College

A marathon is a 26.2-mile race that commemorates the run made by a Greek soldier, Pheidippides, in 490 BCE. How many kilometers did he run? (Note: [tex]$1 \text{ mi} = 1.6 \text{ km}$[/tex])

Your dog has a mass of 45.5 lb. What is the dog's mass in kilograms? (Note: [tex]$1 \text{ lb} = 0.45 \text{ kg}$[/tex])

A. 20.5 kg
B. 101 kg
C. 45.5 kg

Answer :

Sure! Let's convert the mass of the dog from pounds to kilograms step by step.

1. Understand the conversion factor:
- We know that [tex]\(1 \text{ pound (lb)} = 0.45 \text{ kilograms (kg)}\)[/tex].

2. Determine the dog's mass in pounds:
- The dog's mass is given as 45.5 pounds.

3. Perform the conversion:
- To find the mass in kilograms, multiply the mass in pounds by the conversion factor.
- Calculation:
[tex]\[
\text{mass in kg} = 45.5 \, \text{lb} \times 0.45 \, \frac{\text{kg}}{\text{lb}}
\][/tex]

4. Calculate the result:
- [tex]\[
45.5 \times 0.45 = 20.475
\][/tex]

So, the dog's mass in kilograms is approximately 20.475 kg.

Therefore, when choosing the closest answer from the options provided, the dog's mass is approximately 20.5 kg.

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