James uses the Distributive Property to find how many cans of paint are in the art supply closet. There are 5 boxes in the closet. Each box holds 14 cans.

70 cans of paint

Step-by-step explanation:

We are told in the question that:

1 box holds = 14 cans of paint

5 boxes =

Cross Multiplying

5 boxes will hold = 5 × 14

= 70 cans of paint

This question, requires that we use Distributive property

Distributive property states that: when 2 factors or numbers are multiplied together the result will be the same as splitting on of the numbers(factors) into two distinct numbers, multiplying both number by the other factor, and adding together both products.

Applying the definition above to solve the question, we would be splitting the number of boxes which is 5 into 2 distinct number = 2 and 3

As , 2 + 3 = 5

Hence, we have:

14 × 5 = 14( 2 + 3)

70 = 28 + 42

70 cans of paint = 70 cans of paint.

The numbers of cans of paint that are in the art supply closet is 70 cans of paint

a 360 degree rotation

step-by-step explanation:

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3