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BigorU [14]
4 years ago
6

Twenty-seven is 25% of

Mathematics
2 answers:
DanielleElmas [232]4 years ago
8 0

Let's firs rewrite this problem to say 27 is 25% of what number.

Reading through the problem we have <em>27 is</em>, that's <em>27 equals</em>,

<em>25%</em>, <em>25/100</em>, <em>of</em>, <em>times</em>, <em>what number</em>, <em>x</em>.

Notice about that I put 25% as the fraction 25/100. This is because <u><em>percent</em></u> means <em>over 100</em> so 25% means 25 over 100 or 25/100.

So now, our equation reads 27 = 25/100 · X.

Reducing the 25/100 to 1/4, we have 27 = 1x/4.

Multiplying both sides by 4 to get rid of the fraction, we have 108 = 1x.

Divide both sides by 1 to isolate <em>x</em> and we find that 108 = x.

So, 27 is 25% of 108.

DENIUS [597]4 years ago
5 0

Well...

27 = 25% (1/4) × a

27 = 1/4a

a = 27 x 4 = 108

answer: 108

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<img src="https://tex.z-dn.net/?f=%5Chuge%5Csf%5Cunderline%7BQuestion%7D" id="TexFormula1" title="\huge\sf\underline{Question}"
vekshin1

{\qquad\quad\qquad\huge\underline{{\sf Answer}}}

Here we go ~

\qquad \sf  \dashrightarrow \:  {x}^{2}  +  \cfrac{1}{ {x}^{2} }  = 34

[ add 2 on both sides ]

\qquad \sf  \dashrightarrow \:  {x}^{2}  +  \cfrac{1}{ {x}^{2} } + 2  = 34 + 2

[ form identity : a² + b² + 2ab ]

\qquad \sf  \dashrightarrow \:  {(x)}^{2}  +  { \bigg(\cfrac{1}{ {x}^{} } \bigg) }^{2}  + 2 \sdot(x)  \sdot  \bigg(\cfrac{1}{x} \bigg)  = 36

[ a² + b² + 2ab = (a + b)² ]

\qquad \sf  \dashrightarrow \: {\bigg (x  +  \cfrac{1}{x}  \bigg) }^{2}  = 36

\qquad \sf  \dashrightarrow \: {\bigg (x  +  \cfrac{1}{x}  \bigg) }^{}  =  \sqrt{ 36}

\qquad \sf  \dashrightarrow \: x  +  \cfrac{1}{x}    =   \pm 6

so, the value of required expression is 6

[usually positive value is considered, but if asked the value can be either positive or negative]

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