Question

Which of the following expressions are equivalent to (16)/(5)? Choose all answers that apply: A -((16)/(5)) B -(-16)/(-5) c. None of the above

Answer 1

Among the options given, -(-16)/(-5) is equivalent to (16)/(5) because a negative divided by a negative results in a positive, making Option B the correct answer.

Step-by-step explanation:

When asked which of the following expressions are equivalent to (16)/(5), we need to look at the options provided closely:

• Option A: -((16)/(5)) is just the negative of (16)/(5), so this is not equivalent.
• Option B: -(-16)/(-5) is equivalent because a negative divided by a negative gives a positive result, and (16)/(5) is positive.
• Option C: None of the above is not correct because we have identified that Option B is equivalent to (16)/(5).

Therefore, the correct answer to which of the following expressions are equivalent to (16)/(5) is Option B: -(-16)/(-5).