Question

Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number Four-sevenths of a number , increased by fifteen

Answer 1

Given the phrase:

Four-sevenths of a number, increased by fifteen.

Let's write the following phrase as an algebraic expression and simplify.

Let x represent the unknown number.

To write the given phrase as an expression, we have:

`\text{four}-\text{sevenths of a number: }(4)/(7)x`

Increased by 15:

Here we are to add 15 to 4/7x

`(4)/(7)x+15`

Therefore, the algebraic expression that represents the phrase is:

`(4)/(7)x+15`

This expression cannot be simplified further.

ANSWER:

`(4)/(7)x+15`