A box contains 5 plain pencils and 5 pens. A second box contains 3 colored pencils and 5 crayons. One item from each box is chosen at random. What is the probability that a pen from the first box and a crayon from the second box are selected? Write your answer as a fraction in the simplest form.

3/12 = 1/4

Step-by-step explanation:

What is the probability of choosing a pen from the first box? It is 5/8.

What is the probability of selecting a crayon from the second box? It is 3/12 = 1/4.

The probability of picking a pen from the first box and a crayon from the second box is 5/8 x 1/4 = 5/32.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15