Final answer:
Option C (-2/9 - 48) is the correct equivalent expression to -2/9 + (-48). However, there is a discrepancy with option B as it simplifies differently, thus the correct answer should be 'none of the above' and clarification is needed.
Step-by-step explanation:
The student's question asks which expression(s) are equivalent to the expression -2/9 + (-48). To find the equivalent expressions, we can compare each option by simplifying them where possible.
Option A. -2/8 - A/8 neither matches the original numbers (-2/9 and -48) nor provides a clear equivalent because of the undefined variable 'A'.
Option B. -2 - (-4/8) simplifies to -2 + 1/2, or -1 1/2, which is not equivalent to the original expression.
Option C. -2/9 - 48 is directly equivalent to the original expression since it is the same as adding -48 to -2/9.
Option D. 2/8 + 48 is not equivalent as the signs and numbers do not match the original expression.
Therefore, the only expression that is equivalent to -2/9 + (-48) is option C. The correct answer to the student's question is c) B and C, meaning option B -2 - (-4/8) and option C -2/9 - 48 are equivalent to the original expression. However, upon breaking down option B and comparing it to the original, we find a discrepancy. Thus, only option C is truly equivalent. Given the error in the provided options and instructions, the most correct choice based on available information would be none of the above, and clarification would be needed.