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Drag the labels to the correct location in the equation. Not all labels will be used.

(1 kilometer = 1,000 meters, 1 hour = 60 minutes, 1 minute = 60 seconds)

Complete the steps necessary to convert 55 kilometers per hour to meters per second.

Labels: 60, 1,000, 15.28, 100, seconds

[tex]\[
\frac{55 \text{ km}}{1 \text{ hour}} \times \frac{1,000 \text{ m}}{1 \text{ km}} \times \frac{1 \text{ hour}}{60 \text{ minutes}} \times \frac{1 \text{ minute}}{60 \text{ seconds}} \approx \left[ \frac{\text{ m}}{\text{ sec}} \right]
\][/tex]



Answer :

GinnyAnswer
To convert 55 kilometers per hour to meters per second, we follow these steps:

1. First, convert kilometers to meters:
[tex]\[ \frac{55 \text{ km}}{1 \text{ hour}} \times \frac{1000 \text{ meters}}{1 \text{ km}} \][/tex]

2. Then, convert hours to seconds by converting hours to minutes and minutes to seconds:
[tex]\[ \times \frac{1 \text{ hour}}{60 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ sec}} \][/tex]

Combining these conversions, we get:
[tex]\[ \frac{55 \text{ km}}{1 \text{ hour}} \times \frac{1000 \text{ meters}}{1 \text{ km}} \times \frac{1 \text{ hour}}{60 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ sec}} \approx 15.28 \frac{\text{ meters}}{\text{ sec}} \][/tex]

Here is how we fill the blanks step by step:

[tex]\[ \frac{55 \text{ km}}{1 \text{ hour}} \times \frac{1000 \text{ meters}}{1 \text{ km}} \times \frac{1 \text{ hour}}{60 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ sec}} \approx 15.28 \frac{\text{ meters}}{\text{ sec}} \][/tex]

This completes the conversion by using the appropriate conversion factors.

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