When you mix two colors of paint in equivalent ratios, the resulting color is always the same. Draw out the table and fill in the missing numbers to help you
answer the questions.
cups of
cups of
blue paint
yellow paint
2
10
1

Step-by-step explanation:

From the given table,

To prepare a mixture of a paint, two paints of different shades have been added in the same ratio,

Since, 2 cups of blue paint are mixed with 10 cups of yellow paint

Therefore, ratio in which these shades have been added =

                                                                                                =

                                                                                                =

                                                                                                = 5 : 1

For 1 cup of blue paint number of cups of yellow paint required,

x = 5 cups

For 3 cup of blue paint number of cups of yellow paint required,

x = 15 cups

Cups of blue paint                Cups of yellow paint

            2                                             10

            1                                               5

            3                                              15    

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6