To determine which of the given numbers could be used to specify how many cups of flour should be used in a bread recipe, we need to consider that the number of cups must be a non-negative rational number.
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Square root of 3: This is an irrational number, and while it is positive, it is not typically used in recipes as a measurement.
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47: This is a positive whole number (and therefore a rational number) and could be used in a recipe.
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Fraction \( \frac{4}{7} \): This is a positive rational number and could be used to specify a measurement.
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Negative 3: This is negative and cannot be used to specify a quantity like cups of flour.
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234: This is also a positive whole number and could be used in a recipe.
Based on this analysis, the numbers that could be used to specify how many cups of flour should be used in a bread recipe are:
- 47
- Fraction \( \frac{4}{7} \)
- 234
So, the correct options are 47, \( \frac{4}{7} \), and 234.