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Flashcards: Units

Rewrite the sum of 16 gallons and $\displaystyle y$ pints as a number of quarts.

$\frac{y+64}{2}$ $\displaystyle \frac{y+64}{2}$ quarts

None of the other choices gives the correct response.

$\frac{y+128}{2}$ $\displaystyle \frac{y+128}{2}$ quarts

$\frac{y+128}{4}$ $\displaystyle \frac{y+128}{4}$ quarts

$\frac{y+64}{4}$ $\displaystyle \frac{y+64}{4}$ quarts

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Flashcards: Units

Rewrite the sum of 16 gallons and $\displaystyle y$ pints as a number of quarts.

$\frac{y+64}{2}$ $\displaystyle \frac{y+64}{2}$ quarts

None of the other choices gives the correct response.

$\frac{y+128}{2}$ $\displaystyle \frac{y+128}{2}$ quarts

$\frac{y+128}{4}$ $\displaystyle \frac{y+128}{4}$ quarts

$\frac{y+64}{4}$ $\displaystyle \frac{y+64}{4}$ quarts

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Flashcards: Units

Rewrite the sum of 16 gallons and $\displaystyle y$ pints as a number of quarts.

Your answer:

$\frac{y+64}{2}$ $\displaystyle \frac{y+64}{2}$ quarts

Your answer:

None of the other choices gives the correct response.

Your answer:

$\frac{y+128}{4}$ $\displaystyle \frac{y+128}{4}$ quarts

Your answer:

$\frac{y+64}{4}$ $\displaystyle \frac{y+64}{4}$ quarts

Correct answer:

$\frac{y+128}{2}$ $\displaystyle \frac{y+128}{2}$ quarts

Explanation:

One gallon is equivalent to 4 quarts, so 16 gallons can be converted to quarts by multiplying by conversion factor 4:

$16 \textup{ gal } \times 4\textup{ qt/gal} = 64 \textup{ qt }$ $\displaystyle 16 \textup{ gal } \times 4\textup{ qt/gal} = 64 \textup{ qt }$

One quart is equivalent to 2 pints, so $\displaystyle y$ pints can be converted to quarts by dividing by conversion factor 2:

$y \textup{ pt } \div 2 \textup{ pt/qt} = \frac{y}{2} \textup{ qt}$ $\displaystyle y \textup{ pt } \div 2 \textup{ pt/qt} = \frac{y}{2} \textup{ qt}$

Added together:

$64 \textup{ qt }+ \frac{y}{2} \textup{ qt}$ $\displaystyle 64 \textup{ qt }+ \frac{y}{2} \textup{ qt}$

$= \frac{128}{2} \textup{ qt }+ \frac{y}{2} \textup{ qt}$ $\displaystyle = \frac{128}{2} \textup{ qt }+ \frac{y}{2} \textup{ qt}$

$= \frac{y+128}{2} \textup{ qt }$ $\displaystyle = \frac{y+128}{2} \textup{ qt }$,

the correct response.

Flashcards: Units

Rewrite the sum of $\displaystyle x$ gallons and 10 pints as a number of quarts.

x+20 $\displaystyle x+20$ quarts

$\frac{4x+ 5}{2}$ $\displaystyle \frac{4x+ 5}{2}$ quarts

2x+5 $\displaystyle 2x+5$ quarts

4x+5 $\displaystyle 4x+5$ quarts

$\frac{2x+ 5}{2}$ $\displaystyle \frac{2x+ 5}{2}$ quarts

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Flashcards: Units

Rewrite the sum of $\displaystyle x$ gallons and 10 pints as a number of quarts.

Your answer:

x+20 $\displaystyle x+20$ quarts

Your answer:

$\frac{4x+ 5}{2}$ $\displaystyle \frac{4x+ 5}{2}$ quarts

Your answer:

2x+5 $\displaystyle 2x+5$ quarts

Your answer:

$\frac{2x+ 5}{2}$ $\displaystyle \frac{2x+ 5}{2}$ quarts

Correct answer:

4x+5 $\displaystyle 4x+5$ quarts

Explanation:

One gallon is equivalent to 4 quarts, so $\displaystyle x$ gallons can be converted to quarts by multiplying by conversion factor 4:

$x \textup{ gal } \times 4\textup{ qt/gal} = 4x \textup{ qt }$ $\displaystyle x \textup{ gal } \times 4\textup{ qt/gal} = 4x \textup{ qt }$

One quart is equivalent to 2 pints, so 10 pints can be converted to quarts by dividing by conversion factor 2:

$10 \textup{ pt } \div 2 \textup{ pt/qt} = 5 \textup{ qt}$ $\displaystyle 10 \textup{ pt } \div 2 \textup{ pt/qt} = 5 \textup{ qt}$

Added together:

$4x \textup{ qt }+ 5 \textup{ qt } = 4x+5 \textup{ qt }$ $\displaystyle 4x \textup{ qt }+ 5 \textup{ qt } = 4x+5 \textup{ qt }$,

the correct response.

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Flashcards: Units

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Flashcards: Units

Flashcards: Units

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DMCA Complaint

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