IDNStudy.com, ang iyong mapagkukunan para sa malinaw at mabilis na mga sagot. Makakuha ng mabilis at eksaktong sagot sa iyong mga tanong mula sa aming mga eksperto na laging handang tumulong.

2. If p varies directly as q and inversely as r, and p = 4 when q = 2 and r = 6, find p when q = 4 and r = 8. *** GOD BLESS ****​

Sagot :

[tex]\color{lime}\underline\mathbb{QUESTION:}[/tex]

If p varies directly as q and inversely as r, and p = 4 when q = 2 and r = 6, find p when q = 4 and r = 8.

[tex]\\[/tex]

Given values:

  • p = 4, q = 2, r = 6

Translation: Combined variation

p varies directly as q and inversely as r

  • p = kq/r

[tex]\\[/tex]

===================================

  • p = kq/r
  • 4 = k · 2/6
  • 4 · 6 = 2k
  • 24 = 2k
  • 24/2 = k
  • 12 = k

----------------------------------

  • p = ?, q = 4, r = 8
  • p = 2q/r
  • p = 2 · 4/8
  • p = 8/8
  • p = 1

[tex]\\[/tex]

[tex]\color{yellow}\underline\mathbb{ANSWER:}[/tex]

  • The value of p is 1.