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marysya [2.9K]
3 years ago
13

You downloaded a video game to your computer. You have a 60-minute free trial of the game. It takes 5 1/6minutes to set up the g

ame and 7 1/3 minutes to play each level. You want to find out how many levels you can play for free. Let l represent the number of levels played. Write an inequality to determine the number of levels you can play in 60 minutes.
Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

Answer:

\frac{31}{6} + \frac{22}{3}I \leq  60

Step-by-step explanation:

I have a 60-minute free trial of the game. It takes 5\frac{1}{6} i.e. \frac{31}{6} minutes to set up the game and 7\frac{1}{3} i.e. \frac{22}{3} minutes to play each level.

If I am able to play up to I number of levels within this 60 minutes, then we can write the inequality that gives the maximum number of level that I can play will be given by \frac{31}{6} + \frac{22}{3}I \leq  60. (Answer)

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x(Q-13) = P-12
                 P-12
Then x = ----------
                 Q-13

Note that Q may not = 13.  But none of the answer choices present Q = 13.

Let's go thru the answer choices one by one.  

                 P-12
         x = ---------- 
                 Q-13
                                                             -24
Check out A:  Q=12 and P= -12:  x = -------- = 24  This is OK (ONE sol'n)
                                                             -1
                                                                   -25
Check out B:  Q = -13 and P = -13:  x = ----------- = 25/26   OK
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                                                                   13-12
Check out C:  Q = -13 and P = 13:    x = ------------ = -1/26 OK
                                                                  -13-13

                                                                 12-12
Check out D:  Q = 12 and P = 12:      x= ---------- = 0     OK
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