A teacher made a test that consists of true and false questions worth 3 points and multiple choice problems worth 4 points. There are a total of 36 problems on the test and it's worth 125 points. How many of each type of questions are there?

Probably 19 true and false and 17 multiple choice

Step-by-step explanation:

19x3=57 and 17x4=68

68+57=125

- "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."