it takes cindy 3/4 of an hour to
complete a puzzle. how many
puzzles can cindy finish in 3
hours?

1 hour is equivalent to 60 minutes

3/4 hours is - 60 minutes x 3/4 = 45 minutes

3 hours are equivalent to 60 minutes/hr x 3 hr = 180 minutes

it takes Cindy 45 minutes to complete a puzzle

so it takes her 45 minutes for - 1 puzzle

then in 180 minutes she can make - 1/45 x 180 = 4 puzzles

in 3 hours she can complete 4 puzzles

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.