Alright, let's go through the steps for converting 3.6 gallons per minute to milliliters per second, and place the correct values in the blanks given in the expression.
1. Convert gallons to liters: Given that 1 gallon is equivalent to 3.79 liters, we start by converting gallons to liters.
[tex]\[
\frac{3.6 \text{ gal}}{1 \text{ min}} \times \frac{3.79 \text{ L}}{1 \text{ gal}}
\][/tex]
2. Convert liters to milliliters: Since 1 liter is equivalent to 1,000 milliliters, we then convert liters to milliliters.
[tex]\[
\frac{3.6 \text{ gal}}{1 \text{ min}} \times \frac{3.79 \text{ L}}{1 \text{ gal}} \times \frac{1000 \text{ mL}}{1 \text{ L}}
\][/tex]
3. Convert minutes to seconds: Finally, convert minutes to seconds, knowing that there are 60 seconds in 1 minute.
[tex]\[
\frac{3.6 \text{ gal}}{1 \text{ min}} \times \frac{3.79 \text{ L}}{1 \text{ gal}} \times \frac{1000 \text{ mL}}{1 \text{ L}} \times \frac{1 \text{ min}}{60 \text{ sec}}
\][/tex]
4. Calculate the final result: The calculated value shows us that 3.6 gallons per minute is equivalent to 227.4 milliliters per second.
Thus, the blanks should be filled as follows:
[tex]\[
\frac{3.6 \text{ gal}}{1 \text{ min}} \times \frac{3.79 \text{ L}}{1 \text{ gal}} \times \frac{1000 \text{ mL}}{1 \text{ L}} \times \frac{1 \text{ min}}{60 \text{ sec}} = 227.4 \frac{1 \text{ mL}}{\text{ sec}}
\][/tex]
So the complete expression is:
[tex]\[
\frac{3.6 \text{ gal}}{1 \text{ min}} \times \frac{3.79 \text{ L}}{1 \text{ gal}} \times \frac{1000 \text{ mL}}{1 \text{ L}} \times \frac{1 \text{ min}}{60 \text{ sec}} = 227.4 \frac{\text{ mL}}{\text{ sec}}
\][/tex]
