match each measurement on the left with an equal measurement on the right. Some answer options on the right will not be used21/3 yards102 inches31/2 miles41/2 miles18,480 feet7 feet71/2 feet81/2 feet21,120 feet23,760 fee

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SOLUTION

To match each measurement with its corresponding equal value.

We will resolve the measurements on the left to feet and compare them with the measurements on the right.

Convert 2 1/3 yards to feet

[tex]\begin{gathered} 1\text{ yards = 3 feet} \\ \frac{7}{3}\text{yards = 3 }\times\frac{7}{3}=7\text{ feet} \\ \end{gathered}[/tex]

So the first measurement on the left can be matched to the 2nd measurement on the right.

[tex]\begin{gathered} \text{Convert 102 inches to feet} \\ \end{gathered}[/tex][tex]\begin{gathered} 1\text{ inch = }\frac{1}{12}\text{ feet} \\ 102\text{ inches =}\frac{1}{12}\times102=8\text{ }\frac{1}{2}ft\text{ or 8 1/2 feet} \end{gathered}[/tex]

The second measurement on the left can be matched to the 4th measurement on the right.

[tex]\begin{gathered} \text{Convert 3 1/2 miles to feet} \\ 1\text{ miles = 5280 feet } \\ \frac{7}{2}\text{miles}=\text{ 5280 }\times\text{ }\frac{7}{2}=18,480\text{ feet} \end{gathered}[/tex]

The third measurement on the left can be matched to the 1st measurement on the right.

[tex]\begin{gathered} \text{Convert 4 1/2 miles to feet} \\ 1\text{ miles = 5280 feet} \\ \frac{9}{2}\text{miles}=5280\times\frac{9}{2}=23,760\text{ feet} \end{gathered}[/tex]

The fourth measurement on the left can be matched to the 6th measurement on the right.

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