The ratio of manjo juice to guava juice in paradise punch is 5 to 3. leilani has 32 fl oz of manjo juice. how much guava juice does she need

Originally the ratio is 5:3, but we can make this ration 5x:3x because its equal. By doing so, we know that 5x+3x=32.

Now just solve the equation:

5x+3x=32

8x=32

x=4.

Now insert x into ratio.

Since she needs 3x of guava juice, she needs 3*4 fl oz of guava juice. She need 12 fl oz of guava juice.

12 FL OZ of guava juice.

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!

1/8 3/16 3/4

step-by-step explanation:

you put them as all the same denominator and multiply