Questions: A jogging track has a length of 0.15 miles (mi). How long is this in yards (yd)? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. Ratios 1 mi / 5280 ft, 5280 ft / 1 mi, 1760 yd / 1 mi, 1 mi / 1760 yd, 1 ft / 12 in, 12 in / 1 ft 0.15 mi / 1, x, square, =, square yd

A jogging track has a length of 0.15 miles (mi). How long is this in yards (yd)?

First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.

Ratios

1 mi / 5280 ft, 5280 ft / 1 mi, 1760 yd / 1 mi, 1 mi / 1760 yd, 1 ft / 12 in, 12 in / 1 ft

0.15 mi / 1, x, square, =, square yd
Transcript text: A jogging track has a length of 0.15 miles (mi). How long is this in yards (yd)? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. \begin{tabular}{|c|c|c|c|c|c|c|} \hline \multirow[t]{2}{*}{Ratios} & \[ \frac{1 \mathrm{mi}}{5280 \mathrm{ft}} \] & \[ \frac{5280 \mathrm{ft}}{1 \mathrm{mi}} \] & \[ \frac{1760 \mathrm{yd}}{1 \mathrm{mi}} \] & \[ \frac{1 \mathrm{mi}}{1760 \mathrm{yd}} \] & \[ \frac{1 \mathrm{ft}}{12 \mathrm{in}} \] & \[ \frac{12 \mathrm{in}}{1 \mathrm{ft}} \] \\ \hline & \[ \frac{0.15 \mathrm{mi}}{1} \] & x & $\square$ & = & $\square \mathrm{yd}$ & \\ \hline \end{tabular}
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Solution

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Solution Steps

Solution Approach

To convert the length of the jogging track from miles to yards, we can use the conversion ratio between miles and yards. Specifically, we know that 1 mile is equivalent to 1760 yards. Therefore, we can multiply the length in miles by this conversion factor to find the length in yards.

Step 1: Given Length in Miles

The length of the jogging track is given as \( 0.15 \, \text{mi} \).

Step 2: Conversion Factor

We use the conversion factor between miles and yards, which is: \[ 1 \, \text{mi} = 1760 \, \text{yd} \]

Step 3: Calculate Length in Yards

To convert the length from miles to yards, we multiply the length in miles by the conversion factor: \[ \text{Length in yards} = 0.15 \, \text{mi} \times 1760 \, \text{yd/mi} \] Calculating this gives: \[ \text{Length in yards} = 264.0 \, \text{yd} \]

Final Answer

The length of the jogging track in yards is \(\boxed{264.0 \, \text{yd}}\).

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