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2 years ago

If the mean of 25, 28, a, 30 and 32 is 27, then find the value of a.

Mathematics

1 answer:

Anna11 [10]2 years ago

6 0

Answer:

a = 20

Step-by-step explanation:

The mean is calculated as

mean = $\frac{sum}{count}$

= $\frac{25+28+a+30+32}{5}$ = $\frac{115+a}{5}$

Then

$\frac{115+a}{5}$ = 27 ( multiply both sides by 5 to clear the fraction )

115 + a = 135 ( subtract 115 from both sides )

a = 20

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X(x+3) + 34 = (x +5)(x+2)

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First, expand to remove parentheses.
$x^{2} + 3x + 34 = x^{2} + 2x + 5x + 10$
Second, add '2x + 5x' to get '7x'.
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Third, cancel out ' $x^{2}$ ' on both sides.
$3x + 34 = 7x + 10$
Fourth, subtract '3x' from both sides.
$34 = 7x + 10 - 3x$
Fifth, subtract '7x - 3x' to get '4x'.
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Sixth, subtract '10' from both sides.
$34 - 10 = 4x$
Seventh, subtract '34 - 10' to get '24'.
$24 = 4x$
Eighth, divide both sides by '4', leaving the 'x' by itself.
$\frac{24}{4} =x$
Ninth, since '24 ÷ 4 = 6', simplify the fraction to '6'.
$6 = x$
Tenth, switch your sides to get the answer.
$x = 6$

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Step-by-step explanation:

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