There were 4342 buttons altogether in three bags, A, B and C. There were 18 more buttons in Bag B than in Bag A. There were 3 times as many buttons in Bag C as in Bag B. How many buttons were there in Bag A?

there were 854 buttons in bag a

Step-by-step explanation:

4342 = a + b + c

b = a + 18

c = 3b

4342 = a + (a + 18) + 3(a + 18)

4342 = a + a + 18 + 3a + 54

4342 = 5a + 72

-72 -72

4270 = 5a

/5 /5

854 = a

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!

d. 145*2 is 290 than the total angle is 360 then minus 290 then divide by two