A large popcorn bag holds four times as much as a small popcorn bag. At the end of a party, 3 1/3 small bags and 2 1/4 large bags were left.

a) How many small bags would the leftover popcorn fill?

b) How many large bags would the leftover popcorn fill?

Please help me fast, also show all work and steps please:)

A]  37 / 3 = 12 1/3 ; B] 37 / 12 = 3 1/12

Step-by-step explanation:

Let small popcorn bag hold = p units popcorn. So, large popcorn bag hold 4 times ie 4p units popcorn.

Left popcorn = 3 1/3 ie 10 / 3 small bags , & 2 1/4 ie 9 / 4 large bags.  

So, total popcorn left = Sum( No. of popcorn in each bag x no of bags) =        [ 10 p / 3 ] +  [ (9 x 4) p / 4 ] = 10p / 3 + 9p  = (10p + 27p) / 3 = 37p / 3

A] Small bags for left popcorn = Total left popcorn / Per small bag popcorn  = ( 37p / 3 ) / (p)  = 37 / 3 = 12 1/3

B] Large bags for left popcorn = Total left popcorn / Per large bag popcorn   =  ( 37p / 3 ) / (4p) = 37 / 12 = 3 1/12  

step-by-step explanation:

in which figure is point g a centroid

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕