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Verizon [17]
3 years ago
14

Find two consecutive whole numbers that square root of 31 lies between. answer this please.

Mathematics
1 answer:
Sidana [21]3 years ago
7 0

Given :

An irrational number , x=\sqrt{31} .

To Find :

Two consecutive whole numbers that square root of 31 lies between.

Solution :

We know , square root of 36 is 6.

Also, square root of 25 is 5.

Now, we can see that \sqrt{31} lies between 5 and 6. Also, both 5 and 6 are consecutive.

Therefore, between 5 and 6 is the solution.

Hence, this is the required solution.

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Step-by-step explanation:

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3 years ago
If you measure a tds of 1.4%, and you used a brew ratio of 15, what is the percent extraction?
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Answer: the extraction is 18.2%.

Explanation:

Let's see few definitions:
TDS = Total Dissolved Solids = solids dissolved in the brew
PE = Percent Extraction = percent of solids extracted from the dry coffee grounds

The percent extraction can be calculated by the formula:
PE = TDS × Rm

where
Rm = ratio between the mass of the brew and the mass of dry grounds

Now, you need to consider the following facts:
1) every 1g of coffee absorbs 2g of water
2) the given brew ratio is 1:15, which means that for every 1g of grounds we use 15g of water

Let's call
x = grams of coffee grounds we want to use
Therefore the mass of the brew will be: 
m(brew) = water we use - water absorbed by the coffee
              = 15·x - 2·x
              = 13·x

Therefore,
Rm = m(brew) / x
       = 13·x / x
       = 13

Hence, the percent of extraction will be:
PE = <span> TDS × Rm
      = 1.4 </span>× 13
      = 18.2
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