Patrick has three times as many dimes as he has nickels in all he has $5.25 in only nickels and dimes how many of each type of coin does he have

70 dimes and 35 nickels

Step-by-step explanation:

since one nickel is worth 5 cents we divide 5.25/5 which equals 1.05, take out the decimal and you have 105 nickels. but since the dimes are mixed in with the nickels we have to seperate them. so we don't have 105 nickels but we have 105 coins. we do reverse operation to find the number of dimes because it says "3 times". so we divide 105 by 3 which gives us 35. 105 - 35 = 70. so patrick has 70 dimes and 35 nickels

- "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."