Answer:
47
Step-by-step explanation:
Well 47 is the highest prime number that is smaller than 50
Answer:
$68
Step-by-step explanation:
We have been given the demand equation for Turbos as
, where q is the number of buggies the company can sell in a month if the price is $p per buggy.
Let us find revenue function by multiplying price of p units by demand function as:
Revenue function: 

Since revenue function is a downward opening parabola, so its maximum point will be vertex.
Let us find x-coordinate of vertex using formula
.



The maximum revenue would be the y-coordinate of vertex.
Let us substitute
in revenue formula.




Therefore, the company should sell each buggy for $68 to get the maximum revenue of $18,496.
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
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In exact form it is 13/6 .. and mixed numbers it is 2 1/6