7.5 Systems of measurement  (Page 2/10)

Solution

Notice that the when we simplified the fraction, we first divided out the inches.

Mary Anne is $5.5$ feet tall.

Solution

We will convert $3.2$ tons into pounds, using the equivalencies in [link] . We will use the Identity Property of Multiplication, writing $1$ as the fraction $\frac{\text{2000 pounds}}{\text{1 ton}}.$

Solution

To convert weeks into minutes, we will convert weeks to days, days to hours, and then hours to minutes. To do this, we will multiply by conversion factors of $1.$

	$\text{9 weeks}$
Write 1 as $\frac{7\text{days}}{1\text{week}},\frac{24\text{hours}}{1\text{day}},\frac{60\text{minutes}}{1\text{hour}}$ .
Cancel common units.
Multiply.	$\frac{9·7·24·60\text{min}}{1·1·1·1}=90,720\text{min}$
	Juliet will be away for 90,720 minutes.

Solution

Use conversion factors to get the right units: convert gallons to quarts, quarts to pints, pints to cups, and cups to fluid ounces.