To calculate the number of nails needed using the rule “Divide the length of the beam by 3,” we will divide the given lengths by 3.
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For 9 inches: \[ \text{Number of Nails} = \frac{9}{3} = 3 \]
- Length of Beam: 9 inches
- Number of Nails: 3
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For 15 inches: \[ \text{Number of Nails} = \frac{15}{3} = 5 \]
- Length of Beam: 15 inches
- Number of Nails: 5 (not given in the options)
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For 8 inches: \[ \text{Number of Nails} = \frac{8}{3} \approx 2.67 \text{ (rounded down to 2 nails)} \]
- Length of Beam: 8 inches
- Number of Nails: 2 (again not an option)
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For 10 inches: \[ \text{Number of Nails} = \frac{10}{3} \approx 3.33 \text{ (rounded down to 3 nails)} \]
- Length of Beam: 10 inches
- Number of Nails: 3 (already used)
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For 39 inches: \[ \text{Number of Nails} = \frac{39}{3} = 13 \]
- Length of Beam: 39 inches
- Number of Nails: 13
Summary of filled responses:
- Length of Beam in Inches: 9, 15, 39
- Number of Nails: 3, 5, 13
Based on the information aligned to your boxes:
- Length of Beam 15 inches; Number of Nails Unknown = 5 (if the option exists)
- Length of Beam 39 inches; Number of Nails = 13
- Length of Beam 9 inches; Number of Nails = 3
The mapping for the answers based on available choices should be completed accordingly.