Let 'x' represent the amount of 50% mixture used, then '20-x' represents the amount of 10% mixture used
0.25(20) = 0.50x + 0.10(20-x)
solving for 'x' we have x=7.5
20-7.5 = 12.5
7.5 pounds of 50% mixture should be combined with 12.5 pounds of 10% mixture
Add the ratio numbers to be your denominator
5+3+7+1=16
Pieces:
5/16 x124=38.75
3/16 x124=23.25
7/16 x124=54.25
1/16 x124=7.75
The answer is a.
When you are solving problems like this you would use the equation y^2=4ax. The x and Y would be the coordinates. Based on the equation you have given the coordinates would be (6,12) and (6,-12), (24 is split up evenly between the y-axis).
Then we go on to solve the equation by plugging in the numbers 12^2=4a(6)
144=24a
144/24=24a/24
6=a
You need to subtract by 32, then multiply by 1.8
Using an exponential function, it is found that the half-life of the substance is of 5.23 units of time.
<h3>What is the exponential function for the amount of a substance?</h3>
The function is given by:
In which:
- A(0) is the initial value.
- k is the exponential decay rate.
The parameters are given by:
A(0) = 48, k = 0.1325.
Hence the equation is:
The half-life is the amount of time for which A(t) = 0.5A(0) = 24, hence:
t = 5.23.
More can be learned about exponential functions at brainly.com/question/25537936
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