Jack is 5 times younger than her mother. in 6 years, jack will be three times younger than her mother. how old is each now?

Jack is 6 and Mom is 30

Step-by-step explanation:

J = Jacks age

M = Mom's age

5J = M

In 6 years, so add 6 to the age

3(J+6) = (M+6)

We have a system of 2 equations and 2 unknowns

Lets simplify the 2nd equation

3(J+6) = (M+6)

3J + 18 = M+6

Substituting M =5J

3J + 18 = 5J +6

Subtract 3J from each side

3J-3J + 18 = 5J-3J +6

18 = 2J+6

Subtract 6 from each side

18-6 = 2J+6-6

12 = 2J

Divide each side by 2

12/2 = 2J/2

6=J

Jack is 6

We still need to find Mom's age

M = 5J

     = 5*6

    =30

Mom is 30

answer is 144

step-by-step explanation:

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: