James is two years younger than twice his sister kate’s age. together their ages add up to 19. what is each of their ages?
show work

For this case we have to:

x: Be the variable that represents James's age

y: Be the variable that represents Kate's age

According to the data we have:

Substituting the second equation into the first:

So, Kate is 7 years old.

James is 12 years old.

JAmes is 12 years old

Kate is 7 years old

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12