Final answer:
The first operation performed when evaluating 5(9x-3) ÷ 2 for x=4 is substitution, followed by simplification and then division. The simplified expression is 165 ÷ 2 = 82.5.
Step-by-step explanation:
When evaluating the expression 5(9x-3) ÷ 2 for x=4, the first operation to perform is substitution. We substitute x=4 into the expression to get:
5(9(4)-3) ÷ 2
Simplifying, we have:
5(36-3) ÷ 2
Next, we perform the operation inside the parentheses:
5(33) ÷ 2
Finally, we perform the division:
165 ÷ 2 = 82.5