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FinnZ [79.3K]
3 years ago
10

Sarah and get 2 friends split a bag of candy evenly. They each ate 13 pieces of candy and there were 2 pieces left over. How man

y pieces of candy were originally in the bag
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0
I cant tell if the problem wasn’t writing correctly when u said “sarah and get 2 friends?”
i think you might of meant sarah and ___ get two friends?? please correct me but if it was meant to have another name after sarah then this would be the answer:
There was 54 original pieces
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\dfrac{2}{\sqrt3\cos x+\sin x}=\sec\left(\dfrac{\pi}{6}-x\right)\\\\\dfrac{2}{\sqrt3\cos x+\sin x}=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}\ \ \ \ \ (*)\\----------------\\\\\cos\left(\dfrac{\pi}{6}-x\right)\ \ \ \ |\text{use}\ \cos(x-y)=\cos x\cos y+\sin x\sin y\\\\=\cos\dfrac{\pi}{6}\cos x+\sin\dfrac{\pi}{6}\sin x=\dfrac{\sqrt3}{2}\cos x+\dfrac{1}{2}\sin x=\dfrac{\sqrt3\cos x+\sin x}{2}\\------------------------------

(*)\\R_s=\sec\left(\dfrac{\pi}{6}-x\right)=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}=\dfrac{1}{\dfrac{\sqrt3\cos x+\sin x}{2}}\\\\=\dfrac{2}{\sqrt3\cos x+\sin x}=L_s

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