Answer:
Monica spent 0.55 hours listening to Brahms.
Step-by-step explanation:
We are given the following in the question:
Amount of time spent listening to tapes of Beethoven and Brahms =
[tex]=\dfrac{3}{4}[/tex]
Amount of time spent listening to Beethoven =
[tex]=\dfrac{1}{5}[/tex]
Total time spent listening to Brahms =
Amount of time spent listening to tapes of Beethoven and Brahms - Amount of time spent listening to Beethoven
[tex]=\dfrac{3}{4}-\dfrac{1}{5}\\\\=\dfrac{15-4}{20}\\\\=\dfrac{11}{20}\text{ Hours}\\\\=0.55\text{ Hours}[/tex]
Thus, Monica spent [tex]\frac{11}{20}\text{ hours}[/tex] listening to Brahms.