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:
[tex]\text{four}-\text{sevenths of a number: }\frac{4}{7}x[/tex]
Increased by 15:
Here we are to add 15 to 4/7x
[tex]\frac{4}{7}x+15[/tex]
Therefore, the algebraic expression that represents the phrase is:
[tex]\frac{4}{7}x+15[/tex]
This expression cannot be simplified further.
ANSWER:
[tex]\frac{4}{7}x+15[/tex]
