Final answer:
After following the order of operations, the expression evaluates to approximately 29.8485, which rounds to 30. This result does not match any of the multiple-choice options provided.
Step-by-step explanation:
To evaluate the expression 160÷(1+32)+53−102, follow the order of operations, also known as PEMDAS (parentheses, exponents, multiplication and division, and finally addition and subtraction). First, simplify what's inside the parentheses:
- Calculate 1+32, which equals 33.
- Divide 160 by 33 to get approximately 4.8485 (rounded to four decimal places for clarity).
- Calculate 53 which is 125.
- Subtract 102, which is 100, from 125 to get 25.
- Add the results of steps 2 and 4: 4.8485 + 25 equals approximately 29.8485.
The final answer, rounded to the nearest whole number as no indication of significant figures was given in the expression, is 30. However, this is not one of the provided options, which suggests there may have been a typo or mistake in the original expression.