23) 1 3 4 ft to inches 24) 4 2 3 ft to inches 25) 1.25 gal to quarts 26) 2.75 days to hours 27) 3.5 pt to quarts 28) 6.5 pt to quarts 29) A snow leopard can pounce on its prey from 45 feet away. How many yards is this? (www.sandiegozoo.com) 30) A baby elephant can weigh up to 1 8 ton at birth. How many pounds is this? (www.sandiegozoo.com) Objective 3: Use Unit Analysis to Convert Between Units 31) Write two different unit fractions for the relationship 60 min 1 hr. 32) Write two different unit fractions for the relationship 3 ft 1 yd. 33) What are the steps we use to convert between units using unit analysis? 34) To convert 4.2 min to seconds using unit analysis, Nisha sets up the problem this way: 4.2 min 1 min 60 sec 4.2 min 1 1 min 60 sec a) How do we know this is wrong? b) What is the correct way to set up this problem and why? c) Finish the correct work in part b) to convert 4.2 min to seconds. Use unit analysis to convert to the indicated unit. 35) 7 ft to inches 36) 4 hr to minutes 37) 10 qt to pints 38) 8 yd to feet 39) 52 oz to pounds 40) 5 c to pints 41) 3 1 2 days to hours 42) 4 1 3 yd to feet 12 12 Use unit analysis to convert to the indicated unit. 43) 5 yd ft 44) 12 qt pt 45) 72 oz lb 46) 44 oz lb 47) 1.75 hr min 48) 3.25 hr min 49) 3 pt c 50) 5 pt c 51) 114 tons lb 52) 234 tons lb 53) 2640 ft mi 54) 7920 ft mi 55) a) Convert 2 days to minutes in two separate steps, fi rst by changing days to hours and then by changing hours to minutes. b) Convert 2 days to minutes in a single step, using more than one unit fraction. 56) a) Convert 2 hours to seconds in two separate steps, fi rst by changing hours to minutes and then by changing minutes to seconds. b) Convert 2 hours to seconds in a single step, using more than one unit fraction. Use more than one unit fraction to convert to the indicated unit. 57) 1 day sec 58) 2.5 days sec 59) 18 c qt 60) 15 c qt 61) 504 hr wk 62) 336 hr wk 63) 2.5 gal c 64) 1.25 gal c 65) 6600 yd mi 66) 3740 yd mi Objective 4: Solve Applied Problems Using Unit Analysis Solve each problem. 67) One batch of homemade vanilla ice cream uses 2 1 2 c half-and-half. How many pints of half-and-half are needed for four batches of ice cream? 68) Irina will make buttermilk pancakes for her daughter’s pajama party. She has to make six batches, and each batch uses 2 1 2 c buttermilk. How many pints of buttermilk should she buy? 69) Melvina babysat four days in a row, 3.75 hr each time. Find the total number of minutes she babysat. www.mhhe.com/messersmith SECTION 7.1 Using U.S. Customary Measurements 443
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