Kesley is thinking of a number. She says that it’s the sum of a number and nine. Multiplied by 2/3, is equal to -18.

Answer:
Only the firsts and fourth choices ([tex]\frac{2}{3}(x+9)=-18[/tex] and [tex]\frac{2}{3}x+6=-18[/tex])
Step-by-step explanation:
Turn the equation into words:
"A number plus 9"
[tex](x+9)[/tex]
"Multiplied by [tex]\frac{2}{3}[/tex]"
[tex]\frac{2}{3} (x+9)[/tex]
"Is equals to -18"
[tex]\frac{2}{3}(x+9)=-18[/tex]
Distribute to find the second equation:
[tex]\frac{2}{3}(x+9)=-18\\\frac{2}{3}x+6=-18[/tex]