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Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at 000 seconds, even though the video had already played 190190190 frames. The video plays 252525 frames per second.

Sagot :

MrRoyalidn

Question:

Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at 0 seconds, even though the video had already played 190 frames. The video plays 25 frames per second.

How many frames had the video already played when the time was equal to [tex]3\dfrac{2}{5}[/tex]

Answer:

275 frames

Step-by-step explanation:

Given

[tex]Start\ time = 0s[/tex]

[tex]Rate =25frames/sec[/tex]

[tex]Played = 190\ frames[/tex]

Required

Number of frames played when [tex]time = 3\frac{2}{5}[/tex]

First, calculate the time taken to play 190 frames

[tex]Time = \frac{Frames}{Rate}[/tex]

[tex]Time = \frac{190}{25}[/tex]

[tex]Time = 7\frac{3}{5}[/tex]

So, when the time is at: [tex]3\frac{2}{5}[/tex]

The total time is:

[tex]Total = 7\frac{3}{5} + 3\frac{2}{5} -0[/tex]

[tex]Total =\frac{38}{5} + \frac{17}{5}[/tex]

Take LCM

[tex]Total =\frac{38+17}{5}[/tex]

[tex]Total =\frac{55}{5}[/tex]

[tex]Total =11s[/tex]

The number of frames is then calculated as:

[tex]Frames = Rate * Time[/tex]

[tex]Frames = 25 * 11[/tex]

[tex]Frames = 275[/tex]

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