pizza and 5 drinks for $28.42. Another customer buys 6 slices of pizza and 4 drinks for $23.80. Find the cost of a slice of pizza.

A slice of pizza costs $

## Part 13 of 25

Question 13 of 25

.

Jenny has a total of 19 dimes and quarters in her piggy bank. If the coins are worth $3.25, how many quarters does she have?

A. 12 quarters

B. 10 quarters

C. 14 quarters

D. 9 quarters

## 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

A flat rectangular piece of aluminium has a perimeter of 40 inches. The length is 2 inches longer than twice the width. Find the width.

A. The width is 6 inches.

B. The width is 12 inches.

C. None of these

D. The width is 28 inches.

E. The width is 14 inches.

## Part 17 of 25

Question 17 of 25

The perimeter of a rectangle is 88 m. If the width were doubled and the length were increased by 12 m, the perimeter would be 152 m. What is the length of the original rectangle?

A. The length of the original rectangle was 21 m.

B. The length of the original rectangle was 22 m.

C. The length of the original rectangle was 24 m.

D. The length of the original rectangle was 20 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 chemist needs 80 milliliters of a 60% solution but she only has 58% and 66% solutions available.

Calculate how many milliliters of each should be mixed to get the desired result. How many milliliters of the 58% solution should she use?

She should use milliliters of 58% solution.

## Part 20 of 25

Question 20 of 25

Two numbers total 20 , and their difference is 50 . Find the smaller of the two numbers.

The smaller number is

.

## Part 21 of 25 –

Question 21 of 25

Julie and Eric row their boat (at a constant speed) 12 miles downstream for 2 hours helped by the current. 0.0/ 4.0 Points Rowing at the same rate, the trip back against the current takes 3 hours. Find the rate of the boat in still water.

A. None of these.

B. The rate of the boat is 5 mph.

C. The rate of the boat is 4 mph.

D. The rate of the boat is 4.5 mph.

E. The rate of the current is 1 mph.

## 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-Q4.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 < – 2

Second inequality: y > 3

Which quadrant would have areas that are shaded?

A. Quadrant I

B. Quadrant II

C. Quadrant III

D. Quadrant IV