High School

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Rebekah finds that a solution of sugar in water has a volume of 1.32 fl oz. How should she report this amount using the metric system?

(1 fl oz = 29.6 mL)

A. 0.403 m
B. 1.40 qt
C. 37.5 g
D. 39.1 mL

Answer :

We begin by noting that the conversion factor for fluid ounces to milliliters is given by:

[tex]$$
1 \text{ fl oz} = 29.6 \text{ mL}.
$$[/tex]

Since the solution has a volume of [tex]$1.32 \text{ fl oz}$[/tex], we calculate the volume in milliliters by multiplying the given volume by the conversion factor:

[tex]$$
\text{Volume in mL} = 1.32 \text{ fl oz} \times 29.6 \frac{\text{mL}}{\text{fl oz}}.
$$[/tex]

Performing the multiplication:

[tex]$$
1.32 \times 29.6 \approx 39.072 \text{ mL}.
$$[/tex]

Rounding [tex]$39.072 \text{ mL}$[/tex] to one decimal place, we obtain:

[tex]$$
39.1 \text{ mL}.
$$[/tex]

Thus, the sugar solution should be reported as approximately [tex]$39.1 \text{ mL}$[/tex].

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