Final answer:
The equation representing the math sentence is (1/3) × (30 - x), constructed by identifying 30 as the known value and x as the variable, then subtracting x from 30 and multiplying the result by one third.
Step-by-step explanation:
The equation for the math sentence "One third times the difference of thirty and a variable is" can be expressed as: (1/3) × (30 - x).
Here's how to construct this equation step-by-step:
- Identify the known value, which is 30.
- Identify the unknown variable, which we represent as x in the equation.
- The word 'difference' indicates a subtraction, so we subtract x from 30, giving us (30 - x).
- Next, the phrase 'one third times' suggests a multiplication by 1/3. Therefore, we multiply (30 - x) by 1/3.
The final equation representing the math sentence is: (1/3) × (30 - x).
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