Fis going to use a mixture of two brands of italian dressing. the first brand contains 9% vinegar, and the second brand contains 14% vinegar. the chef wants to make 380 milliliters of a dressing that is 12% vinegar. how much of each brand should she use?

Answer is: 152 mL of 9% vinegar and 228 mL of 14% vinegar.

ω₁ = 9% ÷ 100% = 0.09.
ω₂ = 14% ÷ 100% = 0.14.
ω₃ = 12% ÷ 100% = 0.12.
V₁ = ?.

V₂ = ?.
V₃ = V₁ + V₂.
V₃ = 380 mL.

V₁ = 380 mL - V₂.
ω₁ · V₁ + ω₂ ·V₂ = ω₃ · V₃.

0.09 · (380 mL - V₂) + 0.14 · V₂ = 0.12 · 380 mL.

34.2 mL - 0.09V₂ + 0.14V₂ = 45.6 mL.

0.05V₂ = 11.4 mL.

V₂ = 11.4 mL ÷ 0.05.

V₂ = 228 mL.

V₁ = 380 mL - 228 mL.

V₁ = 152 mL.

a rain shadow is a dry region of land on the side that is protected against the prevailing winds of a mountain range. the prevailing winds are the winds that occur most of the time in a particular place of the earth

prevailing winds carry air toward the mountain range. as the air rises up over a mountain range, the air cools, water vapor condenses, and clouds form. on this side of the mountains, called the windward side, precipitation falls in the form of  rain  or snow. this dry air produces a  rain shadow.

pie chart because it is in percents ( % )