emmapeaxoxok emmapeaxoxok
  • 08-05-2021
  • Mathematics
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If p and q vary inversely and pis 11 when q is 18, determine q when p is equal to 9.

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Muscardinus Muscardinus
  • 13-05-2021

Answer:

q = 22

Step-by-step explanation:

Given that,

p and q are inversely proportional to each other i.e.

[tex]p=\dfrac{k}{q}[/tex]

Put p = 11 and q = 18

So,

[tex]11=\dfrac{k}{18}\\\\k=11\times 18\\\\k=198[/tex]

Now put k = 198, p = 9 and find q. So,

[tex]q=\dfrac{k}{p}\\\\q=\dfrac{198}{9}\\\\q=22[/tex]

Hence, the value of q is equal to 22.

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