A parade route is 34

mile long. There will be a refreshment stand at the beginning and end of the route. There will also be 8 refreshment stands along the route. All the refreshment stands are equally-spaced apart. How far apart are the refreshment stands in feet? Draw a diagram to help you answer the question. Be sure to count the number of gaps between the refreshment stands.

Use the drop-down menu to complete the answer.



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The refreshment stands are
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feet apart.

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1 answer

To determine how far apart the refreshment stands are, first note that there are refreshment stands at the beginning and end of the 34-mile parade route, along with 8 additional stands along the route.

Breakdown of the Situation:

  1. Total Number of Refreshment Stands: The refreshment stands can be counted as follows:

    • 1 at the beginning
    • 1 at the end
    • 8 along the route
    • Total = 1 (beginning) + 1 (end) + 8 = 10 refreshment stands.
  2. Gaps Between Refreshment Stands: The number of gaps between the stands is equal to the number of stands minus 1:

    • Number of gaps = 10 (stands) - 1 = 9 gaps.
  3. Total Distance of the Parade Route: The total distance of the parade route is 34 miles.

  4. Converting Miles to Feet:

    • There are 5280 feet in a mile.
    • Therefore, 34 miles = 34 miles × 5280 feet/mile = 179,520 feet.
  5. Distance Between Each Refreshment Stand:

    • Each gap will have the same distance, so we divide the total distance by the number of gaps: \[ \text{Distance between stands} = \frac{\text{Total distance in feet}}{\text{Number of gaps}} = \frac{179520 \text{ feet}}{9 \text{ gaps}} \approx 19946.67 \text{ feet} \]

Conclusion:

The refreshment stands are approximately 19,490 feet apart.

So, filling in the drop-down menu, the refreshment stands are 19,490 feet apart.

(Note: If this specific option isn't present in the drop-down choices, please check the options carefully for estimations or rounding variations.)