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ss7ja [257]
3 years ago
14

What is the value of x? 7.5/x= 30/16​

Mathematics
2 answers:
hoa [83]3 years ago
7 0

Answer:

4

Step-by-step explanation:

I divided 30/16 and got 1.875, then I knew that 7.5 would have to have the same answer. I did a process of elimination by dividing 7.5 by numbers at random and finally divided by 4 and got the answer. Another way to get the answer would be to cross multiply the equation.

Yakvenalex [24]3 years ago
6 0
X=4

7.5/4=30/16
120=30x
4=x
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This problem can be solved using the <u>Radioactive Half Life Formula: </u>

<u />

A=A_{o}.2^{\frac{-t}{h}}   (1)

Where:

A=2.7g is the final amount of the material

A_{o}=10g is the initial amount of the material

t is the time elapsed  (the quantity we are asked to find)

h=432y is the half life of americium-241

Knowing this, let's find t from (1):

2.7g=(10g).2^{\frac{-t}{432y}}  

\frac{2.7g}{10g}=2^{\frac{-t}{432y}}  

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Applying natural logarithm in both sides:

ln(0.27g)=ln(2^{\frac{-t}{432y}})  

-1.309=-\frac{t}{432y}ln(2)  

-t=\frac{(-1.309)(432y)}{0.693}  

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<u>Finally:</u>

t=816y

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