The same amount is expressed by both measurements in which of the following pairs?

Rationale

30 mL and 1 fl oz express the same amount.

Both measurements refer to a volume of liquid, with 30 mL being equivalent to 1 fluid ounce (fl oz) in the United States customary system. This conversion reflects standard volume measurements used in cooking and pharmaceuticals, making them directly interchangeable.

A (2.2 mg and 1 lb) YOUR ANSWER

This option compares milligrams to pounds, which are vastly different units of mass. Specifically, 1 pound equals approximately 453,592 milligrams, meaning that 2.2 mg is a tiny fraction of a pound. Therefore, these two measurements cannot be equated.

B (30 mL and 1 fl oz) CORRECT

As mentioned earlier, 30 mL is equivalent to 1 fluid ounce. This equivalence is commonly used in various applications, particularly in cooking and medicine, where accurate volume measurement is crucial. Therefore, this pair of measurements correctly expresses the same amount.

C (15 mL and 1 tsp) YOUR ANSWER

This choice compares milliliters to teaspoons, where 1 teaspoon is equivalent to approximately 4.93 mL. Thus, 15 mL is equal to about 3 teaspoons, indicating a significant difference between the two measurements. Consequently, they do not express the same amount.

D (28 oz and 1 g) YOUR ANSWER

This selection contrasts ounces with grams, where 1 ounce equals approximately 28.35 grams. Therefore, 28 ounces is equal to around 793.8 grams, demonstrating a clear discrepancy between the two units of mass. As such, they cannot be considered equivalent.

Conclusion

In summary, the only pair of measurements that accurately expresses the same amount is 30 mL and 1 fl oz. The other options highlight the significant differences between various units of mass and volume, illustrating the necessity of understanding standard conversions in measurements. This knowledge is essential for precise calculations across scientific and practical applications.

The same amount is expressed by both measurements in which of the following pairs?

30 mL and 1 fl oz express the same amount.

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