AMU MATH 110 week 3 test answers American Military University 03

AMU MATH 110 Test Week 3-02

Part 1 of 25

Question 1 of 25

Istafan has $11 less in his pocket than Zoe has. If Zoe had $8 more, she would have 2 times as much money as Istafan.

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: (2,0)

Part 4 of 25

Question 4 of 25

True or False: The point (1, 5) is a solution to this system of equations? 4x + y = 9 , 2x + 4y = 22

True

False

Part 5 of 25

Question 5 of 25

You solve a system of equations and the first answer you get is 2 = 0. You immediately know that …

A. there are an infinite number of solutions

B. there is no solution

C. your math is wrong

D. there is a single solution

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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. 4x – y = – 5 3x + 2y = – 12 Answer:

Part 7 of 25

Question 7 of 25

Determine the xcoordinate of the solution to the system of equations: x+y=5 x 2y = 7 The xcoordinate is 1

Part 8 of 25

Question 8 of 25

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

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

A. The first angle is 75.6 degrees.

B. The first angle is 14.4 degrees.

C. The first angle is 86.4 degrees.

D. The first angle is 3.6 degrees.

Part 10 of 25

Question 10 of 25

If the cost of producing the product that sells for $12.50 is $1400.00 plus $5.50 per piece, then how many products must be sold to breakeven?

The breakeven point is at 200 products.

Part 11 of 25

Question 11 of 25 The fixed costs to produce a certain product are 50,000 and the variable costs are $4.00 per item. 4.0/ 4.0 Points The revenue for a certain product is $20.00 each. If the company sells x products, then what is the revenue equation ?

A. R = 20x

B. R = 3125

C. R = 50000x + 4

D. R = 4x + 50000

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 $ 1.75 .

Part 13 of 25

Question 13 of 25

Jenny has a total of 17 dimes and quarters in her piggy bank. If the coins are worth $2.45, how many quarters does she have?

A. 10 quarters

B. 14 quarters

C. 12 quarters

D. 5 quarters

Part 14 of 25

Question 14 of 25

A merchant has coffee worth $60 a pound that she wishes to mix with 50 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 $60 coffee should be used?

A. 75 lb

B. 150 lb

C. 100 lb

D. 50 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 aluminum has a perimeter of 58 inches. The length is 5 inches longer than the width. Find the width.

A. The width is 17 inches.

B. The width is 22 inches.

C. The width is 12 inches.

D. The width is 29 inches.

Part 17 of 25

Question 17 of 25

The perimeter of a triangle with two equal sides is 46 cm. If its base were lengthened by 4 cm and each leg were shortened by 7 cm, all three sides would be equal. Find the length of the base of the original triangle.

A. 8 cm

B. 12 cm

C. 19 cm

D. 7 cm

Part 18 of 25

Question 18 of 25

Rachel Newton scored 31 points in a recent basketball game. She scored 21 times, making several free throws worth 1 point each and several field goals worth two points each. How many 2point field goals did she make?

She made point field goals.

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

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

The smaller number is 5 .

Part 21 of 25

Question 21 of 25

Julie and Eric row their boat (at a constant speed) 63 miles downstream for 7 hours helped by the current. 0.0/ 4.0 Points Rowing at the same rate, the trip back against the current takes 9 hours. Find the rate of the boat in still water.

A. The rate of the boat is 2 mph.

B. The rate of the boat is 8 mph.

C. The rate of the boat is .5 mph.

D. None of these.

E. The rate of the boat is 1 mph.

Part 22 of 25

Question 22 of 25

Given the system of inequalities: x > 2 and y < 3.

Which quadrant would have areas that are 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:

2x + 3y < – 6

A. light green and dark green

B. light green and white

C. dark green and blue

D. white and blue

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 > 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