Respuesta :

10/3=k/9
(10/3)9=k
30=k

Answer:

[tex]K=30[/tex]

Step-by-step explanation:

[tex]rewrite \: the \: equation \: as \: \frac{k}{9} = \frac{10}{3} [/tex]

[tex] \frac{k}{9} = \frac{10}{3} [/tex]

[tex]multiply \: both \: sides \: of \: the \: equation \: \\ by \: 9.[/tex]

[tex]9. \frac{k}{9} = 9. \frac{10}{3} [/tex]

[tex]simplify \: both \: sides \: of \: the \: equation.[/tex]

[tex]cancel \: the \: common \: factor \: of \: 9.[/tex]

[tex]cancel \: the \: common \: factor.[/tex]

[tex]9. \frac{k}{9} = 9. \frac{10}{3} [/tex]

[tex]rewrite \: the \: expression.[/tex]

[tex]k = 9. \frac{10}{3} [/tex]

[tex]cancel \: the \: common \: factor \: of \: 3.[/tex]

[tex]factor \: 3 \: out \: of \: 9.[/tex]

[tex]k=3(3)⋅ \frac{10}{3} [/tex]

[tex]cancel \: the \: common \: factor.[/tex]

[tex]k=3⋅3⋅ \frac{10}{3} [/tex]

[tex]rewrite \: the \: expression.[/tex]

[tex]k=3⋅10[/tex]

[tex]multiply \: 3 \: by \: 10.[/tex]

[tex]k = 30[/tex]