Find tan θ if sec θ = root 37/6 and sin θ < 0

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

What are the sotions to the quadratic equation 9x^2=4

43lbs of tomatos cost $387. how much would 41lbs cost