Answer: 41.5 min
Step-by-step explanation:
This problem can be solved with the Radioactive Half Life Formula:
(1)
Where:
is the final amount of the radioactive element
is the initial amount of the radioactive element
is the time elapsed
is the half life of the radioactive element
So, we need to substitute the given values and find
from (1):
(2)
(3)
(4)
Applying natural logarithm in both sides:
(5)
(6)
Clearing
:
This is the time elapsed
Answer:
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Step-by-step explanation:
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Answer:

Step-by-step explanation:
let x be the numerator of the rational number then 2x is the denominator
original fraction = 
subtracting 3 from numerator and adding 7 to denominator , gives
=
( cross- multiply )
5(x - 3) = 2(2x + 7) ← distribute parenthesis on both sides )
5x - 15 = 4x + 14 ( subtract 4x from both sides )
x - 15 = 14 ( add 15 to both sides )
x = 29
rational number = 
Answer:
4 hours and 10 min
Step-by-step explanation:
For this equation we will do ratios:

250 min =
4 hours and 10 min
4(60) = 240
240 + 10 = 250 minutes