Achef plans to mix 100% vinegar with italian dressing. the italian dressing contains 5% vinegar. the chef wants to make 150 milliliters of a mixture that contains 24% vinegar. how much vinegar and how much italian dressing should she use?

Suppose the chef mixes x mL of vinegar with y mL of the dressing with 5% vinegar. She wants to end up with a 150 mL mixture, so

x + y = 150

Each mL of pure vinegar contributes - no surprise here - 1 mL of vinegar to the new mixture. Each mL of the 5% vinegar dressing contributes 0.05 mL of vinegar. She wants a dressing with 24% vinegar, meaning 24% of the 150 mL solution should be vinegar, or 36 mL, so

x + 0.05y = 36

Now

x + y = 150 ==> y = 150 - x

x + 0.05(150 - x) = 36 ==> x + 7.5 - 0.05x = 36 ==> 0.95x = 28.5 ==> x = 30

which gives

y = 150 - x ==> y = 120

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.