AkivaI238051 AkivaI238051
  • 03-11-2022
  • Mathematics
contestada

Solve the proportions 28/35=8/r

Respuesta :

JhourniX415493 JhourniX415493
  • 03-11-2022

ANSWER

r = 10

EXPLANATION

To solve for r first we have to put r in the numerator. To do that, we have to multiply both sides of the proportion by r:

[tex]\begin{gathered} \frac{28}{35}\cdot r=\frac{8}{r}\cdot r \\ \frac{28}{35}r=8 \end{gathered}[/tex]

Now, we have to multiply both sides by 35:

[tex]\begin{gathered} \frac{28}{35}r\cdot35=8\cdot35 \\ 28r=280 \end{gathered}[/tex]

And finally divide both sides by 28:

[tex]\begin{gathered} \frac{28r}{28}=\frac{280}{28} \\ r=10 \end{gathered}[/tex]

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