Questions: Use the given equivalents, along with dimensional analysis, to convert the given unit to the unit indicated. 16 oz = 1 lb 2000 lb = 1 T 1 oz ≈ 28 g 1 lb ≈ 0.45 kg 1 T ≈ 0.9 t 400 lb= 888.89 kg (Round to the nearest hundredth as needed.)

Use the given equivalents, along with dimensional analysis, to convert the given unit to the unit indicated.

16 oz = 1 lb
2000 lb = 1 T
1 oz ≈ 28 g
1 lb ≈ 0.45 kg
1 T ≈ 0.9 t

400 lb= 888.89 kg (Round to the nearest hundredth as needed.)

Transcript text: Use the given equivalents, along with dimensional analysis, to convert the given unit to the unit indicated. \[ \begin{aligned} 16 \mathrm{oz} & =1 \mathrm{lb} \\ 2000 \mathrm{lb} & =1 \mathrm{~T} \\ 1 \mathrm{oz} & \approx 28 \mathrm{~g} \\ 1 \mathrm{lb} & \approx 0.45 \mathrm{~kg} \\ 1 \mathrm{~T} & \approx 0.9 \mathrm{t} \end{aligned} \] $400 \mathrm{lb}=$ $\square$ 888.89 kg (Round to the nearest hundredth as needed.)

Solution

Solution Steps

To convert 400 pounds (lb) to kilograms (kg), we can use the given conversion factor that 1 pound is approximately 0.45 kilograms. By multiplying the number of pounds by this conversion factor, we can find the equivalent weight in kilograms.

Step 1: Identify the Conversion Factor

To convert from pounds to kilograms, we use the given conversion factor:
\[ 1 \, \text{lb} \approx 0.45 \, \text{kg} \]

Step 2: Apply the Conversion

Multiply the given weight in pounds by the conversion factor to find the equivalent weight in kilograms:
\[ 400 \, \text{lb} \times 0.45 \, \frac{\text{kg}}{\text{lb}} = 180 \, \text{kg} \]

Step 3: Round the Result

The result is already a whole number, so no further rounding is necessary.