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Hatshy [7]
2 years ago
11

At the movie theatre, child admission is 6.30 and adult admission is 9.50 . On Sunday, four times as many adult tickets as child

tickets were sold, for a total sales of 1063.20 . How many child tickets were sold that day?
Mathematics
1 answer:
Lady_Fox [76]2 years ago
4 0

According to the characteristics of <em>ticket</em> sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.

<h3>How many children went to the movie theatre?</h3>

In this question we have a <em>word</em> problem, whose information must be translated into <em>algebraic</em> expressions to find a solution. Let be x and y the number of children and adults that went to the movie theatre, respectively.

We need two <em>linear</em> equations, one for the number of people assisting to the theatre and another for the total sales:

x - 4 · y = 0     (1)

6.30 · x + 9.50 · y = 1063.20     (2)

By algebraic procedures the solution to this system is: x = 122.559, y = 30.639. Since the number of tickets sold are integers, then we truncate each result: x = 122, y = 30.

According to the characteristics of <em>ticket</em> sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.

To learn on systems of linear equations: brainly.com/question/27664510

#SPJ1

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3 years ago
The profit per acre from a grove of orange trees is given by x(190 − x) dollars, where x is the number of orange trees per acre.
nasty-shy [4]

Answer:

P(x) = 190 x -x^2

In order to maximize the last equation we can derivate the function in term of x and we got:

\frac{dP}{dx} = 190 -2x

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\frac{dP}{dx} = 190 -2x=0

And solving for x we got:

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P(x=95)= 95(190-95)= 95*95 = 9025

Step-by-step explanation:

For this case we have the following function for the profit:

P(x) = x(190-x)

And we can rewrite this expression like this:

P(x) = 190 x -x^2

In order to maximize the last equation we can derivate the function in term of x and we got:

\frac{dP}{dx} = 190 -2x

And setting this derivate equal to 0 we got:

\frac{dP}{dx} = 190 -2x=0

And solving for x we got:

x = 95

And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:

P(x=95)= 95(190-95)= 95*95 = 9025

7 0
3 years ago
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iris [78.8K]

Answer:

K=13

Step-by-step explanation:

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And then, we subtract 12 1/4 with 4, and we get 8 1/4

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WITCHER [35]
<h3>Answer:  8</h3>

Reason:

Replace p with 2 and evaluate.

p^3 = 2^3 = 2*2*2 = 8

Think of a cube that is 2 units along each side. It's volume is 2*2*2 = 8 cubic units. Repeated multiplication can be shortened to using exponents.

Another example: 7^4 = 7*7*7*7

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2 years ago
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