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Flauer [41]
3 years ago
9

a musical group sells hats at thier concerts. after one concert, they sold 120 out of 200 white hats and 120out of 300 black hat

s. a greater percentage of which color hats were sold
Mathematics
2 answers:
MariettaO [177]3 years ago
4 0

White Hats :  120 ÷ 200  ×  100 = 60%

Black Hats :  120 ÷ 300  ×  100 = 40%

Therefore, a greater percentage of the white hats were sold as 60 > 40

Daniel [21]3 years ago
4 0

Answer: Hi!

They initially had 200 white hats, which is the 100%, and they sold 120 of them.

The percentage sold is the number of hats sold divided by the initial amount of hats, multiplied by 100%

(120/200)*100% = 0.6*100% = 60%

they sold 60% of the white hats.

For the black hats the sold 120 out of 300, using the same reasoning as before, the percentage of black hats sold is:

(120/300)*100% = 0.4*100% = 40%

They sold 40% of the black hats, and as we know 40% < 60%

they sold a greater percentage of the white hats.

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Option C: h(x) = (x-5)^2 - 18

<h3>What is vertex form of  a quadratic equation?</h3>

If a quadratic equation is written in the form

y = a(x-h)^2 + k

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

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<h3>How to convert the given equation to vertex form?</h3>

We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.

The given equation is h(x) = 7 + 10x + x^2\\

Converting it in vertex form, we get:

h(x) = 7 + 10x + x^2\\\\\\h(x) = x^2 + 10x + 7\\h(x) = x^2 + 10x + 25 -25 + 7\\h(x) = (x+5)^2 - 18  \text{\: (Note how the form} \: a^2 + b^2 + 2ab = (a+b)^2 \:\rm got\: made)

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The plot of the given equation is attached below.

Thus,

The correct vertex form of the given equation is given by

Option C: h(x) = (x-5)^2 - 18

Learn more about vertex form of quadratic equations here:
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