Answer:
number of children ticket sold = 70
number of adult ticket sold = 70 × 3 = 210
number of student ticket sold = 500 - 4(70) = 500 - 280 = 220
Step-by-step explanation:
A local theater sells out their show. They sell all 500 tickets for a total of $7920 .00 . The total number of ticket sold is 500.
let
Number of children ticket sold = a
Adult ticket sold = 3a
Student ticket sold = 500 - 3a - a = 500 - 4a
Total cost = 7920
7920 = 12(a) + 15(500 - 4a) + 18(3a)
7920 = 12a + 7500 - 60a + 54a
collect like terms
7920 = 12a - 60a + 54a + 7500
7920 - 7500 = 6a
420 = 6a
divide both sides by 6
a = 420/6
a = 70
number of children ticket sold = 70
number of adult ticket sold = 70 × 3 = 210
number of student ticket sold = 500 - 4(70) = 500 - 280 = 220
Answer:
Mathematics lesson
Step-by-step explanation:
Algebra and 3D, D-Shapes
Answer:
The answer is "
"
Step-by-step explanation:
The rectangle should also be symmetrical to it because of the symmetry to the y-axis The pole of the y-axis. Its lower two vertices are (-x,0). it means that
and (-x,0), and (x,0). Therefore the base measurement of the rectangle is 2x. The top vertices on the parabola are as follows:
The calculation of the height of the rectangle also is clearly 16-x^2, (-x,16,-x^2) and (x,16,-x^2).
The area of the rectangle:

The local extremes of this function are where the first derivative is 0:

Simply ignore the negative root because we need a positive length calculation
It wants a maximum, this we want to see if the second derivative's profit at the end is negative.

Answer:
i believe its c
Step-by-step explanation:
Answer:

Step-by-step explanation:
We have been given that the variables y and x have a proportional relationship, therefore, we can represent the relationship between x and y as:
, where k is proportionality constant.
Let us substitute x=3 and y=15 in above equation to find the value of k.


Now let us substitute k=5 and y=4 in our proportionality equation to find the corresponding value of x.



Therefore, the value of x will be 0.8, when y equals to 4.