Final answer:
To evaluate the expression 57 - 6^2 ÷ (2 + 1) × 4, we follow the order of operations and get the answer 48.
Step-by-step explanation:
To evaluate the expression 57 - 6^2 ÷ (2 + 1) × 4, we follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and finally Addition and Subtraction (from left to right).
- First, we evaluate the exponent 6^2, which is 36.
- Next, we evaluate the expression inside the parentheses (2 + 1), which is 3.
- Then, we divide 36 by 3, which gives us 12.
- Finally, we multiply 12 by 4, which gives us the final answer of 48.
Therefore, the correct answer is d) 33.