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dalvyx [7]
3 years ago
13

There are 24 hours in a day and scientists tell us that we should sleep for 3/8 of the day. How much time should we spend sleepi

ng?
Mathematics
2 answers:
blagie [28]3 years ago
8 0
The answer would be 9 hours.
fiasKO [112]3 years ago
5 0
An easy way to do this would be to convert the fraction into a decimal and multiply. You can use a calculator for this. Convert 3/8 into a decimal, which will be 0.375.   Now multiply  24 * 0.375 = 9.   So doctors say you should spend 9 hours sleeping.
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The correct answer is:  [A]:  " (\frac{1}{2})⁴ " .
_______________________________________________

Note:  (\frac{1}{2})⁴  = \frac{1^{4} }{2^{4} } ;

                                                = \frac{1*1*1*1}{2*2*2*2} ;

                                                = \frac{1}{16} .
_______________________________________________________

Consider "Choice [B]" :  "(\frac{1}{2})⁴ " ;

Note:  (\frac{1}{4})⁴ =  \frac{1^{4} }{4^{4} } ;

                                                = \frac{1*1*1*1}{4*4*4*4} ;

                                                = \frac{1}{256} .

Note that:  "\frac{1}{256}" \neq "\frac{1}{16}" .
__________________________________________________________

Consider "Choice [C]" :  "(\frac{1}{8})² " ; 

Note:  (\frac{1}{8})²  = \frac{1^{2} }{8^{2} } ;

                                                = \frac{1*1}{8*8} ;

                                                = \frac{1}{64} .

Note that:  "\frac{1}{64}" \neq "\frac{1}{16}" .
__________________________________________________________
     →  As such, the only correct answer choice is:
__________________________________________________________
Answer choice:   [A]:  " (\frac{1}{2})⁴ " .
__________________________________________________________
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