We conclude that the starting average grade is 79.17%
<h3>
How to write the equation and solve it?</h3>
There are 50 students, let's say that the grades are measured between 1% and 100%.
And the average grade of the 50 students is A.
We know that after it increased by 20%, the average of the grades is 95.
Then we just need to solve the percentage equation:
95 = A*(1 + 20%/100%) = A*(1.2)
95/1.2 = A = 79.17
We conclude that the starting average grade is 79.17%
If you want to learn more about percentages:
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Answer:
x = 1
Step-by-step explanation:
The line 1 passing through the points (-2,4), (0,2) and (1,1) is represented by the function f(x).
Again the line 2 is represented by y = g(x) and it passes through the points (-3,-3), (0,0) and (1,1).
So the only common point between line 1 and line 2 is (1,1) and it will be unique since two straight lines meet at only one point if they are not parallel.
Hence, for x = 1 input value produces the same output value y = 1 for the two functions f(x) and g(x) on the graph. (Answer)
Answer:
y = 200x + 7000
Step-by-step explanation:
950x-750x=200x
27,000-20,000=7000
hope this helps
Answer:
Step-by-step explanation:
its too small. i cant read it
Answer:
12°, 78°, 90°
Step-by-step explanation:
let the third angle be x then the second angle is 7x - 6
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 7x - 6 + 90 = 180, that is
8x + 84 = 180 ( subtract 84 from both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Thus second angle = 12° and third = 7(12) - 6 = 84 - 6 = 78°
The 3 angles are 12°, 78° and 90°
