Answer:
<h2>In the attachment</h2>
Step-by-step explanation:

To solve this we are going to use the formula for the area of a circle:

where

is the area of the circle

is the diameter of the circle
We know from our problem that the area of our circle is 10 inches long, so

. Lets replace that value in our formula to find

:


We can conclude that the correct answer is: 78.54 square inches, or in centimeters: 506.7 square cm.
Answer:
The attendance was 198 children, 90 students and 99 adults.
Step-by-step explanation:
We define:
c: children attendance
s: students attendance
a: adult attendance
The equation that describes the total ticket sales is:

We also know that the children attendance doubles the adult attendance:

The third equation is the seating capacity, which we assume is full:

We start by replacing variables in two of the equations:

Then, we solve the remaining equation for a:

Then, we solve for the other two equations:

The attendance was 198 children, 90 students and 99 adults.
-4x + 8y = 2
-4x + 4x + 8y = 2 + 4x
8y = 4x + 2
8 8
y = ¹/₂x + ¹/₄