# Mathematics

1. A farmer has farmland that is a rectangle 4.5kmlong and 3kmwide.
He wants to completely cover the farmland in dirt. He knows the area each truckload of dirt covers, but only in square miles.
 (a) Find the area of the farmland in square miles. Do not round intermediate computations and round your final answer to two decimal places. Use the table of conversion facts, as needed. (b) The farmer wants to cover his farmland with dirt. He doesn’t have any to begin with and he can’t buy partial truckloads of dirt. Each truckload of dirt covers 2.9mi2. How many whole truckloads of dirt does the farmer need to buy to completely cover his farmland? (c) If each truckload of dirt costs \$75.36, how much will he need to spend on dirt? Write your answer to the nearest cent. \$
Conversion facts for length
1in = 2.54

centimeters

cm

1foot = 30.48

centimeters

cm

1Yard 0.91

meters

m

1mile 1.61

kilometers

km

1. Trey drove 11laps on a racetrack. If each lap of the track was 5491.2yd long, what was the total distance he drove? Write your answer in miles. Use the table of conversion facts as necessary, and do not round your answer.

 Conversion facts for length 12inches = 1 foot ft 3feet = 1 yard yd 36 inches = 1 yard yd 5280feet = 1 mile mi 1760 yards = 1 mile mi

1. Science fair poster is a rectangle 4ftlong and 2ft wide. Some of the entry rules for the fair refer to the area of the poster in square inches. Use the facts to find its area in square inches.
 Conversion facts for length 1 foot =   12 inches 1 yard =   3feet 1 yard =   36 inches

1. Miguel built a compost bin in the shape of a rectangular prism. The bin is 6ftlong, 2ftwide, and 4ftdeep. After the compost cycle is complete, the bin will be full of potting soil that Miguel can sell at a farmer’s market. The potting soil will be packaged in bags. The amount of soil each bag can hold is known in cubic inches.
 (a) Find the volume of the compost bin in cubic inches. Use the table of conversion facts, as needed. (b) Miguel is going to put the potting soil in bags. Each bag holds 695in3 of the soil. He is going to bag up as much soil as possible, but he won’t partially fill any bags. How many whole bags will he fill? (c) The bags will sell for \$6.19 each. If Miguel sells all the bags, how much money will he collect? \$

1. A cyclist rides her bike at a speed of 12miles per hour. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 3hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.

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