Jack is 4 times as old as Lacy. 4 years ago the sum of their ages was 52. How old are they now

Jack = 48 years old ,  Lac = 12 years old

Step-by-step explanation:

Jack = 4Lacy

(Jack - 4) + (Lacy - 4) = 52

Now, substitute.

4Lacy - 4 + Lacy - 4 = 52

5Lacy = 60

Lacy = 60/5 = 12

Jack =4Lacy

       =4(12)

        =48

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

where is the gragh

step-by-step explanation: