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r varies jointly as s and t and inversely as u; if r=3/8 when s=10, t=3 and u=56. find r when s=6, t=7 and u=84

Sagot :

[tex]r = \frac{st}{u} k[/tex]
[tex] \frac{3}{8} = \frac{10(3)}{56} k[/tex]
[tex]k = \frac{7}{10} [/tex]
with given s = 6, t = 7 and u = 84 you'll have r as:
[tex]r = \frac{st}{u} k[/tex]
[tex]r = \frac{6(7)}{84} ( \frac{7}{10}) [/tex]
[tex]r = \frac{7}{20} [/tex]