PLEASE HALPPP
1 answer:
Step-by-step explanation:
We can set this up as a proportion
(1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply
1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2
(3/2) (1/5) = x = 3/10 gallons fills the entire bin
Look at it this way each 1/10 of a gallon fills 1/3 of the bin.
so 3(1/10) gallons fills 3(1/3)bins..
or
3/10 galons fills a whole bin.
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Answer:
The tank must remain intact for 1183 years.
Step-by-step explanation:
Exponential equation for decay:
The amount of a substance after t years is given by:
In which A(0) is the initial amount and r is the decay rate.
A storage tank contains a liquid radioactive element with a half-life of 96 years.
This means that , and we use this to find r.
So
It will be relatively safe for the contents to leak from the tank when 0.02% of the radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?
This is t for which . So
The tank must remain intact for 1183 years.