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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

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Answer

The order from largest to smallest is: 5 gal, 41 c, 16 pt, 6 qt.

Solution

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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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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