Final answer:
To find the count of 2-digit multiples of 5, we calculate the number of terms in the arithmetic sequence from 10 to 95 with a common difference of 5, which is 18.
Step-by-step explanation:
To determine how many 2-digit multiples of 5 there are, we need to consider that any multiple of 5 must end in either 0 or 5. The smallest 2-digit multiple of 5 is 10, and the largest is 95. We can find the total number of 2-digit multiples of 5 by considering that these multiples increase in a sequence where each term is 5 more than the previous term: 10, 15, 20, ..., 95. To find the count of these numbers, we use the formula for the number of terms in an arithmetic sequence, which is ((last term - first term) / common difference) + 1, giving us ((95 - 10) / 5) + 1 = 18.