A test worth a total of 100 points contains multiple choice questions worth 3 points each and essay questions worth 11 points ea
2 answers:
Answer:
Test contains 15 multiple choice and 5 essay .
Option (B) is correct .
Step-by-step explanation:
Let us assume that the multiple choice questions be x.
Let us assume that the essay questions be y.
As given
A test worth a total of 100 points contains multiple choice questions worth 3 points each and essay questions worth 11 points each.
Than the equations becomes
3x + 11y = 100
There are 20 questions on the test.
Than the equations becomes
x + y = 20
The two equations are
3x + 11y = 100 and x + y = 20
Multiply x + y = 20 by 3 and subtracted from 3x + 11y = 100
3x - 3x + 11y - 3y = 100 - 60
8y = 40
y = 5
put in the equation x + y = 20
x + 5 = 20
x = 20 - 5
x = 15
Therefore test contains 15 multiple choice and 5 essay .
You might be interested in
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut point with the y axis.
By definition, if two straight lines are parallel then their slopes are equal. Thus, the slope of the line sought will be
We substitute the given point to find b:
Finally the line is:
Answer: