Final answer:
The expression 5(7-4)2 /3 +11 equates to 26 after following the order of operations: bracket calculation, exponents, division and multiplication, and addition and subtraction. The correct answer is C: 26.
Step-by-step explanation:
To answer your question, we first need to evaluate the expression step by step, keeping in mind the order of operations, often remembered as BIDMAS or PEMDAS: brackets/parentheses, indices/exponents, division and multiplication (from left to right), addition and subtraction (from left to right):
- First, solve the expression inside the brackets: 5(7-4)2 /3 +11 becomes 5(3)2 /3 +11.
- Next, handle the exponent: 5(3)2 /3 +11 becomes 5(9) /3 +11 = 45 /3 +11.
- Then, do the division: 45 /3 +11 becomes 15 +11.
- Finally, add 11 to 15 to get the final answer of 26.
So, the solution to the expression 5(7-4)2 /3 +11 is 26, or option C.
Learn more about Order of Operations