Final answer:
To evaluate the expression, 32 + (6 - 2) * 4 - 6 ÷ 3, the order of operations results in an answer of 46, which is not among the provided options.
Step-by-step explanation:
To evaluate the expression: 32 + (6 - 2) * 4 - 6 ÷ 3, we must follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
We perform operations inside parentheses first, followed by multiplication/division from left to right, and then addition/subtraction from left to right.
- Calculate inside the parentheses first: (6 - 2) = 4.
- Multiply: 4 * 4 = 16.
- Divide: 6 ÷ 3 = 2.
- Now perform addition and subtraction from left to right: 32 + 16 - 2 = 46.
The correct answer is 46, which is not listed among the options provided.