Question

3 times 8 plus 2 open parentheses 15 divided by 3 times 6 minus 9 close parentheses

Answer 1

To solve the mathematical expression 3 times 8 plus 2 times (15 divided by 3 times 6 minus 9), we must follow the order of operations—first solving within the parentheses, then multiplication, and finally addition, resulting in the answer 66.

Step-by-step explanation:

The mathematics problem given is 3 times 8 plus 2 times (15 divided by 3 times 6 minus 9). This problem requires an understanding of the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). Let's solve this step by step.

1. The given expression is:

1. 3 x 8 + 2(15 ÷ 3 x 6 - 9)

1. To solve this expression, we need to follow the order of operations, also known as PEMDAS:

1. Perform the operations inside the parentheses first: 15 ÷ 3 = 5

1. Next, multiply 5 by 6: 5 x 6 = 30

1. Subtract 9 from 30: 30 - 9 = 21

1. Now, perform the multiplication and addition outside the parentheses: 3 x 8 = 24

1. Add 21 to 24: 24 + 21 = 45

1. Therefore, the value of the given expression is 45.

Thus, the solution to the problem is 66.