Hugo is mixing blue paint with red paint to create purple paint. the ratio of blue to red is 3 to 2. how many pints of blue paint will he use to create 40 pints of purple paint?

24 pints of blue paint used  to create 40 pints of purple paint .

Step-by-step explanation:

As given

Hugo is mixing blue paint with red paint to create purple paint.

The ratio of blue to red is 3 to 2.

Let us assume that the x be scalar mutiple .

Thus

Pints of blue paint used = 3x

Pints of red paint used = 2x

As given 40 pints purple paints is made by mixing  blue paint with red paint .

Than the equation becomes

2x + 3x = 40

5x = 40

x = 8

Thus

Pints of blue paint used = 3 × 8

                                        = 24 pints

Therefore 24 pints of blue paint used  to create 40 pints of purple paint .

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice