Given the following equation:
[tex]\text{ }\frac{3}{4}(8a\text{ + 12) = }25.8[/tex]
Let's determine the value of a by applying the Distributive Property:
We get,
[tex]\text{ }\frac{3}{4}(8a\text{ + 12) = }25.8[/tex][tex]\text{ (}\frac{3}{4}\text{ }\cdot\text{ 8a) + (}\frac{3}{4}\text{ }\cdot\text{ 12) = 25.8}[/tex]
Answer:
1st Box = 8a
2nd Box = 3/4
3rd Box = 25.8
[tex]\text{ (}\frac{3\text{ x 8a}}{4}\text{) + (}\frac{3\text{ x 12}}{4}\text{) = 25.8}[/tex][tex]\text{ (}\frac{24}{4}a\text{) + (}\frac{36}{4}\text{) = 25.8}[/tex][tex]\text{ }6a\text{ + }9\text{ = 25.8}[/tex][tex]\text{ }6a\text{ + }9-9\text{ = 25.8 - 9}[/tex][tex]\text{ }6a\text{ = 1}6.8[/tex][tex]\text{ }\frac{6a}{6}\text{ = }\frac{\text{1}6.8}{6}[/tex][tex]\text{ a = }2.8[/tex]
Therefore, a = 2.8
