thequeenalwayshere thequeenalwayshere
  • 14-06-2021
  • Mathematics
contestada

If p and q vary inversely and p is 22 when q is 5, determine q when p is equal to 2.

Respuesta :

sreedevi102
sreedevi102 sreedevi102
  • 14-06-2021

Answer:

q = 55

Step-by-step explanation:

      [tex]p\ \alpha\ \frac{1}q} \\\\p = k \times \frac{1}{q}\\\\22 = k \times \frac{1}{5}\\\\22 \times 5 = k\\\\k = 110\\\\[/tex]

Find q when p = 2

   [tex]p = k \times \frac{1}{q}\\\\2 = 110 \times \frac{1}{q}\\\\2 \times q = 110\\\\q = \frac{110}{2}\\\\q = 55[/tex]

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