Final answer:
To determine which ratios are equivalent to 2:3, we need to compare the ratios and find their common multiplier. Therefore, the correct answer is A.
Step-by-step explanation:
To determine which ratios are equivalent to 2:3, we need to compare the ratios by finding their common multiplier. To do this, we can cross-multiply the fractions. For example, for ratio A (14:21), we have 2/3 = 14/21. Since 2 * 7 = 14 and 3 * 7 = 21, we can see that A is equivalent to 2:3. Similarly, we can cross multiply for ratio B (8:30) and ratio C (18:12). By checking if any of the ratios result in an equivalent fraction, we find that A. 14:21 is equivalent to 2:3.