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melissacornut
25.01.2020 •
Mathematics
Two cartons weigh 3x-2 and 2x-3 pounds, respectively. if the average weight of the cartons is 10 pounds, the heavier carton weights how many more pounds than the lighter carton
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Ответ:
heavier carton weights 6 pounds more than the lighter carton.
Step-by-step explanation:
Given:
Weigh of Carton 1 =![3x-2 \ pounds](/tpl/images/0469/8644/327e6.png)
Weigh of carton 2 =![2x-3 \ pounds](/tpl/images/0469/8644/627a2.png)
Average weight of cartons is = 10 pounds.
We need to find the heavier carton weights how many more pounds than the lighter carton.
Solution:
We know that;
Average weight of cartons is equal to sum of weighs of carton 1 and carton 2 and then divided by 2.
framing in equation form we get;
Now multiplying both side by
we get;
Adding both side by 1 we get;
Now weigh of Carton 1 =![3x-2=3\times5-2=15-2 =13\ pounds](/tpl/images/0469/8644/c4d28.png)
Weigh of Carton 2 =![2x-3=2\times5-3=10-3 =7\ pounds](/tpl/images/0469/8644/c6fe9.png)
now we can say that heavier carton is carton 1 and lighter carton is Carton 2.
We need to find the difference between carton 1 and carton 2.
Difference =![13-7 =6](/tpl/images/0469/8644/4cb5e.png)
Hence heavier carton weights 6 pounds more than the lighter carton.
Ответ:
5400 m
Step-by-step explanation:
60 m/h x 1 : 30
=60 x 90
=5400