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henry is filling his fish tank up with water at a constant rate

five minutes after henry began filling the tank the water level was 17 cm
twelve minutes after henry began filling the tank, the water level was 38cm

what was the water level at 0 minutes when henry began to fill the tank?

Respuesta :

AwayEnlightens

Answer:

4

Step-by-step explanation:

5:17 & 12:38

If he started at x gallons and after five minuites there was 17 cm of water and after 12 minuiyes the water level was 38, so in 17 minuites the water was at a level of 38 cm. If I explain this bit it'll be too confusing but I used logic to find out that x, how much water was in the bowl before they started pouring is 4

The arithmetic series solved shows that the the water level was 5cm from the beginning.

How to solve the series

The question can be solved by using an arithmetic progression. The formula to use will be a + (n - 1)d

where,

a = first term

n = number of terms

d = common difference

After five minutes, the water level was 17cm. This will be represented as a + 4d = 17.

After twelve minutes, the water level was 38cm. This will be represented as a + 11d = 38

Now we've to collate the two equations and solve. This will be:

a + 4d = 17 ..... i

a + 4d = 17 ..... ia + 11d = 38 .... ii

Subtract equation i from ii

7d = 21

d = 21/7 = 3

Since a + 4d = 17

Substitute the value of d into the equation.

a + 4(3) = 17

a + 12 = 17

a = 17 - 12

a = 5

Therefore, the water level was 5cm from the beginning.

Learn more about arithmetic series on:

https://brainly.com/question/6561461