Hasan has 18 3/4 yards of fabric. it takes 3 1/6 yards to make a pillowcase. hasan plans to make as many pillow cases as he can. how many yards of fabric is left over?

yards of fabric is left over.

Step-by-step explanation:

Hasan has the total length of fabric = yards

                                                           =   yards

Hasan plans to make as many pillow cases as he can.

To make one pillow case the fabric will be needed =   yards =   yards

Hasan can make the total number of pillowcases =

=   ×  

=   ×  

=  

=  

He can make 5 pillow cases and   yards of fabric would be left over.

its adding 5.5 each time

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0