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2 years ago

A small theater sold 72 tickets for a

Mathematics

1 answer:

finlep [7]2 years ago

5 0

Answer:

Adult tickets sold= 9x4 = 36

Senior tickets sold = 9x3= 27

Child tickets sold = 9 x 1 = 9

Step-by-step explanation:

If the parts for adult tickets changed within the 2 ratios given, we should have equated Ratio further. But here that is not 5e case. So, put both ratios together:

Senior:Adult:Child

3:4:1

Now,

Total number of parts 3+4+1=8

Number of tickets sold per part = 72/8 = 9

Therefore number of

Adult tickets sold= 9x4 = 36

Senior tickets sold = 9x3= 27

Child tickets sold = 9 x 1 = 9

Hope this helps.

Good Luck

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The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).

mars1129 [50]

Answer:

$S(2) = 24.24$ . This means that in the second month, the company will sell 24.24 millions of dollars in total.

$S'(2) = 11.36$ . This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

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Step-by-step explanation:

The total sales of the company, in millions of dollars is given by the following formula:

$S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4$

This function has the following derivative, which represents the variation in relation to the previous month.

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Find S(2) and S'(2)

$S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4$

$S(2) = 0.03*(2)^{3} + 0.5*(2)^{2} + 9*2 + 4 = 24.24$

$S(2) = 24.24$ . This means that in the second month, the company will sell 24.24 millions of dollars in total.

$S'(t) = 0.09t^{2} + t + 9$

$S'(2) = 0.09*2^{2} + 2 + 9 = 11.36$

$S'(2) = 11.36$ . This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

Choose the correct interpretation of S(11)=203.43.

S represents total sales, and S(11) is the total sales 11 months from now.

So the correct answer is:

d. The total sales 11 months from now will be $203.43 million dollars.

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