The music for Nadia’s dance routine last for exactly 4 minutes. When Nadia dances her routine, she starts with her music and finishes 12 seconds before the music ends. What percent of the time the music is playing is Nadia dancing?

4 x 60 = 240 seconds

[tex] \frac{12}{60} / \frac{12}{12} = \frac{1}{5} [/tex] of a minute not dancing.

[tex]4 \times 5 = 20 - 1 = 19 [/tex][tex] \frac{19}{20} \times \frac{5}{5} = \frac{95}{100} [/tex]

95% of the time dancing

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jajumonac jajumonac · Answer 2 · 2020-01-23T02:25:52+01:00

Answer:

Nadia's routine is around 0.95 times the duration of the music.

Step-by-step explanation:

Givens:

The routine last 4 minutes.
She finished 12 seconds before the music ends.

Basically, the music is 12 seconds more than the routine, that is, the music last 4 minutes and 12 seconds, which have to transform to just minutes to find the ration between both durations.

[tex]12sec\frac{1min}{60sec}=\frac{3}{15}min=\frac{1}{5}min[/tex]

So, the music is [tex]4\frac{1}{5} min[/tex]. Now to find the percentage of the music is Nadia's routine, we just have to divide:

[tex]4\frac{1}{5} \div 4=\frac{5}{21} \times 4=\frac{20}{21} \approx 0.95[/tex]

Therefore, Nadia's routine is around 0.95 times the duration of the music.