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

(1 kilometer [tex]$=1,000$[/tex] meters, 1 hour [tex]$=60$[/tex] minutes, 1 minute [tex]$=60$[/tex] seconds)

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

[tex]\[
\frac{55 \, \text{km}}{1 \, \text{hour}} \times \frac{1,000 \, \text{m}}{1 \, \text{km}} \times \frac{1 \, \text{hour}}{60 \, \text{min}} \times \frac{1 \, \text{min}}{60 \, \text{sec}} \approx \left[\frac{15.28 \, \text{m}}{\text{sec}}\right]
\][/tex]

Labels:
1,000, 60, 15.28

Sagot :

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

1. Start with the initial value of 55 kilometers per hour:
[tex]\[ \frac{55 \text{ km}}{1 \text{ hour}} \][/tex]

2. Convert kilometers to meters by multiplying by [tex]\(1,000\)[/tex] (since 1 kilometer = 1,000 meters):
[tex]\[ \frac{55 \text{ km}}{1 \text{ hour}} \times \frac{1,000 \text{ meters}}{1 \text{ km}} \][/tex]

3. Convert hours to minutes by multiplying by [tex]\(\frac{1 \text{ hour}}{60 \text{ minutes}}\)[/tex] (since 1 hour = 60 minutes):
[tex]\[ \frac{55,000 \text{ meters}}{1 \text{ hour}} \times \frac{1 \text{ hour}}{60 \text{ minutes}} \][/tex]

4. Convert minutes to seconds by multiplying by [tex]\(\frac{1 \text{ minute}}{60 \text{ seconds}}\)[/tex] (since 1 minute = 60 seconds):
[tex]\[ \frac{55,000 \text{ meters}}{60 \text{ minutes}} \times \frac{1 \text{ minute}}{60 \text{ seconds}} \][/tex]

5. Simplify the expression to find the speed in meters per second:
[tex]\[ \frac{55,000 \text{ meters}}{3,600 \text{ seconds}} \approx 15.28 \text{ meters per second} \][/tex]

So, the complete conversion is:
[tex]\[ \frac{55 \text{ km}}{1 \text{ hour}} \times \frac{1,000 \text{ meters}}{1 \text{ km}} \times \frac{1 \text{ hour}}{60 \text{ minutes}} \times \frac{1 \text{ minute}}{60 \text{ seconds}} \approx \left[15.28 \frac{\text{ meters}}{\text{ seconds}}\right] \][/tex]
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