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m varies directly as n and inversely as p. If m=6 when n=3 and p=4, find m when n=1 and p=2​

Sagot :

Answer:

"m varies directly as n and inversely as p" also can be be written as

[tex]m = \frac{kn}{p} [/tex]

First, solve for the k first

Where k is the constant variable

[tex]6 = \frac{k(3)}{4} [/tex]

[tex]6 = \frac{3k}{4} [/tex]

Divide both sides by 3,

[tex] \frac{24}{3} = \frac{3k}{3} [/tex]

k= 8

Now we have k,

Let's solve for the value of m when n=1, and p=2

Equation is

[tex]m = \frac{8n}{p} [/tex]

Substitute the values,

[tex]m = \frac{8(1)}{2} [/tex]

[tex]m = \frac{8}{2} [/tex]

[tex] m = 4[/tex]

So, the value of m = 4, when n= 1and p=2.

Step-by-step explanation:

Sana po makatulong

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