Rory is playing a video game where each game lasts 13⁄4 hours. he wants to play for 9 hours today and this evening. how many games can he play? a. 41⁄7 b. 6 c. 51⁄7 d. 52⁄5

Duration of each game playing = 1 3/4 hours.

Let us convert 1 3/4 into mixed fracions first.

1 3/4 = (1*4+3)/4 = 7/4 hours.

Total number of hours Rory want to play = 9 hours.

Total number of games = Total number of hours  ÷ Duration of each game.

Plugging values, we get

Total number of games = 9 ÷ 7/4.

Let us convert division sign into multiplication and flip the right side fraction, we get

9 × 4/7

Multiplying across, we get

(9×4)/7= 36/7.

Let us convert 36/7 into mixed fractions.

On dividing 36 by 7, we get quotient=5 and remainder=1.

So the answer 36/7 in fraction for will be 5 1/7.

Number of games Rory can play = 5 1/7 games.

Therefore, correct option is C. 5 1/7.

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.