In preparation for a party, brant is putting desserts onto platters. the chocolate cake is cut into 15 pieces and the cheesecake is cut into 6 pieces. if he wants to prepare identicle platters without having any cake left over, what is the greatest number of platters he can prepare?

The greatest number of platters he can prepare is 3.

Step-by-step explanation:

Given : In preparation for a party, brant is putting desserts onto platters. the chocolate cake is cut into 15 pieces and the cheesecake is cut into 6 pieces. if he wants to prepare identical platters without having any cake left over.

To find : What is the greatest number of platters he can prepare?

Solution :

The greatest number of platters he can prepare is given by finding the GCF of 15 and 6.

Factoring the numbers,

The GCF is the greatest common factor.

Therefore, the greatest number of platters he can prepare is 3.

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.