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if m varies directly as n, and m = 60 when n = 20, find m when n = 32​

Sagot :

Answer:

m=96

Step-by-step explanation:

Pa brainliest po. Thank you

Answer:

m=96

Step-by-step explanation:

Plugging in our initial statement values of m = 60 when n = 20, we get:

[tex]60 = 20k[/tex]

Divide each side by 20 to solve for k:

[tex]\frac{60}{20} =\frac{20k}{20}[/tex]

[tex]k=3\\[/tex]

Solve the second part of the variation equation:

Because we have found our relationship constant k = 3, we form our new variation equation:

[tex]m = 3n[/tex]

Since we were given that n = 32, we have

[tex]m = 3n[/tex]

[tex]\huge{\boxed{m=96}}[/tex]

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