The teacher has 15 gold prize ribbons, 22 blue ribbons, and 5e red ribbons. there are 12 boys and 18 girls in the class. if the teacher divides the ribbons evenly among the students, how many ribbons will each student have? write an expression using brackets, then solve your expression to find the answer.

3

Step-by-step explanation:

Given

15 gold ribbons

22 blue ribbons

53 red ribbons

Total of 53 + 22 + 15 = 90 ribbons

Total number of students = 12 boys + 18 girls = 30 students.

If evenly divided, each student will have 90/30 = 3 ribbons

The expression to solve would basically be the amalgamation of what we did above:

(53 + 22 + 15)/(12+18)

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.