Respuesta :

Answer:

H = 13.67

Step-by-step explanation:

Given:

The the algebraic expression is

[tex]H + \frac{340}{30} = 25[/tex]

We need to write the above equation for h.

Solution:

[tex]H + \frac{340}{30} = 25[/tex]

First we divide the fraction part of the equation by common factor 10.

[tex]H + \frac{34}{3} = 25[/tex]

Subtract both side of the equation by [tex]\frac{34}{3}[/tex].

[tex]H + \frac{34}{3}-\frac{34}{3} = 25- \frac{34}{3}[/tex]

[tex]H = 25- \frac{34}{3}[/tex]

To write  25  as a fraction with a common denominator, multiply by [tex]\frac{3}{3}[/tex].

[tex]H = 25\times \frac{3}{3}- \frac{34}{3}[/tex]

[tex]H = \frac{25\times3}{3}- \frac{34}{3}[/tex]

[tex]H = \frac{75}{3}- \frac{34}{3}[/tex]

[tex]H = \frac{75-34}{3}[/tex]

[tex]H = \frac{41}{3}[/tex]

[tex]H = 13.67[/tex]

Therefore the value of H is 13.67.