Mary uses 212 cups of lemonade concentrate to make 20 servings of lemonade. How many servings can Mary make using 1 gallon of lemonade concentrate? Please include an explanation :)

number of servings = 1.5

Step-by-step explanation:

1 gallon = 16 Cups

cups of lemonade concentrate : lemonade servings

212 cups : 20 servings

How many servings can Mary make using 1 gallon of lemonade concentrate

Let

x = number of servings

cups of lemonade concentrate : lemonade servings

16 cups : x servings

Equate both ratios to get x

212 : 20 = 16 : x

212 / 20 = 16 / x

Cross product

212 * x = 20 * 16

212x = 320

x = 320 / 212

= 1.5094339622641

Approximately 1.5 servings

number of servings = 1.5

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.