How many kilometers are in 50 miles to the nearest tenth? Conversion factor: 1 km = 0.6 mile. Show all work using dimensional analysis
To convert miles to kilometers, we can use the conversion factor: 1 km = 0.6 mile.
We have 50 miles. We can set this up as a proportion with the conversion factor as follows:
50 miles * (1 km/0.6 mile)
The miles will cancel out, leaving us with only kilometers:
50 * 1 km / 0.6
Simplifying the expression,
(50/0.6) km ≈ 83.3 km
Therefore, there are approximately 83.3 kilometers in 50 miles to the nearest tenth.
To convert 50 miles to kilometers using dimensional analysis, we can set up the following conversion factor:
1 km = 0.6 mile
Now, let's set up the equation using dimensional analysis:
50 miles * (1 km / 0.6 mile)
By multiplying 50 miles by the conversion factor, the unit "mile" cancels out, leaving us with kilometers. Now, let's calculate:
50 miles * (1 km / 0.6 mile) = 83.333... km
Rounding to the nearest tenth, we get:
83.3 km
Therefore, there are approximately 83.3 kilometers in 50 miles, to the nearest tenth.