Final answer:
The value of the expression 6 • [11 + 10 ÷ (2 + 3)] + 6 • 3 is calculated by following the order of operations (PEMDAS) to obtain a final result of 96.
Step-by-step explanation:
The question asks to determine the value of the expression 6 • [11 + 10 ÷ (2 + 3)] + 6 • 3. We'll use the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.
- First, solve the parentheses: (2 + 3) = 5.
- Next, division within the brackets: 10 ÷ 5 = 2.
- Add 11 within the brackets: 11 + 2 = 13.
- Multiply the result by 6: 6 • 13 = 78.
- Finally, perform the addition of the second multiplication: 78 + (6 • 3) = 78 + 18 = 96.
Thus, the value of the expression is 96.