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3 years ago

Pls help to solve I don't know what is answer

Mathematics

1 answer:

kati45 [8]3 years ago

5 0

Answer:

2020

Step-by-step explanation:

This is an example of what is called an "infinite continued fraction".

For the repeated fraction:

y = 2019 / (2 + 2019 / (2 + 2019 / (2 + 2019 / ...

We can rewrite using substitution:

y = 2019 / (2 + y)

Solving for y:

y (2 + y) = 2019

2y + y² = 2019

y² + 2y + 1 = 2020

(y + 1)² = 2020

y + 1 = ±√2020

y = -1 ± √2020

Since the repeated fraction must be positive, y = -1 + √2020.

Therefore:

x = (1 + y)²

x = (1 + -1 + √2020)²

x = 2020

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3 years ago

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3 years ago

A water container is 1/8 full. 35 litres if water are now poured into the container. The container is now 1/4 full.

Aloiza [94]

Answer:

<em>The container can hold 280 liters of water.</em>

Step-by-step explanation:

<u>Proportions</u>

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If we subtract the final portion of the tank minus the original portion of the container, we obtain the portion that was poured into.

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