Celine has a bottle that contains 20% milk and the rest water. the bottle has 1 liter of water. part a: write an equation using one variable that can be used to find the total number of liters of milk and water in the bottle. define the variable used in the equation and solve the equation. hint: 0.2x represents the number of liters of milk in the bottle. (5 points) part b: how many liters of milk are present in the bottle? show your work. (5 points)

  A)  0.2x +1 = x . . . . x is the volume of liquid in the bottle (liters)

  B)  0.25 liters of milk are in the bottle

Step-by-step explanation:

It is often convenient to define a variable as the answer to the question. Here, the question says "find the total number of liters of milk and water in the bottle", so that is the definition of our variable, x.

A) The problem statement tells us that 20% of the liquid is milk, so that amount is 0.2x (as the hint says). Then the sum of milk volume and water volume is the total volume:

  0.2x + 1 = x . . . . . . . an equation in one variable that can find total volume

We can solve this equation by subtracting 0.2x, then dividing by the coefficient of x.

  1 = 0.8x

  1/0.8 = x = 1.25 . . . the total number of liters of milk and water is 1.25

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B) The number of liters of milk is 0.2x, so is 0.2·1.25 = 0.25

  There are 0.25 liters of milk in the bottle.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.