Respuesta :
So the first step to solving this problem is to distribute the [tex] \frac{1}{4} [/tex]
to what's inside the parenthesis. This means multiply [tex] \frac{1}{4} [/tex] by 4x and 15.
After that, this is what you shoud have.
[tex] \frac{4x}{4} [/tex] + [tex] \frac{15}{4} [/tex] = 24
This should be simplified
1x = 24 - [tex] \frac{15}{4} [/tex]
[tex] \frac{15}{4} [/tex] is equal to 3.75
x = 20.25
20.25 is equal to [tex] \frac{81}{4} [/tex]
to what's inside the parenthesis. This means multiply [tex] \frac{1}{4} [/tex] by 4x and 15.
After that, this is what you shoud have.
[tex] \frac{4x}{4} [/tex] + [tex] \frac{15}{4} [/tex] = 24
This should be simplified
1x = 24 - [tex] \frac{15}{4} [/tex]
[tex] \frac{15}{4} [/tex] is equal to 3.75
x = 20.25
20.25 is equal to [tex] \frac{81}{4} [/tex]
Following are the calculation to the given equation:
Given:
[tex]\bold{\frac{1}{4}(4x+15)=24}[/tex]
To find:
x=?
Solution:
[tex]\to \bold{\frac{1}{4}(4x+15)=24}\\\\\to \bold{(\frac{4x}{4}+\frac{15}{4})=24}\\\\\to \bold{(x+\frac{15}{4})=24}\\\\\to \bold{(x)=24-\frac{15}{4}}\\\\\to \bold{(x)=\frac{96-15}{4}}\\\\\to \bold{(x)=\frac{81}{4}}\\\\[/tex]
Therefore, the final answer is "Option 3".
Learn more:
brainly.com/question/7510490