We are given that there will be (1/2) a litre after the first pouring, so considering two successive pourings (n and (n+1)) with 1/2 litre in each before the nth pouring occurs:

1/2 × (1/n) = 1/(2n)

1/2 - 1/(2n) = (n-1)/2n

1/2 + 1/(2n) = (n+1)/2n

(n-1)/2n and (n+1)/2n in each urn after the nth pouring

Then now consider the (n+1)th pouring

(n+1)/2n × 1/(n+1) = 1/(2n)

(n+1)/(2n) - 1/(2n) = n/(2n) = 1/2

Therefore this means that after an odd number of pouring, there will be 1/2 a litre in each urn

Since 1997 is an odd number, then there will be 1/2 a litre of water in each urn.

Answer:

3 0

3 years ago

Tell whether the angle is adjacent or vertical. Then find the value of x

Yuki888 [10]

These angles are adjacent angels.
adjacent angels- have a common side and the same vertex.
(pictured below)

To solve this we set the sum of both angles equal to 180°. We do this because they are two adjacent angles on a straight line. The measure of a straight lines angle is 180°.

180= 5x + (x+96)
180=6x+96
84= 6x
x=14

any questions?

6 0

3 years ago