translate the give fhrase into algebraic expresion
7 less than sum of 3 and x divided by 5
(3x - 7) / 5
7 less than sum of 3 and x divided by 5
To translate the given phrase into an algebraic expression, follow these steps:
1. Identify the keywords or phrases in the sentence:
- "sum of": This indicates addition.
- "less than": This indicates subtraction.
- "divided by": This indicates division.
2. Assign variables to the unknown quantities:
Let's represent the unknown quantity by the variable "x."
3. Translate each keyword or phrase into algebraic symbols:
- "the sum of 3 and x divided by 5" translates to (3 + x) / 5.
- "7 less than" translates to -7.
4. Combine the translated phrases:
Therefore, the algebraic expression for "7 less than the sum of 3 and x divided by 5" is:
(3 + x) / 5 - 7.