At a children's show, 2/7 of the people attending were adults. The rest were children.2/5 of the children were boys. There were 120 girls attending the performance. A. How many children were there at the children's show?B. How many people were there at the children's show?

A. 200 Children

B. 280 People

Step-by-step explanation:

Let the total number of people attending the show be Y

Given that  2/7 of the people attending were adults, the number of adults A

A = 2/7 Y

Since the rest were children, the number of children C

C = Y - 2/7 Y

= 5/7 Y

2/5 of the children were boys, the number of boys B

B = 2/5 * 5/7Y

= 2/7 Y

The number of Girls G

G = 5/7 Y - 2/7 Y

= 3/7 Y

Given that there were 120 girls attending the performance

3/7 Y = 120

3Y = 120 * 7

Y = 120 * 7/3

= 280

The number of children in the shown C

= 5/7 * 280

= 200

The number of people at the show is Y = 280

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: