Solve the problem.
1 answer:
Answer:
the percent of increase is 24%
Step-by-step explanation:
The percent of increase in general could be calculate as:
where Vf is final value and Vi is initial value.
From the question we know that Vi is equal to 25 and Vf is equal to 31. Replacing this values on the equation we get:
That's mean that at second attempt the percent of increase is 24%, taking into account that at the first attempt a student get 25 questions correct.
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Answer:
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "c" is the y-intercept.
By definition:
1. If the lines of the System of equations are parallel (whrn they have the same slope), the system has No solutions.
2. If the they are the same exact line, the System of equations has Infinite solutions.
(A) Let's solve for "y" from the first equation:
You can notice that:
In order make that the System has No solutions, the slopes must be the same, but the y-intercept must not. Then, the values of "a" and "b" can be:
Substituting those values into the second equation and solving for "y", you get:
You can idenfity that:
Therefore, they are parallel.
(B) In order make that the System has Infinite solutions, the slopes and the y-intercepts of both equations must be the same. Then, the values of "a" and "b" can be:
If you substitute those values into the second equation and then you solve for "y", you get:
You can identify that:
Therefore, they are the same line.
Answer:
(a)100,000
(b)53,000
Step-by-step explanation:
(a)
Let the total votes be x.
Given 31% of x=31000
So,total votes are =100,000
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(b)
Winning margin =53000−31000=22000.
=
Therefore, the Winning margin is 22000.
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