If y varies inversely as x and y= 6 when x = 24, find x when y = 12?

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2007-01-18 08:40:32 · 4 answers · asked by Math Freak 1990 1 in Science & Mathematics ➔ Mathematics

x = 12

2007-01-18 08:44:48 · answer #1 · answered by Alavalathi 3 · 0⤊ 0⤋

If Y varies inversely as X the Y = k/X where k is a constant. if Y=6 when X=24 then 6=k/24 therefore k=6*24 or 144. When Y=12, X=144/12 or 12

2007-01-18 16:46:21 · answer #2 · answered by Scitech05 2 · 0⤊ 0⤋

(6*24)/12 = 12

2007-01-18 16:45:11 · answer #3 · answered by Wortex 2 · 0⤊ 0⤋

So, y = n/x

6 = n/24 => n=6*24= 144

Thus, y = 144/x

Therefore, 12= 144/x => x=12

Done.

2007-01-18 16:46:21 · answer #4 · answered by Jerry P 6 · 0⤊ 0⤋