IplayMTG IplayMTG
  • 20-03-2021
  • Mathematics
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inverse equation t=120r/r+120 R=???

inverse equation t120rr120 R class=

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sqdancefan
sqdancefan sqdancefan
  • 20-03-2021

9514 1404 393

Answer:

  r = 120t/(120-t)

Step-by-step explanation:

Multiply by the denominator, isolate r terms, then divide by the coefficient of r.

  [tex]t=\dfrac{120r}{r+120}\qquad\text{given}\\\\t(r+120)=120r\qquad\text{multiply by $(r+120)$}\\\\120t=120r-tr\qquad\text{subtract $tr$}\\\\\dfrac{120t}{120-t}=r\qquad\text{divide by the coefficient of $r$}\\\\\boxed{r=\dfrac{120t}{120-t}}[/tex]

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