![10\text{ + }(w)/(14)](https://img.qammunity.org/2023/formulas/mathematics/college/l823yd2wwpvnrhk5qj4x1tog6hdprp3wdo.png)
Step-by-step explanation:
To express the statement algebraically, we will break down the sentence into phrases or words we can interprete numerically:
the unknown number = w
one fourteenth = 1/14
one fourteenth of some number w:
![\begin{gathered} =(1)/(14)* w \\ =\text{ }(w)/(14) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/u6tegupt2yw0oqntfqbhhfdc3emh49eboh.png)
10 more: it means we will be adding 10 to the algebraic expression after
10 more than one-fourteenth of some number w will be:
![=10\text{ + }(w)/(14)](https://img.qammunity.org/2023/formulas/mathematics/college/3ss6uoyswez6o4du5whiiptjuz98m5dvhm.png)