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sladkih [1.3K]
3 years ago
8

The drama club held a car wash on Saturday and Sunday. They washed a total of 60 cars. If they lost 40% of the cars on Sunday, h

ow many of the cars if they wash on Sunday?
Mathematics
1 answer:
Nana76 [90]3 years ago
3 0

22 complete cars and half of one car were washed on Sunday.

<u>Solution: </u>

Given that  

Drama club held a car wash on Saturday and Sunday.

Total car washed on Saturday and Sunday = 60  

Lost 40 \% can on Sunday.

Need to calculate number of car washed on Sunday.

Let assume number of cars they washed on Saturday = x

As they lost 40\% of cars on the Sunday

Number of cars washed on Sunday = Car washed on Saturday – 40\% of car washed on Saturday

\Rightarrow x-40 \% \text { of } x=\mathrm{x}-0.40 x=0.60 x

Total number of cars washed on Saturday and Sunday = Number of cars washed on Saturday + Number of cars washed on Sunday  

\begin{array}{l}{\Rightarrow 60=x+0.60 x} \\\\ {\Rightarrow 60=1.6 x} \\\\ {\Rightarrow x=\frac{60}{1.6}=37.5}\end{array}

So car washed on Sunday = 0.60 x=0.60 \times 37.5=22.5 \mathrm{ cars}

That is 22 complete cars and half of one car were washed on Sunday.

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myrzilka [38]
<h3>Answer:   15x^(7/3) - 8x^(7/4) + x + 9000</h3>

=========================================================

Explanation:

If you know the cost function C(x), to find the marginal cost, we apply the derivative.

Marginal cost = derivative of cost function

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Since we're given the marginal cost, we'll apply the antiderivative (aka integral) to figure out what C(x) is. This reverses the process described above.

\text{Cost} = \text{antiderivative of marginal cost}\\\\\displaystyle C(x) = \int \left(35x^{4/3} - 14x^{3/4} + 1\right)dx\\\\

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D represents a fixed constant. I would have used C as the constant of integration, but it's already taken by the cost function C(x).

To determine the value of D, we plug in x = 0 and C(x) = 9000. This is because we're told the fixed costs are $9000. This means that when x = 0 units are made, you still have $9000 in costs to pay. This is the initial value. You'll find that all of this leads to D = 9000 because everything else zeros out.

Therefore, we go from this

C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\

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2 years ago
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Answer:

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> because the x variable is always the same, no matter what y variable we graph, we will have the same outcome. So, this would look like a straight line, which have an undefined slope.

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<em />

<em />

hope this helps!! have a lovely day :)

3 0
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