A class has 6 boys and 15 girls. What is the ratio of boys to girls in simplest form?

2:5

Step-by-step explanation:

They can both be divided by 3.

6 divided by 3 is 2, while 15 divided by 3 is 5

Boys:Girls

6:15

2:5

- "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."

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.