Answer :
To convert 145 pounds to kilograms using the given conversion factor [tex]\(1 \text{ lb} = 0.45 \text{ kg}\)[/tex], follow these steps:
1. Identify the conversion factor: We are provided with the conversion factor that states [tex]\(1 \text{ lb} = 0.45 \text{ kg}\)[/tex]. This means that for every pound, there are 0.45 kilograms.
2. Set up the conversion: You want to convert 145 pounds into kilograms. To do this, you multiply the number of pounds by the conversion factor:
[tex]\[
\text{Kilograms} = \text{Pounds} \times \text{Conversion Factor}
\][/tex]
3. Substitute the values: Plug in 145 for the pounds and 0.45 for the conversion factor:
[tex]\[
\text{Kilograms} = 145 \times 0.45
\][/tex]
4. Calculate the result: Perform the multiplication to find the equivalent weight in kilograms:
[tex]\[
\text{Kilograms} = 65.25
\][/tex]
Therefore, 145 pounds is equal to 65.25 kilograms.
Now, regarding the train track method you asked about, the correct setup for this conversion would be:
[tex]\[
\begin{tabular}{c|c}
145 \text{ lb} & \text{kg} \\
\hline
1 &
\end{tabular}
\][/tex]
This setup shows that you start with 145 pounds and use the conversion factor [tex]\(0.45 \text{ kg per lb}\)[/tex] to convert to kilograms, following the same logic we used in the calculations.
1. Identify the conversion factor: We are provided with the conversion factor that states [tex]\(1 \text{ lb} = 0.45 \text{ kg}\)[/tex]. This means that for every pound, there are 0.45 kilograms.
2. Set up the conversion: You want to convert 145 pounds into kilograms. To do this, you multiply the number of pounds by the conversion factor:
[tex]\[
\text{Kilograms} = \text{Pounds} \times \text{Conversion Factor}
\][/tex]
3. Substitute the values: Plug in 145 for the pounds and 0.45 for the conversion factor:
[tex]\[
\text{Kilograms} = 145 \times 0.45
\][/tex]
4. Calculate the result: Perform the multiplication to find the equivalent weight in kilograms:
[tex]\[
\text{Kilograms} = 65.25
\][/tex]
Therefore, 145 pounds is equal to 65.25 kilograms.
Now, regarding the train track method you asked about, the correct setup for this conversion would be:
[tex]\[
\begin{tabular}{c|c}
145 \text{ lb} & \text{kg} \\
\hline
1 &
\end{tabular}
\][/tex]
This setup shows that you start with 145 pounds and use the conversion factor [tex]\(0.45 \text{ kg per lb}\)[/tex] to convert to kilograms, following the same logic we used in the calculations.
