21. How long will it take to travel the 406 miles between Los Angeles and San Francisco at an average speed of 48 miles per hour?
23. How many minutes does it take a car traveling 88 kilometers per hour to cover 4.3 kilometers?
25. What will be the cost in dollars for nails for a fence 62 feet long if you need 9 nails per foot of fence, there are 36 nails in a pound, and they sell for 69 cents per pound?
27. An American tourist in Mexico was startled to see $259 on a menu as the price for a meal. However, that dollar sign refers to Mexican pesos, which on that day had an average rate of 13 pesos per American dollar. How much did the tourist pay for the meal in American funds?
43. Make each conversion indicated. Use scientific notation to avoid long integers or decimal fractions.
5.74 cg to g
1.41 kg to g
4.54×108 cg to mg
45. Make each conversion indicated. Use scientific notation to avoid long integers or decimal fractions.
21.7 m to cm
517 m to km
0.666 km to cm
47. Make each conversion indicated. Use scientific notation to avoid long integers or decimal fractions.
494cm3 to mL
1.91 L to mL
874cm3 to L
49. Make each conversion indicated. Use scientific notation to avoid long integers or decimal fractions.
7.11 hg to g
5.27×10^7 m to pm
3.63×10^6 g to dag
51. State the volume of liquid in each graduated cylinder in the figure here and explain how you decided upon the appropriate number of significant figures. The markings are calibrated to be read at the bottom of the curved surface, and the numbers represent milliliters. Image Attached in Word Doc
57. Round off each quantity to three significant figures
6.398×10^3 km rope
0.0178 g silver nitrate
79,000 m cable
42,150 tons fertilizer
$649.85
59. A moving-van crew picks up the following items: a couch that weighs 147 pounds, a chair that weighs 67.7 pounds, a piano at 3.6×102 pounds, and several boxes having a total weight of 135.43 pounds. Calculate and express in the correct number of significant figures the total weight of the load.
61. A buret contains 22.93 milliliters of sodium hydroxide solution. A few minutes later, the volume is down to 19.4 milliliters because of a small leak. How many milliliters of solution have drained from the buret?
63. The mole is the SI unit for the amount of a substance. The mass of one mole of pure table sugar is 342.3 grams. How many grams of sugar are in exactly 1∕2 mole? What is the mass of 0.764 mole?
65. An empty beaker with a mass of 42.3 grams is filled with a liquid, and the resulting mass of the liquid and the beaker is 62.87 grams. The volume of this liquid is 19 milliliters. What is the density of the liquid?
69. A popular breakfast cereal comes in a box containing 515 grams. How many pounds (lb) of cereal is this?
73. There is 115 milligrams of calcium in a 100-gram serving of whole milk. How many grams of calcium is this? How many pounds?
75. An Austrian boxer reads 69.1 kilograms when he steps on a balance (scale) in his gymnasium. Should he be classified as a welterweight (136 to 147 pounds) or a middleweight (148 to 160 pounds)?
79. The Willis Tower in Chicago is 1451 feet tall. How high is this in meters?
81. The summit of Mount Everest is 29,029 ft above sea level. Express this height in kilometers.
83. An office building is heated by oil-fired burners that draw fuel from a 619-gallon storage tank. Calculate the tank volume in liters.
85. Fill in the spaces in the following tables so that each temperature is expressed in all three scales. Round off answers to the nearest degree.
93. Image attached in Word Doc. Consider the graph.
Determine the value of m and b in the equation y=mx+b.
Are x and y directly proportional? Explain.
What is the value of y when x=-3.00?
99. If the temperature and amount of a gas are held constant, the pressure (P) it exerts is inversely proportional to volume (V). This means that pressure is directly proportional to the inverse of volume, or 1∕V. Write this as a proportionality and then as an equation with k′ as the proportionality constant. What are the units of k′ if pressure is in atmospheres and volume is in liters?
105. Densities of gases are usually measured in grams per liter (g/L). Calculate the density of air if the mass of 15.7 L is 18.6 g.
107. Ether, a well-known anesthetic, has a density of 0.736g∕cm3. What is the volume of 471 g of ether?
118. The density of aluminum is 2.7g∕cm3. An ecology-minded student has gathered 126 empty aluminum cans for recycling. If there are 21 cans per pound, how many cubic centimeters and grams of aluminum does the student have?