Which of the following represents the sum of the series? 6 8 10 12 14 16 18 20 22 24 26
1 answer:
The sum of the arithmetic series 6 8 10 12 14 16 18 20 22 24 26 is 176
<h3>How to determine the sum of the series?</h3>The series is given as:
6 8 10 12 14 16 18 20 22 24 26
The above series is an arithmetic series with the following parameters:
First term, a = 6
Last term, L = 26
Number of terms, n = 11
The sum of the series is calculated using:
This gives
Evaluate
Hence, the sum of the arithmetic series 6 8 10 12 14 16 18 20 22 24 26 is 176
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440 gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get a mixture that is 70% antifreeze
<em><u>Solution:</u></em>
Let "x" be the gallons of 80 % antifreeze added
Therefore, "x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze
Final mixture is x + 80
Therefore, we can frame a equation as:
"x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get (x + 80) gallons of 70 % antifreeze
Thus, we get,
x gallons of 80 % + 80 gallons of 15 % = (x + 80) gallons of 70 %
Thus 440 gallons of 80 % antifreeze solution must be mixed