+0  
 
0
813
3
avatar

how many songs with an average of 3MB can be stored on a drive with 1.5 terabytes of data?

 Oct 11, 2014

Best Answer 

 #3
avatar
+5

Binary sufexes are (should be) used in these calculations

$${\frac{\left({\mathtt{1.5}}{\mathtt{\,\times\,}}{{\mathtt{2}}}^{{\mathtt{40}}}\right)}{\left({\mathtt{3}}{\mathtt{\,\times\,}}{{\mathtt{2}}}^{{\mathtt{20}}}\right)}} = {\mathtt{524\,288}}$$

 Oct 11, 2014
 #1
avatar+23254 
+5

A terabyte has 10^12 bytes.

A megabyte has 10^6 bytes.

(1.5 x 10^12) ÷ (3 x 10^6)  =  (1.5 ÷ 3) x (10^12 ÷ 10^6)  =  (0.5) x (10^6)  =  5 x 10^5

 Oct 11, 2014
 #2
avatar+130511 
+5

1.5 terabytes = 1.5 x 1012 bytes

3 megabytes = 3 x 106 bytes

So....... (1.5 x 1012 ) / (3 x 106 )  = about 500,000 songs

 

 Oct 11, 2014
 #3
avatar
+5
Best Answer

Binary sufexes are (should be) used in these calculations

$${\frac{\left({\mathtt{1.5}}{\mathtt{\,\times\,}}{{\mathtt{2}}}^{{\mathtt{40}}}\right)}{\left({\mathtt{3}}{\mathtt{\,\times\,}}{{\mathtt{2}}}^{{\mathtt{20}}}\right)}} = {\mathtt{524\,288}}$$

Guest Oct 11, 2014

1 Online Users