Applications of Conversions Between US and Metric Systems Convert the measurements as indicated. Use the given conversion equation. Round your results to two decimal places. Australia is approximately 2520 miles in width. How many kilometers wide is Australia? \( \mathrm{km} \) Use \( 1 \mathrm{~km}=0.6214 \mathrm{mi} \) Angela bought 5 bottles of soda for a party. Each bottle was 2-liters. How many gallons of soda did she buy? gallons Use 1 gallon \( =3.785 \) liters Camille was in a 5000 meter race. How many miles was the race? miles Use \( 1 \mathrm{mi}=1609.24 \mathrm{~m} \) A nutritional label says that a serving of mac and cheese is 122 grams. How many ounces are in a serving? ounces Use \( 1 \mathrm{oz}=28.35 \mathrm{~g} \)

To convert the width of Australia from miles to kilometers, we can use the conversion equation: \(\text{km} = \text{mi} \times 1 \text{ km/mi}\) Given that Australia is approximately 2520 miles in width, we can substitute this value into the equation: \(\text{km} = 2520 \text{ mi} \times 1 \text{ km/mi}\) Calculating this expression, we find: \(\text{km} = 2520 \times 1 \times 0.6214 \approx 1567.93 \text{ km}\) Therefore, Australia is approximately 1567.93 kilometers wide. To convert the number of liters of soda that Angela bought to gallons, we can use the conversion equation: \(\text{gallons} = \text{liters} \times 1 \text{ gallon/3.785 liters}\) Given that Angela bought 5 bottles of soda, and each bottle was 2 liters, we can calculate the total number of liters: \(\text{total liters} = 5 \text{ bottles} \times 2 \text{ liters/bottle} = 10 \text{ liters}\) Substituting this value into the conversion equation, we find: \(\text{gallons} = 10 \text{ liters} \times 1 \text{ gallon/3.785 liters}\) Calculating this expression, we find: \(\text{gallons} = 10 \times 1 \times 0.2642 \approx 2.64 \text{ gallons}\) Therefore, Angela bought approximately 2.64 gallons of soda. To convert the length of the race that Camille participated in from meters to miles, we can use the conversion equation: \(\text{miles} = \text{meters} \times 1 \text{ mi/1609.24 m}\) Given that Camille was in a 5000 meter race, we can substitute this value into the equation: \(\text{miles} = 5000 \text{ m} \times 1 \text{ mi/1609.24 m}\) Calculating this expression, we find: \(\text{miles} = 5000 \times 1 \times 0.6214 \approx 3.11 \text{ miles}\) Therefore, the race that Camille participated in was approximately 3.11 miles long. To convert the serving size of mac and cheese from grams to ounces, we can use the conversion equation: \(\text{ounces} = \text{grams} \times 1 \text{ oz/28.35 g}\) Given that a serving of mac and cheese is 122 grams, we can substitute this value into the equation: \(\text{ounces} = 122 \text{ g} \times 1 \text{ oz/28.35 g}\) Calculating this expression, we find: \(\text{ounces} = 122 \times 1 \times 0.0353 \approx 4.32 \text{ ounces}\) Therefore, a serving of mac and cheese is approximately 4.32 ounces.