Aparty host is making identical party bags for guests using 44 bottles of bubbles, 89 stickers, and 55 pencils. what is the greatest number of identical party bags the host can make with the least amount of items leftover? describe the contents of each bag.

11 party bags with 1 sticker leftover

Each bag contains 4 bubbles, 8 stickers, and 5 pencils.

Step-by-step explanation:

Find the GCF of 44 (bubbles), 89 (stickers), and 55 (pencils)

44: 2 x 2 x 11

89: prime so choose 88 with 1 leftover

88: 2 x 2 x 2 x 11

55: 5 x 11

GCF = 11

Disregard the GCF to see how many of that item should go in each bag.

Bubbles: 2 x 2

Stickers: 2 x 2 x 2

Pencils: 5

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies