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Mathematics, 26.09.2020 01:01 USofA8397

Part A: Solve the equation 7x + 3x − 18 = 6(x + 3), and show your work. (5 points) Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed. (5 points)

Distributive Property
Subtraction Property of Equality
Combine Like Terms
Multiplication Property of Equality
Division Property of Equality
Given
Addition Property of Equality

Question 2 (Essay Worth 10 points)
(01.03 HC)

Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)

Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)

Part C: Explain how the equations from Part A and Part B differ. (2 points)

Question 3 (Essay Worth 10 points)
(01.05 MC)

A pilot is flying a CRJ-900 from Phoenix, Arizona, to Louisville, Kentucky. The aircraft cannot take off or land if the temperature on the field is not within its operating limitations. The aircraft cannot operate if the temperature is at or below −40° F, or at or above 118° F.

Part A: Write an inequality to represent the temperatures the pilot can take off and land in. (2 points)

Part B: Describe the graph of the inequality completely from Part A. Use terms such as open/closed circles and shading directions. Explain what the solutions to the inequality represent. (4 points)

Part C: In June 1990, the temperature in Phoenix, Arizona rose to 122° F. Could the pilot have taken off on this day? Why or why not? (4 points)

Question 4 (Essay Worth 10 points)
(01.06 MC)

A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work.

Part A: Rearrange the distance formula, d = rt, to solve for rate. (2 points)

Part B: Find the falcon's rate in meters per hour. (3 points)

Part C: Find the falcon's rate in kilometers per hour. (3 points)

Part D: Which unit, meters, or kilometers, makes more sense to use in this scenario, and why? (2 points)

PLZ HELP

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Answers: 3

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