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Which quantity can be converted from the English system to the metric system using the conversion factor \((5280 \, \text{ft} / \text{mi}) \cdot (12 \, \text{in} / \text{ft}) \cdot (2.54 \, \text{cm} / \text{in}) \cdot (1 \, \text{m} / 100 \, \text{cm}) \cdot (1 \, \text{hr} / 3600 \, \text{s})\)?

A. feet per second
B. feet per hour
C. miles per second
D. miles per hour
E. miles per minute

Answer :

Final answer:

The quantity that can be converted using the provided conversion factors is miles per hour (D). These factors convert English units to metric units, specifically converting miles per hour to meters per second, which is a standard unit of speed in the metric system.

Explanation:

The quantity that can be converted from the English system to the metric system using the given conversion factors is miles per hour (D). The conversion factors provided are used to convert miles to feet, feet to inches, inches to centimeters, centimeters to meters, and hours to seconds. By multiplying these individual conversion factors together, we convert miles per hour to meters per second, which are standard units in the metric system. Here's a breakdown of how it works:

  • (5280 ft / mi) converts miles to feet,
  • (12 in / ft) converts feet to inches,
  • (2.54 cm / in) converts inches to centimeters,
  • (1 m / 100 cm) converts centimeters to meters,
  • (1 hr / 3600 s) converts hours to seconds.

Therefore, the conversion from miles per hour to meters per second in the metric system involves using all of these conversion factors sequentially.

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