Problem

Applications of Conversions Between US and Metric Systems Convert the measurements as indicated. Use the given conversion equation. Round your result's to two decimal places. Australia is approximately 2555 miles in width. How many kilometers wide is Australia? $\mathrm{km}$ Use $1 \mathrm{~km}=0.6214 \mathrm{mi}$ Angela bought 8 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 3000 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 121 grams. How many ounces are in a serving? ounces Use $1 \mathrm{oz}=28.35 \mathrm{~g}$

Solution

Step 1 :Given that Australia is approximately 2555 miles in width, we can convert this to kilometers using the conversion factor \(1 \mathrm{~km}=0.6214 \mathrm{mi}\). This gives us \( \frac{2555}{0.6214} \approx 4111.68 \) kilometers.

Step 2 :Angela bought 8 bottles of soda for a party, each bottle was 2 liters, giving a total of \(8 \times 2 = 16\) liters. We can convert this to gallons using the conversion factor \(1 \mathrm{~gallon} = 3.785 \mathrm{~liters}\). This gives us \( \frac{16}{3.785} \approx 4.23 \) gallons.

Step 3 :Camille was in a 3000 meter race. We can convert this to miles using the conversion factor \(1 \mathrm{~mi}=1609.24 \mathrm{~m}\). This gives us \( \frac{3000}{1609.24} \approx 1.86 \) miles.

Step 4 :A nutritional label says that a serving of mac and cheese is 121 grams. We can convert this to ounces using the conversion factor \(1 \mathrm{~oz}=28.35 \mathrm{~g}\). This gives us \( \frac{121}{28.35} \approx 4.27 \) ounces.

Step 5 :\(\boxed{\text{Final Answer:}}\) Australia is approximately \(\boxed{4111.68}\) kilometers wide. Angela bought \(\boxed{4.23}\) gallons of soda. The race was \(\boxed{1.86}\) miles long. A serving of mac and cheese is \(\boxed{4.27}\) ounces.

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