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3 years ago

11

Harper surveyed 380 of the students in her school about their favorite color. 57 students said their favorite color was red. Wha

t percentage of the surveyed students said their favorite color was red?

1 answer:

larisa86 [58]3 years ago

7 0

There are 380 students surveyed. Also, 57 of the students stated that their favourite colour was red. Hence, we can construct a fraction here, and it would be 57/380. Now, we divide the fraction - like 57 divided by 380 to get a decimal to convert to a percent. As a result, we get 0.15, then we multiply 0.15 by 100 to get 15% as our final answer.

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marusya05 [52]

$\large\underline{\sf{Solution-}}$

We have to find out the value of the fraction.

<u>Let us assume that:</u>

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<u>We can also write it as:</u>

$\sf \longmapsto x =2 + \dfrac{1}{x}$

$\sf \longmapsto x =\dfrac{2x + 1}{x}$

$\sf \longmapsto {x}^{2} =2x + 1$

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<u>Comparing </u>the given <u>equation</u> with <u>ax² + bx + c = 0,</u> we get:

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<u>By quadratic formula:</u>

$\sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

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$\sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2}$

$\sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2}$

$\sf \longmapsto x = 1 \pm\sqrt{2}$

$\sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}$

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$\sf :\implies x = 1 + \sqrt{2}$

So, the value of the fraction is 1 + √2.

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Answer:

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Step-by-step explanation:

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