Question

1. How many hours is 3,500 minutes? (Remember your answer need to have the correct amount of significant figures and the correct units written).2. Two-Step Conversion:How many grams is 45.0 lbs? (Remember your answer need to have the correct amount of significant figures and the correct units written).(1 Kg = 2.2 lbs)3. Three-Step Conversion:How many cm is 4.0 mi? (Remember your answer need to have the correct amount of significant figures and the correct units written).(1 mi = 5280 ft, 1 in=2.54 cm) (hint: cm -> in -> ft -> mi)

Answer 1

We are to convert 3,500 minutes to hours. This is done as shown below:

$\begin{gathered} 60minutes=1hour \\ 3,500minutes=x\cdot hour \\ We\text{ will proceed to solve by cross multiplying, we have:} \\ 60\times x=3,500\times1 \\ 60x=3,500 \\ \text{Make ''x'' the subject of equation, we have:} \\ \frac{60}{60}x=\frac{3,500}{60} \\ x=58.33333\approx58 \\ x=58hours(to\text{ significant figures)} \end{gathered}$