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Problem 52

Graph the numbers on a number line. Then write two inequalities that compare the two numbers. \(-1.8\) and \(-2\)

Problem 53

The bill (parts and labor) for the repair of a car was S458. The cost of parts was \(\$ 339\). The cost of labor was \(\$ 34\) per hour. Write and solve an equation to find the number of hours of labor.

Problem 54

Write and solve an equation to answer the question. You can tell how many miles you are from a thunderstorm by counting the seconds between seeing the lightning and hearing the thunder, and then dividing by five. How many seconds would you count for a thunderstorm nine miles away?

Problem 55

Your school's drama club charges \(\$ 4\) per student for admission to Our Town. The club borrowed \(\$ 400\) from parents to pay for costumes, props, and the set. After paying back the parents, the drama club has \(\$ 100 .\) How many students attended the play?

Problem 55

You decide to see if you can ride the elevator to street level (Floor 0) without pushing any buttons. The elevator takes you up 4 floors, down 6 floors, up 1 floor, down 8 floors, down 3 floors, up 1 floor, and then down 6 floors to street level. Write and solve an equation to find your starting floor.

Problem 57

You learned that bald eagles fly up to 30 miles per hour and dive at speeds up to 100 miles per hour. Using this information, write and solve an equation to answer each question. a. What is the least amount of time that an eagle could take to fly 6 miles? b. An eagle a mile above the water spots a fish. What is the shortest time it would take the eagle to dive for the fish? Express your answer in seconds.

Problem 57

The formula \(d=\frac{n}{2}+26\) relates nozzle pressure \(n\) (in pounds per square inch) and the maximum distance the water reaches \(d\) (in feet) for a fire hose with a certain size nozzle. How much pressure is needed if such a hose is held 50 feet from a fire?

Problem 58

Write the percent as a decimal. $$ 19.5 \% $$

Problem 58

Neglecting air resistance, the upward velocity of the water in the stream of a particular fountain is given by the formula \(v=-32 t+28\), where \(t\) is the number of seconds after the water leaves the fountain. While going upward, the water slows down until, at the top of the stream, the water has a velocity of 0 feet per second. How long does it take a droplet of water to reach the maximum height?

Problem 59

Write the verbal sentence as an equation. A number multiplied by \(\frac{2}{3}\) is 8

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