Respuesta :

isolate the variable by dividing each side by factors that don't contain the variable c=ar/5+0.3a

Answer:

[tex]C=0.2RA+0.3A[/tex]

Step-by-step explanation:

To solve the equation [tex]R=5(\frac{C}{A}-0.3)[/tex] for [tex]C[/tex] you must:

[tex]\mathrm{Switch\:sides}\\\\5\left(\frac{C}{A}-0.3\right)=R[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5\left(\frac{C}{A}-0.3\right)}{5}=\frac{R}{5}[/tex]

[tex]\mathrm{Simplify}\\\\\frac{C}{A}-0.3=\frac{R}{5}[/tex]

[tex]\mathrm{Add\:}0.3\mathrm{\:to\:both\:sides}\\\\\frac{C}{A}-0.3+0.3=\frac{R}{5}+0.3[/tex]

[tex]\mathrm{Simplify}\\\\\frac{C}{A}=0.2R+0.3[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}A\\\\\frac{CA}{A}=0.2RA+0.3A[/tex]

[tex]\mathrm{Simplify}\\\\C=0.2RA+0.3A[/tex]

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