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koban [17]
3 years ago
8

Charlie and noel picked 92 quarts of berries at the king orchard. if charlie picked 6 more quarts than noel picked. how many qua

rts did noel pick?
please show work
Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0
The number of quarts of berries Charlie picked is C
the number of quarts of berries Noel picked is N
since they picked a total of 92 quarts, C+N=92
Since Charlie picked 6 more quarts than Noel, C-N=6
add the 2 equations
C+N+C-N=2C=98
C=49
N=92-49=43
Noel picked 43 quarts.
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Answer:

the time taken for the element to remain 1 gram is 38,400,000 unit.

Step-by-step explanation:

Given;

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The time taken for the element to remain 1 gram is calculated as;

          mass remaining                                      time

             5 g                                                        0

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             1.25 g                                                   32,000,000

            0.625 g                                                 48,000,000

Interpolate to obtain the time at 1 gram;

1.25 g ----------------------------------   32,000,000

1 g --------------------------------------------- x

0.625 g --------------------------------------- 48,000,000

\frac{1.25 - 1}{1.25 - 0.625} = \frac{32,000,000 - x}{32,000,000 - 48,000,000} \\\\\frac{0.25}{0.625} = \frac{32,000,000 - x}{-16,000,000} \\\\-4,000,000= 20,000,000 - 0.625x\\\\0.625x = 20,000,000 + 4,000,000\\\\0.625x =  24,000,000\\\\x = \frac{24,000,000}{0.625} \\\\x = 38,400,000

Therefore, the time taken for the element to remain 1 gram is 38,400,000 unit.

         

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