Isabell is mixing red paint with blue paint to make purple paint. she adds 3/10 of a fluid ounce of red to 11/15 of a fluid ounce of blue to make 1 1/30 fluid ounces of blue to make 1 1/30 of purple. how many fluid ounces of red will she need to make 3 fluid ounces of purple paint

We will need 27/31 of an ounce of red

Step-by-step explanation:

3 /10 red + 11 /15 blue  makes 1 1/30 purple

Get a common denominator of 30

3/10 * 3/3 = 9/30  red

11/15 *2/2 = 22/ 30  blue

1  1/30 = 31/30   purple

So the ratio of red to purple is

9/30

 =   9/ 31

31/30

Keeping this ratio, we want 3 ounces purple

9 red                      x red

          =  

31 purple             3   purple

Using cross products,

9*3 = 31 *x

27 = 31x

Divide each side by 31

27/31 = x

We will need 27/31 of an ounce of red

third option: 6x+8

step-by-step explanation:

we can see that the given question is a sum of series and the values of n vary from 0 to 3

the first term will be:

when n=0, [(0)*x+2] => (0+2) => 2

when n=1, [(1)*x+2] => (x+2) => x+2

when n=2, [(2)*x+2] => 2x+2

when n=4, [(3)*x+2] => 3x+2

so adding up all the terms will give us:

=2+x+2+2x+2+3x+2

=x+2x+3x+2+2+2+2

=6x+8

so,

third option is the correct answer ..

answer: what equations are there

step-by-step explanation: