Final answer:
The correct use of the distributive property to simplify the expression 5 (3/5 + 2) is shown in option C, where the number 5 is distributed and multiplied with each term inside the parenthesis, resulting in a sum of 13.
Step-by-step explanation:
The correct option that uses the distributive property to simplify the expression 5 (3/5 + 2) is C. To apply the distributive property, we need to multiply the number outside the parenthesis (which is 5 in this case) by each term inside the parenthesis and then sum up the results. Here's how it's done:
5 (3/5) + 5 (2)
= (5 × 3/5) + (5 × 2)
= 3 + 10
= 13
Therefore, option C is correct: 5 (3/5) + 5 (2) = 13.