Question

Solve for x: one over four (4x + 15) = 24 (5 points)
49
two hundred seven over four
eighty one over four
9

Answer 1

Given\[\frac{ 1 }{ 4 }(4x+15)=24\]Simplify both sides of the equation and distribute \[\frac{ 1 }{ 4 }(4x+15)=24\]\[\left(\begin{matrix}\frac{ 1 }{ 4 }\end{matrix}\right)(4x)+\left(\begin{matrix}\frac{ 1 }{ 4 }\end{matrix}\right)(15)=24\]\[x+\frac{ 15 }{ 4 }=24\]Subtract ¹⁵⁄₄ from both sides \[x+\frac{ 15 }{ 4 }-\frac{ 15 }{ 4 }=24-\frac{ 15 }{ 4 }\]\[x=\frac{ 81 }{ 4 }\]Therefore, your answer is C\[x=\frac{ 81 }{ 4 }\]

Answer 2

Also, welcome to QuestionCove, @autumnspivey.

Answer 3

Also another way to do this
\[1/4(4x+15)=24\]
Multiply both sides by 4
\[4x+15=96\]
\[4x+15-15=96-15\]
\[4x=81\]
\[x=81/4\]

Answer 4

2.25
i think