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Firdavs [7]
3 years ago
13

After a day of shopping, Hannah spent $150. This is 75% of the amount she got from her mom. How much money did she get from her

mom?
Mathematics
1 answer:
azamat3 years ago
6 0

Answer:

Hannah got $200 for her mom

Step-by-step explanation:

With the numbers in this question you don't even have to worry about percentages.

You can think of it in quarters:

75% is 3 quarters of 100%

(25% + 25% + 25% + 25%)

$150 is 3 quarters of $200

($50 + $50 + $50 + $50)

Hope this helps and isn't a confusing way of explaining it! :)

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<h3>1)</h3>

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<h3>2)</h3>

\text{Given that,}~\\\\f(x) = \dfrac{1}{3x-2}\\\\\textbf{Power rule:}\\\\\dfrac{d}{dx}(x^n) = nx^{n-1}\\\\\textbf{Chain rule:}\\\\\dfrac{dy}{dx} = \dfrac{dy}{du} \cdot \dfrac{du}{dx}\\\\\text{Now,}\\\\f'(x) = \dfrac{d}{dx} f(x)\\\\\\~~~~~~~~=\dfrac{d}{dx} \left( \dfrac 1{3x-2} \right)\\\\\\~~~~~~~~=\dfrac{d}{dx} (3x-2)^{-1}\\\\\\~~~~~~~~=-(3x-2)^{-1-1} \cdot \dfrac{d}{dx}(3x-2)\\\\\\~~~~~~~~=-(3x-2)^{-2} \cdot 3\\\\\\~~~~~~~~=-\dfrac{3}{(3x-2)^2}

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