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guajiro [1.7K]
3 years ago
8

If a 150 pound woman would receive 24 grams of a certain medicine. How many grams should a 120 pound woman receive?

Mathematics
1 answer:
kumpel [21]3 years ago
7 0

With a problem like this, set up a proportion (like when making lemonade from a mix).


\frac{weight}{medicine} = \frac{weight}{medicine} is our proportion.


We fill in the the two weights and the 24 grams of medicine in the proportion and solve for the fourth piece not there.


\frac{150}{24} =\frac{120}{M}


We shorten medicine to M and we solve for M by cross multiplying.


150M = 2880


M = \frac{2880}{150} = 19.2 grams


The woman should get 19.2 grams of medicine.



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Step-by-step explanation:

     Generally the size of the sample sample space is  mathematically represented as

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         n  =   \left 19 } \atop {}} \right.  C_8 =  \frac{19 !}{(19 - 8 )! 8!}

                           =     \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}

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           n  =   \left 25 } \atop {}} \right.  C_3 =  \frac{25 !}{(19 - 3 )! 3!}

                             =     \frac{25 *24 *23 *22 !  }{22 ! \ 3!}

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            n  =   \left 23 } \atop {}} \right.  C_2 =  \frac{23 !}{(23 - 2 )! 2!}

                              =     \frac{23 *22 *21!  }{21 ! \ 3!}

                              n =   253

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Step-by-step explanation:

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