Final answer:
The mathematical expression 60 divided by 5(7-4) simplifies to 4, by first solving the expression within the parentheses, then multiplying it by 5 and finally dividing 60 by that result.
Step-by-step explanation:
To solve the mathematical expression given by the student, 60 divided by 5(7-4), you need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). First, you solve the expression in the parentheses.
7 - 4 equals 3. Next, you multiply that result by 5, so 5 times 3 equals 15. Lastly, you divide 60 by the result, which is 15. So, 60 divided by 15 equals 4.
The final answer to the expression 60 divided by 5(7-4) is 4.