The ratio of Luke's age to Jack's age is 3:2. If Luke is 36, how old is Jack?

Jack is 24

Step-by-step explanation:

Luke : jack

3            2

We know like is 36

3*12 = 36, so we need to multiply by 12

Luke : jack

3*12     2*12

36          24

24

Step-by-step explanation

Notice that Luke's real age is 12 times the number in the ratio, which is a simplified version of the original ratio, where they used division by 12 on both sides to get 3:2. Just do the opposite of division, which is multiplication, and multiply both sides of the ratio to get 36:24, which means that Jack is 24 years old!

Hope this helped you!

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

109 is the nearest whole number/final answer! : )