Mathematics: Find the value of p if the arithmetic mean of 3 and 3p+5=31

Find the value of p if the arithmetic mean of 3

Ответ:

scholar13

26.09.2021

Mathematics

Statement:

The arithmetic mean of 3 and 3p+5 is 31.

To find out:

The value of p.

Solution:We know

$mean \: \: \: = \: \: \: \frac{sum \: \: \: of \: \: \: all \: \: \: the \: \: \: terms}{number \: \: \: of \: \: \: terms}$

Therefore,

$\frac{3 + (3p + 5)}{2} = 31 \\ = \frac{3p + 8}{2} = 31 \\ = 3p + 8 = 31 \times 2 \\ = 3p + 8 = 62 \\ = 3p = 62 - 8 \\ = 3p = 54 \\ = p = \frac{54}{3} \\ = p = 18$

The value of p is 18.

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Ответ:

Cedars6976

03.12.2021

Mathematics

Step-by-step explanation:

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Find the value of p if the arithmetic mean of 3 and 3p+5=31

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