Acertain package requires 3 centimeters of tape to be closed securely. what is the maximum number of packages of this type that can be secured with 6 meters of tape?

200 packages

Step-by-step explanation:

change 6 m  to cm

100 cm = 1 m

6m  * 100 cm/1m = 600 cm

we have 600 cm

take 600 cm and divide by 3 cm to close each package

600 cm /3 cm = 200 packages

- "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.