Aflorist has 54 white roses, 72 red roses, and 108 pink roses. if he makes the greatest number possible of identical bouquets using all the roses, how many red roses will be in each bouquet?

Find the greatest common factor of each flower:

White roses  = 54 = 1, 2 , 3, 6, 9,  18, 27, 54

Red roses = 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Pink roses = 108 = 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The common factors of all three are: 1, 2, 3, 6, 9, 18.

The greatest common factor is 18, so he can make 18 bouquets.

Divide the total red roses by 18:

72 / 18 = 4

There will be 4 red roses in each bouquet.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

the answer is b.

step-by-step explanation: