Final answer:
The correct expression for 'ten times the difference of a number and six' is '10(n - 6)', which is '10n - 60' when expanded. None of the provided options correctly represents this expression.
Step-by-step explanation:
The correct expression for 'ten times the difference of a number and six' is formulated by first finding the difference between the variable (let's call it 'n') and six, which is expressed as 'n - 6'. After finding the difference, you multiply the result by ten to get '10(n - 6)'. Therefore, the correct expression is not directly given in the options, but if we expand '10(n - 6)', it becomes '10n - 60'. This is ten times the difference of a number and six. None of the given options a) 10(n) - 6, b) 10/6, c) 10 - 6n, or d) 6n - 10 correctly represent the intended mathematical expression.