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Problem 46

Think About It When the height of a triangle doubles, does the area of the triangle double? Explain.

Problem 46

Weight Loss You want to lose an average of 4 pounds per month on a new weight loss program. In the first 3 months, you lost 3 pounds, 7 pounds, and 4 pounds. How much weight must you lose during the fourth month to maintain an average weight loss of 4 pounds per month?

Problem 47

Think About It When the radius of a circle doubles, does its circumference double? Does its area double? Explain.

Problem 49

Solve the equation. Round your answer to two decimal places. $$5.6=1.1 x-1.2$$

Problem 50

Amount of Fuel A tractor requires 4 gallons of diesel fuel to plow for 90 minutes. How many gallons of fuel would be required to plow for 8 hours?

Problem 51

Translate the verbal statement into a linear inequality. \(x\) is greater than 0 and less than or equal to 6 .

Problem 54

Geometry You are asked to cut a 12 -foot board into 3 pieces. Two pieces are to have the same length and the third is to be twice as long as the others. How long are the pieces?

Problem 55

Ticket Sales Tickets for a community theater cost \(\$ 10\) for each main floor seat and \(\$ 8\) for each balcony seat. There are 400 seats on the main floor, and these seats were sold out for the evening performance. The total revenue from ticket sales was \(\$ 5200\). How many balcony seats were sold?

Problem 62

Solve the equation. Round your answer to two decimal places. $$\frac{x}{4.08}+7.2=5.14$$

Problem 62

Determine whether each value of \(x\) is a solution of the inequality. \(9-(x+3) \leq 10\) (a) \(x=-4\) (b) \(x=4\) (c) \(x=0\) (d) \(x=-6\)

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