The figure shows a smaller square within a larger square. A point is chosen at random inside the larger square. What is the probability that this point is in the shaded area? Write the answer as a decimal.

Given:

Side length of larger square = 10 in

Side length of smaller square = 5 in

To find:

The probability that this point is in the shaded area.

Solution:

Area of square formula =  side²

Area of larger square = 10²

                                     = 100 in²

Area of smaller square = 5²

                                     = 25 in²

Shaded area = Area of larger square - Area of smaller square

                      = 100 in² - 25 in²

Shaded area = 75 in²

                                     = 0.75

The probability of point in shaded area is 0.75.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10