To determine in which table the missing value \( x \) equals 70, we can analyze each of the tables provided:
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Table 1: Pints and Cups
- Pints: 12, 18, 26, 36
- Cups: 24, 36, 52, \( x \)
- The relation appears to involve multiplying pints by 2. For instance:
- \( 12 \text{ pints} = 24 \text{ cups} \)
- \( 18 \text{ pints} = 36 \text{ cups} \)
- \( 26 \text{ pints} = 52 \text{ cups} \)
- For \( 36 \text{ pints} \): \( 36 \times 2 = 72 \text{ cups} \)
- \( x = 72 \), not 70.
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Table 2: Gallons and Quarts
- Gallons: 2, 6, 12, 18
- Quarts: 8, 24, 48, \( x \)
- The relation involves multiplying gallons by 4. For instance:
- \( 2 \text{ gallons} = 8 \text{ quarts} \)
- \( 6 \text{ gallons} = 24 \text{ quarts} \)
- \( 12 \text{ gallons} = 48 \text{ quarts} \)
- For \( 18 \text{ gallons} \): \( 18 \times 4 = 72 \text{ quarts} \)
- \( x = 72 \), not 70.
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Table 3: Stone and Pounds
- Stone: 2, 5, 6, 7
- Pounds: 28, \( x \), 84, 98
- The relation appears to involve multiplying stone by 14. For instance:
- \( 2 \text{ stone} = 28 \text{ pounds} \)
- \( 5 \text{ stone} = 70 \text{ pounds} \)
- \( 6 \text{ stone} = 84 \text{ pounds} \)
- \( 7 \text{ stone} = 98 \text{ pounds} \)
- Here, \( x = 70 \), which matches our requirement.
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Table 4: Pints and Ounces
- Pints: 2, 3, 4, 5
- Ounces: 32, 48, 64, \( x \)
- The relation appears to be multiplying pints by 16. For instance:
- \( 2 \text{ pints} = 32 \text{ ounces} \)
- \( 3 \text{ pints} = 48 \text{ ounces} \)
- \( 4 \text{ pints} = 64 \text{ ounces} \)
- \( 5 \text{ pints} = 80 \text{ ounces} \)
- \( x = 80 \), not 70.
The only table where the missing value \( x \) equals 70 is Table 3 (Stone and Pounds).
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