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Question Number 108913 by Rasheed.Sindhi last updated on 20/Aug/20

IF F  varies directly as A and N,  find  the constant of  proportionality when A=182,  F=365 and N=80.

$$\mathcal{IF}\:{F}\:\:{varies}\:{directly}\:{as}\:{A}\:{and}\:{N}, \\ $$$${find}\:\:{the}\:{constant}\:{of} \\ $$$${proportionality}\:{when}\:{A}=\mathrm{182}, \\ $$$${F}=\mathrm{365}\:{and}\:{N}=\mathrm{80}. \\ $$

Answered by Don08q last updated on 20/Aug/20

 F = kAN, where k is the constant   365 = k(182)(80)   k = ((365)/(182×80))   k = ((73)/(2912))

$$\:{F}\:=\:{kAN},\:{where}\:{k}\:{is}\:{the}\:{constant} \\ $$$$\:\mathrm{365}\:=\:{k}\left(\mathrm{182}\right)\left(\mathrm{80}\right) \\ $$$$\:{k}\:=\:\frac{\mathrm{365}}{\mathrm{182}×\mathrm{80}} \\ $$$$\:{k}\:=\:\frac{\mathrm{73}}{\mathrm{2912}} \\ $$

Commented by Rasheed.Sindhi last updated on 20/Aug/20

 THanks Sir!

$$\:\mathcal{TH}{anks}\:\mathcal{S}{ir}! \\ $$

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