Use the distributive property to write an expression equivalent to 5x (3+4)

First, distribute (multiply) 5x to 3.  You get --> 15x.

Next, distribute 5x to 4.  You get --> 20x.

Now, combine the two terms with addition.  15x+20x=35x.

35x is the answer.

Hope this helps!

- "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."