Questions: 42.02 = lb (Round to the nearest hundredth as needed.) 42.02 to ab 1 lb = 1 T 200 lb = 1 T

Solution Steps

To convert 42.02 pounds (lb) to tons (T), we need to use the given conversion factor. According to the given information, 200 pounds is equivalent to 1 ton. We will use this conversion factor to perform the dimensional analysis and convert the given value.

1. Identify the conversion factor: 200 lb = 1 T.
2. Use the conversion factor to convert 42.02 lb to tons.
3. Perform the division to find the equivalent value in tons.
4. Round the result to the nearest hundredth.

We know that \( 200 \, \text{lb} = 1 \, \text{T} \). This means that to convert pounds to tons, we can use the conversion factor:

\[ 1 \, \text{T} = 200 \, \text{lb} \]

To convert \( 42.02 \, \text{lb} \) to tons, we can set up the following equation using the conversion factor:

\[ \text{Tons} = \frac{42.02 \, \text{lb}}{200 \, \text{lb/T}} \]

Now, we perform the division:

\[ \text{Tons} = \frac{42.02}{200} = 0.2101 \]

Next, we round the result to the nearest hundredth:

\[ \text{Tons (rounded)} = 0.21 \]

Final Answer