Pregunta
Arrange the following measurements in order from largest to smallest and select the correct answer: \[ 41 \mathrm{c}, 6 \mathrm{qt}, 16 \mathrm{pt}, 5 \mathrm{gal} \] (click to select)
Ask by Summers Chavez. in Canada
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The order from largest to smallest is: 5 gal, 41 c, 16 pt, 6 qt.
Solución
To arrange the measurements from largest to smallest, we first need to convert all measurements to the same unit. Let's convert everything to quarts (qt) for consistency.
1. **Convert gallons to quarts:**
\[
1 \text{ gal} = 4 \text{ qt}
\]
Therefore,
\[
5 \text{ gal} = 5 \times 4 \text{ qt} = 20 \text{ qt}
\]
2. **Convert pints to quarts:**
\[
1 \text{ pt} = \frac{1}{2} \text{ qt}
\]
Therefore,
\[
16 \text{ pt} = 16 \times \frac{1}{2} \text{ qt} = 8 \text{ qt}
\]
3. **Convert cups to quarts:**
\[
1 \text{ c} = \frac{1}{4} \text{ qt}
\]
Therefore,
\[
41 \text{ c} = 41 \times \frac{1}{4} \text{ qt} = 10.25 \text{ qt}
\]
Now we have all measurements in quarts:
- \( 5 \text{ gal} = 20 \text{ qt} \)
- \( 16 \text{ pt} = 8 \text{ qt} \)
- \( 41 \text{ c} = 10.25 \text{ qt} \)
- \( 6 \text{ qt} = 6 \text{ qt} \)
Now we can arrange them from largest to smallest:
1. \( 20 \text{ qt} \) (5 gal)
2. \( 10.25 \text{ qt} \) (41 c)
3. \( 8 \text{ qt} \) (16 pt)
4. \( 6 \text{ qt} \) (6 qt)
Thus, the order from largest to smallest is:
\[ 5 \text{ gal}, 41 \text{ c}, 16 \text{ pt}, 6 \text{ qt} \]
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Extra Insights
To arrange the measurements from largest to smallest, let’s first convert them to the same unit for a fair comparison. 1. 5 gallons (gal) = 20 quarts (qt) = 40 pints (pt) = 160 cups (c) 2. 6 quarts (qt) = 24 pints (pt) = 48 cups (c) 3. 16 pints (pt) = 32 cups (c) 4. 41 cups (c) is already in cups. Now we have: - 5 gal = 80 pt = 320 c - 6 qt = 24 pt = 96 c - 16 pt = 32 c - 41 c = 41 c Arranging these in order from largest to smallest gives: 5 gal, 6 qt, 16 pt, 41 c.

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