How many ways can six slices of pepperoni pizza and three slices of cheese pizza be divided among five students if one of the students is a vegetarian?

Vegan student gets 9/5 cheese slices

The rest of the 4 students get each: 5/5 slices of pepperoni + 1/2 slice of Pepperoni + 3/10 slice of cheese.

Step-by-step explanation:

6 slices of Pepperoni + 3 slices of cheese = 9 slices total.  We need to divide the slices among 5 students, 1 is vegan.

9 divided by 5 = 1 and 4/5 slices or  9/5 slices.

The 9 slices make 45/5 slices.

3 slices of cheese = 15/5 slices.

6 slices of pepperoni = 30/5 slices.

Vegan student gets 9/5 cheese slices. Leaving 6/5 slices or 12/10 slices of cheese, 12/10 divided by 4=3/10

The rest of the 4 students get each: 5/5 slices of pepperoni + 1/2 slice of Pepperoni + 3/10 slice of cheese.

5/5=10/10, 1/2=5/10, 3/10  

10/10 + 5/10 + 3/10 = 18/10=9/5 slices each person.

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 .

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