Final answer:
The only option equivalent to -36/3 is option a), which is -12.
The other options either result in a positive 12 or are not equivalent to the original expression.
Step-by-step explanation:
The question asks which of the provided options is equivalent to -36/3.
Let's evaluate each option:
A. -12 - Dividing -36 by 3 gives -12, so option A is equivalent to -36/3.
B. -36/-3 - Dividing a negative by a negative gives a positive result, so -36 divided by -3 would result in +12, which is not the same as -36/3.
C. -(-36/3) - This expression is the negation of -36/3. Negating a negative makes it positive, so this would also result in +12, which does not equal -36/3.
D. 36/3 - The division of 36 by 3 is +12, which again is not the same as the negative value we are looking for.
Hence, the equivalent to -36/3 is option A.) -12.