Starting with a full container, milk is poured three times. first, 1/2 of the milk is poured out, then 1/3 of what remains, and, finally, 1/4 of the remaining milk. after the third pouring, what fraction of the full container of milk remains

1/4 of the full container remains

Step-by-step explanation:

Step 1: Half the milk is poured out

i.e 1/2 of the milk remains

Step 2: 1/3 of what remains is poured out --> 2/3 of the remaining is not poured out.

Hence amount remaining after step 2 = 2/3 x 1/2 = 1/3 of the total

Step 3: 1/4 of what remains is poured out --> 3/4 of the remaining is not poured out.

Hence amount remaining after step 3 = 3/4 x 1/3 = 1/4 of the full container remains

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6