Survey of Mathematics

446 CHAPTER 7 The Metric System 49. Ampicillin The recommended dosage of the drug ampicillin for pediatric patients is 200 mg per kilogram of a patient’s weight. If Imani weighs 76 lb, how much ampicillin should she receive? 6894.72 mg 50. Disinfecting Water According to EPA.gov, during an emergency, water can be disinfected by adding 8 drops of water disinfectant to 1 gallon of water. How many drops of disinfectant are needed to disinfect 19 liters of water? Round your answer to the nearest whole number of drops. 40 drops 51. Earth The following artwork shows the dimensions of the various parts of Earth, from its crust to its inner core. Use a thickness of 15 miles for the crust. a) Determine the radius of Earth in miles. 3975 mi b) Determine the radius of Earth in kilometers. 6396.97 km c) The deepest hole dug in Earth, called the Kola Well, was in the Kola Peninsula in northwest Russia. The deepest the hole reached was about 12.2 km. How far down, in miles, did the hole reach? 7.58 mi d) At the location of the hole, the crust was about 24 km. How thick was the crust at that location in miles? 14.91 mi Crust 5–25 miles thick Inner core Radius: 760 miles Outer core 1,400 miles thick Mantle 1,800 miles thick 52. Gibraltar Gibraltar is a British territory that shares a 1.2-kilometer border with Spain. The territory covers an area of about 6.84 square kilometers and the Rock of Gibraltar has a maximum height of 426 meters. a) Determine the length of the border with Spain in miles. 0.75 mi b) Determine the area of the territory in square miles. 2.64 mi2 c) Determine the height of the Rock of Gibraltar in feet. 1397.64 ft 53. International Flight The following information was displayed on a monitor during an international flight. a) Determine the altitude in miles. 6.05 mi b) Determine the ground speed in miles per hour. 440.56 mph c) Determine the headwind in miles per hour. 112.47 mph d) Determine the temperature in degrees Fahrenheit using the formula = + F C 9 5 32 (see Section 7.3 ). F 49 − ° 54. Roadrunner The greater roadrunner has been recorded as reaching speeds as high as 42 km/h, although it normally runs about 32 km/h. Usain Bolt has a record speed in the Olympics of running about 23.35 mph. a) If we use the 32 km/h for the roadrunner’s speed, who ran faster—the roadrunner or Usain Bolt? Usain Bolt b) If we use the 42 km/h for the roadrunner’s speed, who ran faster—the roadrunner or Usain Bolt? The roadrunner 55. Willamette Falls Willamette Falls in Oregon has a flow rate of 928 cubic meters per second. Convert this flow rate to cubic feet per minute. 1,967,491.17 ft min 3 m Willamette Falls 56. Kanawha Falls Kanawha Falls in West Virginia has a flow rate of 255 cubic meters per second. Convert this flow rate to cubic yards per hour. 1,200,627.78 yd hr 3 57. Rhode Island and Luxembourg The state of Rhode Island has a land area of 1545 square miles. The country of Luxembourg has a land area of 2586 square kilometers. a) Convert the land area of Rhode Island to square kilometers. 4001.55 km2 b) Convert the land area of Luxembourg to square miles. 998.46 mi2 c) Which is larger, Rhode Island or Luxembourg? Rhode Island Altitude 9730 m 709 km/h 181 km/h −45 ˚C Ground Speed Outside Air Temperature Head Wind Ariel Bravy/Shutterstock JPL Designs/Shutterstock

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