Afruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 190 kilograms. a delivery of 2 large boxes and 3 small boxes has a total of 84 kilograms. how much does each type of boxes weigh ?

We  have  this  system

6L  +  5S   =  190       (1)

2L  +  3S   =   84     multiply  through  by -3  ⇒ -6L  - 9S   = -252   (2)

Add  (1)  and (2)    and  we  get  that

-4S   =  -62

S = -62  / -4     =   15.5  kilos  for  a small box  

And

2L  +  3S  =  84

2L  + 3 (15.5)  =  84

2L  =  46.5   =  84

2L  =  84  - 46.5

2L  = 37.5

L = 37.5 /2    =  18.75  kilos  for a large box

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.