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The table above should be used to convert units, even if a more direct conversion is possible. For each part, the number of ratios required is shown in the table. Note that your ratios for the formulas may either be one of the conversion factors above (like [tex]F_{10}[/tex] or [tex]F_{10} / B_{10}[/tex]) or the reciprocal (like [tex]1 / F_{9}[/tex] or [tex]69 / F_{9}[/tex]), as illustrated in the example. No special formatting is required for the cells containing your formulas. In the blue cells, enter the ratio of units that you multiplied by for each conversion. You should use the abbreviations provided above, including capitalization as given. Watch the video explanations to follow along with A and B.

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
\multicolumn{16}{|c|}{Watch the video explanations to follow along with A and B} \\
\hline
& Initial Quantity & Initial Units & [tex]$\times$[/tex] & First Ratio & Units & [tex]$\times$[/tex] & Second Ratio & Units & [tex]$\times$[/tex] & Third Ratio & Units & = & Final Quantity & Final Units & Videos \\
\hline
Example: Convert fluid ounces per kilogram to milliliters per pound & 25 & floz/kg & [tex]$\times$[/tex] & 29.574 & mL/floz & [tex]$\times$[/tex] & 0.454 & kg/lb & & & & = & 335.358 & mL/lb & Click on the play button to view the video. \\
\hline
A) Convert grams per liter to ounces per gallon & 25 & g/L & [tex]$\times$[/tex] & & & [tex]$\times$[/tex] & & & [tex]$\times$[/tex] & & & = & & & > \\
\hline
B) Convert square meters per milliliter to square feet per teaspoon & 5 & [tex]$m^{2}$[/tex]/mL & [tex]$\times$[/tex] & & & [tex]$\times$[/tex] & & & [tex]$\times$[/tex] & & & = & & & D \\
\hline
\end{tabular}

Complete the similar problems below to finish the DQ.

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
\multicolumn{14}{|c|}{Complete the similar problems below to finish the DQ} \\
\hline
& Initial Quantity & Initial Units & [tex]$\times$[/tex] & First Ratio & Units & [tex]$\times$[/tex] & Second Ratio & Units & [tex]$\times$[/tex] & Third Ratio & Units & = & Final Quantity & Final Units \\
\hline
C) Convert fluid ounces per kilogram to milliliters per pound & Enter Name & floz/kg & [tex]$\times$[/tex] & & & [tex]$\times$[/tex] & & & [tex]$\times$[/tex] & & & = & & \\
\hline
D) Convert square meters per kilograms to square feet per grams & Enter Name & [tex]$m^{2}$[/tex]/kg & [tex]$\times$[/tex] & & & [tex]$\times$[/tex] & & & [tex]$\times$[/tex] & & & = & & \\
\hline
\end{tabular}

Sagot :

GinnyAnsweridn
Sure, let's work through the conversions step by step as per the table structure provided.

### A) Convert grams per liter to ounces per gallon

1. Initial Quantity and Units: 25 grams per liter (g/L)

2. First Ratio:
[tex]\[ \text{Convert grams to ounces: } 1 \text{ gram} = 0.035274 \text{ ounces} \][/tex]
[tex]\[ \text{Intermediate Quantity (ounces per liter)} = 25 \times 0.035274 = 0.88185 \text{ ounces per liter} \][/tex]

3. Second Ratio:
[tex]\[ \text{Convert liters to gallons: } 1 \text{ liter} = 0.264172 \text{ gallons} \][/tex]
[tex]\[ \text{Final Quantity (ounces per gallon)} = \frac{0.88185}{0.264172} \approx 3.338166 \text{ ounces per gallon} \][/tex]

So, our table would look like this for part A:

[tex]\[ \begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & \text{Initial Quantity} & \text{Initial Units} & \times & \text{First ratio} & \text{Units} & \times & \text{Second Ratio} & \text{Units} & & & & = & \text{Final Quantity} & \text{Final Units} & \text{Videos} \\ \hline (A) & 25 & g/L & \times & 0.035274 & oz/g & \times & \frac{1}{0.264172} & L/gallon & & & & = & 3.338166 & oz/gallon & > \\ \hline \end{array} \][/tex]


### B) Convert square meters per milliliter to square feet per teaspoon

1. Initial Quantity and Units: 5 square meters per milliliter (m²/mL)

2. First Ratio:
[tex]\[ \text{Convert square meters to square feet: } 1 \text{ square meter} = 10.7639 \text{ square feet} \][/tex]
[tex]\[ \text{Intermediate Quantity (square feet per milliliter)} = 5 \times 10.7639 = 53.8195 \text{ square feet per milliliter} \][/tex]

3. Second Ratio:
[tex]\[ \text{Convert milliliters to teaspoons: } 1 \text{ milliliter} = 0.202884 \text{ teaspoons} \][/tex]
[tex]\[ \text{Final Quantity (square feet per teaspoon)} = \frac{53.8195}{0.202884} \approx 265.2723 \text{ square feet per teaspoon} \][/tex]

So, our table would look like this for part B:

[tex]\[ \begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & \text{Initial Quantity} & \text{Initial Units} & \times & \text{First ratio} & \text{Units} & \times & \text{Second Ratio} & \text{Units} & & & & = & \text{Final Quantity} & \text{Final Units} & \text{Videos} \\ \hline (B) & 5 & m²/mL & \times & 10.7639 & ft²/m² & \times & \frac{1}{0.202884} & mL/teaspoon & & & & = & 265.2723 & ft²/teaspoon & D \\ \hline \end{array} \][/tex]

For the other parts, similar steps will be followed:

1. Identify the initial quantity and the unit conversions.
2. Apply the required unit conversion ratios.
3. Calculate the final quantities after each step.

If you have any other specific part or conversion to be detailed, please let me know!
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