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.

see below

step-by-step explanation:

x+2> 6

subtract 2 from each side

x+2-2 > 6-2

x > 4

there is an open circle at 4 since is it is greater than and the line goes to the right

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