7.3 Mass and Temperature 435 In Exercises 37–50, convert each temperature as indicated. When appropriate, give your answer to the nearest tenth of a degree. 37. = 25°C °F 77°F 38. = 70°C °F 158°F 39. − = 25°F °C 31.7°C − 40. − = 10°F °C 23.3°C − 41. = 0°F °C 17.8°C − 42. = 80°F °C 26.7°C 43. 40°F °C − = 40°C − 44. 4°C °F − = 24.8°F 45. = 10°F °C 12.2°C − 46. = 100°F °C 37.8°C 47. = 0°C °F 32°F 48. = 50°C °F 122°F 49. = 37°C °F 98.6°F 50. 40 C F − ° = ° 40 F − ° In Exercises 51–56, use the following graph which shows the daily low and high temperatures, in degrees Celsius, for a week in January in Australia. Determine the following temperatures in degrees Fahrenheit. 35 30 25 20 15 10 5 0qC 32.3q 16.7q 16.1q 23.5q 34.0q 33.6q 26.8q 15.6q 35.1q 19.7q 20.4q 22.0q 17.8q 30.7q Sat. Sun. Mon. Tues. Wed. Thurs. Fri. THE HEAT OF THE DAY Average January Temperature: Maximum 22.0q Minimum 12.0q Daily Maximum Daily Minimum 51. The average January maximum temperature 71.6°F 52. The maximum temperature for the week 95.18°F 53. The minimum temperature on Friday 67.46°F 54. The maximum temperature on Saturday 90.14°F 55. The range of temperatures on Monday 64.04°F to 74.3°F 56. The range of temperatures on Tuesday 71.6°F to 93.2°F Problem Solving In Exercises 57– 64, when necessary, round your answer to the nearest hundredth. 57. Sand Pail A pail has a mass of 0.56 kilograms. If 62 grams of sand and 130 milliliters of water are added to the pail, what is the mass of the pail and its contents in grams? 752 g 58. Sponge A dry kitchen sponge has a mass of 57 grams. This same sponge is used to absorb 25 milliliters of water and 940 milligrams of spilled ketchup. What is the mass of the sponge, including the water and the ketchup, in grams? 82.94 g 59. Elevator Limit A construction-site elevator can carry a maximum weight of 1 metric tonne (t). A worker weighs 100 kg and is loading 25-kg concrete blocks into the elevator. In addition to the worker, how many blocks can be placed in the elevator and not exceed the maximum weight? 36 blocks 60. Bridge Weight Restriction A bridge has a weight restriction of 3.5 metric tonnes (t). If the weight of an empty truck is 2.92 t and the driver and passengers together weigh 180 kilograms, how much cargo, in metric tonnes, can be added to the truck without exceeding the 3.5-t weight limit? 0.4 t 61. Horses Dixie owns 5 horses, and each horse eats 9 kilograms of hay per day. Dixie is buying hay for the winter and will need enough hay for 90 days. How many metric tons of hay should Dixie buy? 4.05 t 62. Jet Fuel A jet can travel about 1 km on 17 kg of fuel. How many metric tonnes of fuel will the jet use flying nonstop between Baltimore and Los Angeles, a distance of about 4320 km? 73.44 t 63. A Storage Tank The dimensions of a rectangular storage tank are length 20 m, width 10 m, and height 8 m. If the tank is filled with water, determine a) the volume of water in the tank in cubic meters. 1600 m3 b) the number of kiloliters of water the tank will hold. 1600 k c) the mass of the water in metric tonnes. 1600 t 64. A Water Heater A water heater in the shape of a right circular cylinder has a radius of 50 cm and a height of 150 cm. If the tank is filled with water, use the formula, V r h2 π = to determine a) the volume of water in the tank in cubic meters. 1.1781 m3 b) the number of liters of water the tank will hold. 1178.1 c) the mass of the water in kilograms. 1178.1 kg Sompong kongpimay/123RF
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