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2 years ago

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Mariana had both chocolate cake and coconut cake at her birthday party. 40 people picked chocolate cake and 10 people picked coc

onut cake. What percentage of the people at the party picked chocolate cake?

1 answer:

zloy xaker [14]2 years ago

4 0

Answer:

80% of the people picked chocolate cake

Step-by-step explanation:

If you add the people (Not including her) up in the party, you will get 50 people in which both include chocolate cake and coconut cake. We can see that 40 people picked chocolate and 10 for coconut. 40 of 50 is 80% because 10% of 50 is 5 so 40/5 = 8, thus making it 80%. Hope this helps!

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Question:

Which is equivalent to $\sqrt{180x^{11}}$ after it has been simplified completely?

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Step-by-step explanation:

Given

$\sqrt{180x^{11}}$

Required

Simplify

We start by splitting the square root

$\sqrt{180x^{11}} = \sqrt{180} * \sqrt{x^{11}}$

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Rearrange Expression

$\sqrt{180x^{11}} = 6 * x^{5} * \sqrt{5} * \sqrt{x}$

$\sqrt{180x^{11}} = 6x^{5} * \sqrt{5} * \sqrt{x}$

From laws of indices; $\sqrt{a} *\sqrt{b} = \sqrt{a*b} = \sqrt{ab}$

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$\sqrt{180x^{11}} = 6x^{5} * \sqrt{5x}$

$\sqrt{180x^{11}} = 6x^{5}\sqrt{5x}$

<em>The expression can no longer be simplified</em>

Hence, $\sqrt{180x^{11}}$ is equivalent to $6x^{5}\sqrt{5x}$

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