Question

Use the Distributive Property to solve the equation.3(8a + 12) = 25.843.+ C •12) = 04.a=(Simplify your answers.)

Answer 1

Given the following equation:

`\text{ }(3)/(4)(8a\text{ + 12) = }25.8`

Let's determine the value of a by applying the Distributive Property:

We get,

`\text{ }(3)/(4)(8a\text{ + 12) = }25.8`
`\text{ (}(3)/(4)\text{ }\cdot\text{ 8a) + (}(3)/(4)\text{ }\cdot\text{ 12) = 25.8}`

Answer:

1st Box = 8a

2nd Box = 3/4

3rd Box = 25.8

`\text{ (}\frac{3\text{ x 8a}}{4}\text{) + (}\frac{3\text{ x 12}}{4}\text{) = 25.8}`
`\text{ (}(24)/(4)a\text{) + (}(36)/(4)\text{) = 25.8}`
`\text{ }6a\text{ + }9\text{ = 25.8}`
`\text{ }6a\text{ + }9-9\text{ = 25.8 - 9}`
`\text{ }6a\text{ = 1}6.8`
`\text{ }(6a)/(6)\text{ = }\frac{\text{1}6.8}{6}`
`\text{ a = }2.8`

Therefore, a = 2.8