Suppose you lined up 405,000 people in a straight line, with each person extending out their
arms so the tip of their fingers touches the shoulder of the person in front of them. Assume
the average distance between eacfiperson was 34 inches, how many miles long would that
line of people be?
Write final answer to 1 decimal place.

Question

UpStudy AI · Accepted Answer

To find the total length of the line of people, we need to calculate the total distance covered by each person's arms and then convert it to miles.

Given:
- Total number of people = 405,000
- Average distance between each person = 34 inches

First, let's calculate the total distance covered by each person's arms:
Total distance = Average distance * Total number of people

Now, we need to convert the total distance from inches to miles. There are 12 inches in 1 foot and 5280 feet in 1 mile. So, we can use the conversion factor to convert inches to miles.

Let's calculate the total distance in miles:
Total distance in miles = Total distance in inches / (12 * 5280)

Now, we can calculate the total length of the line of people in miles.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{405000	imes 34}{\left(12	imes 5280ight)}$$
- step1: Remove the parentheses:
  $$\frac{405000	imes 34}{12	imes 5280}$$
- step2: Multiply the numbers:
  $$\frac{13770000}{12	imes 5280}$$
- step3: Multiply the numbers:
  $$\frac{13770000}{63360}$$
- step4: Reduce the fraction:
  $$\frac{19125}{88}$$
The total length of the line of people would be approximately 217.329 miles.
The line of people would be approximately 217.3 miles long.

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