Adsila and Carlos volunteer to fill gift boxes for soldiers serving overseas. Both work at a constant rate. They work together for 4 hours and fill 108 boxes, Adsila fills 11 boxes every hour. How many boxes does Carlos fill every hour?

Carlos fills 16 boxes per hour.

Step-by-step explanation:

Given that:

Adsila and Carlos are working together to fill the gift boxes for soldiers.

Number of boxes filled while working together in 4 hours = 108 boxes

Number of boxes filled while working together in 1 hour = boxes per hour

Number of boxes filled by Adsila every hour = 11 boxes

To find:

Number of boxes filled by Carlos every hour = ?

Solution:

Number of boxes filled every hour while working together = Number of boxes filled every hour by Adsila + Number of boxes filled every hour by Carlos

Number of boxes filled every hour while working together = 27 = 11 + Number of boxes filled every hour by Carlos

Number of boxes filled every hour by Carlos = 27 - 11 = 16

- "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."

( - 4 , -7 )

all the lines must parallel  

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )