Final answer:
The algebraic sentence that represents the verbal sentence "ten less than two-thirds of a number results in 15" is 2/3x - 10 = 15
Step-by-step explanation:
The verbal sentence, "ten less than two-thirds of a number results in 15" can be represented algebraically as:
2/3x - 10 = 15
To understand this algebraic representation, let's break it down:
- The number is represented by 'x'.
- The phrase 'two-thirds of a number' can be written as '2/3x'.
- The phrase 'ten less than' indicates subtraction, so we subtract 10 from '2/3x'.
- The result is equal to 15, so we set the equation equal to 15: '2/3x - 10 = 15'.