Respuesta :

Answer:

The value of the given expression when z=27 is 16

Therefore [tex]\frac{7}{9}(z-18)+\frac{1}{3}z=16[/tex] when z=27

Step-by-step explanation:

Given expression is [tex]\frac{7}{9}(z-18)+\frac{1}{3}z[/tex]

To find the value of the expression when z=27 :

First simplify the given expression

[tex]\frac{7}{9}(z-18)+\frac{1}{3}z[/tex]

[tex]=\frac{7(z-18)}{9}+\frac{1}{3}z[/tex]

[tex]=\frac{7z-126}{9}+\frac{1}{3}z[/tex]

[tex]=\frac{7z-126+3z}{9}[/tex]

[tex]=\frac{7z-126+3z}{9}[/tex]

[tex]=\frac{10z-126}{9}[/tex]

Put z=27 in the above equation we get

[tex]=\frac{10(27)-126}{9}[/tex]

[tex]=\frac{270-126}{9}[/tex]

[tex]=\frac{144}{9}[/tex]

[tex]=\frac{144}{9}[/tex]

[tex]=16[/tex]

[tex]\frac{7}{9}(z-18)+\frac{1}{3}z=16[/tex]

Therefore the value of the given expression when z=27 is 16

Therefore [tex]\frac{7}{9}(z-18)+\frac{1}{3}z=16[/tex] when z=27

Answer:

Answer is 12

Step-by-step explanation:

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