KalynV397197 KalynV397197
  • 25-10-2022
  • Mathematics
contestada

The ratio 13 to X is equivalent to the ratio 104 to y. Which equation represents y in terms of X?

Respuesta :

KelliF420581 KelliF420581
  • 25-10-2022

Answer:

y=8X

Explanation:

The ratio 13 to X = 13:X

The ratio 104 to y = 104:y

If they are equivalent, we have that:

[tex]13\colon X=104\colon y[/tex]

We write the ratios in fraction form.

[tex]\frac{13}{X}=\frac{104}{y}[/tex]

We then make y the subject of the equation.

[tex]\begin{gathered} 13y=104X \\ y=\frac{104X}{13} \end{gathered}[/tex]

We can simplify further to get:

[tex]\begin{gathered} y=\frac{13\times8X}{13} \\ y=8X \end{gathered}[/tex]

This is the equation that represents y in terms of X.

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