ebonysmith15 ebonysmith15
  • 15-03-2022
  • Mathematics
contestada

If z varies inversely as w?, and z = 20 when w=6, find z when w=4.

Respuesta :

samuellai03
samuellai03 samuellai03
  • 15-03-2022

Answer:

[tex]z = \frac{5}{6}[/tex]

Step-by-step explanation:

[tex]z[/tex] ∝ [tex]\frac{k}{w}[/tex]

Where k is a constant we need to find when solving these questions.

[tex]20 = \frac{k}{6}[/tex]

[tex]k = \frac{10}{3}[/tex]

[tex]z = \frac{10/3}{4}[/tex]

[tex]z = \frac{5}{6}[/tex]

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