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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 seconds, even though the video had already played frames. The video plays frames per second.How many frames had the video already played when the time was equal to seconds? frames
Full solution
Q. 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 seconds, even though the video had already played frames. The video plays frames per second.How many frames had the video already played when the time was equal to seconds? frames
- Calculate Frames Played: We need to find out how many frames the video had played before the timer started. Since the video plays at a rate of frames per second, we can calculate the number of frames played during the uncounted time by multiplying the rate by the time in seconds. However, the time given is negative, which means we are looking at a time before the timer started at seconds.
- Convert Mixed Fraction: First, we convert the mixed fraction seconds into an improper fraction. This is done by multiplying the whole number part by the denominator of the fraction part and then adding the numerator of the fraction part. The result is the numerator of the improper fraction, with the denominator remaining the same. seconds
- Calculate Frames Played: Now we calculate the number of frames played during this time. Since the video plays at frames per second, we multiply the time in seconds by the frame rate.Number of frames = Frame rate TimeNumber of frames = Number of frames = Number of frames =
- Total Frames Played: However, we cannot have a negative number of frames. The negative sign indicates that these frames were played before the timer started counting. Since we know the timer started after frames had been played, we need to add this number to the frames to find out the total number of frames played before the timer started.Total frames played before timer started = Initial frames + Frames during uncounted timeTotal frames played before timer started = Total frames played before timer started =
