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zaharov [31]
3 years ago
7

how did differences of opinion on government roles and powers lead to the formation of the first two political parties in the Un

ited States of America?
History
1 answer:
BARSIC [14]3 years ago
6 0
Thomas Jefferson, which was part of the democratic republicans, recognizes that it is natural for people to organize and operate within groups such as political parties, But Alexander Hamilton who supported the federalists believed there needed to be a strong government.
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A carpenter purchased 70 ft of redwood and 80 ft of pine for a total cost of $351. A second purchase, at the same prices, includ
notsponge [240]

Hey there!!


Let us take the cost of 1 feet redwood as ' x '


Let us take the cost of 1 feet pine as ' y '


For the first scenario :


70 ft red wood and 80 ft pine


1 feet redwood - $x


70 feet redwood - $70x


1 feet pine - $y


80 feet pine - $80y


Total = $351


70x + 80y = 351 --------------------------------- ( 1 )  


Second scenario :


1 feet redwood - $x


100 feet redwood - $100x


1 feet pine - $y


60 feet pine - $60y


total - $420


100x + 60y = 420 ----------------------- ( 2 )


Now let us get both the equations together :


70x + 80y = 351 ------------- ( 1 )


100x + 60y = 420 ------------- ( 2 )


Now let us multiply the  the 1st equation with 3 and the 2nd equation with 4


3 ( 70x + 80y ) = 3 ( 351 )


4 ( 100x + 60y ) = 4 ( 420 )


............................


210x + 240y = 1053


400x +  240y = 1680


...........................


Now let us subtract the first equation from the second ...


400x + 240y = 1680


- ( 210x + 240y ) = - ( 1053 )


......................


190x = 627


dividing by 160 on both sides


x = 627 / 190


x = 3.3


The cost for 1 feet or per foot for the redwood is $3.3


Now substitute the value of x in any given given equation and find out y


I will substitute in the 1st equation


70x + 80y = 351


70 ( 3.3 ) + 80y = 351


231 + 80y = 351


Subtracting by 231 on both sides


80y = 351 - 231


80y = 120


dividing by 80 on both sides


y = 120 / 80


y = 1.5


The cost for 1 feet or per foot for the pine = $1.5


The answers - $3.3 ( redwood ) ; $1.5 ( pine )


Hope my answer helps!


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