Ms. Howard wrote a test. Part A had true/false questions, each worth points. Part B had multiple choice questions, each worth po
ints. She made the number of points for Part A equal the number of points for Part B. It was the least number of points for which this was possible.
1 answer:
Full question attached
Answer and explanation:
Since x = number of true or false questions correct
And y = number of multiple choice questions correct
And each question for x =2 points
each question for y=3 points
since she then needs a total score of more than 93 to pass, we add up total correct questions and
Inequality equation = 2x +3y >93
You might be interested in
Answer:
- Only one solution
- (x, y) = (-0.8, -3.6)
Step-by-step explanation:
You know there is only one solution because the ratio of x- and y-coefficients is different in the two equations. That means the lines will have different slopes, so must intersect in exactly one point.
__
The y-coefficients are opposites, so you can eliminate the y-variable by adding the equations:
(2x -y) + (3x +y) = (2) + (-6)
5x = -4
x = -4/5 = -0.8
Substituting this into the second equation, we have ...
3(-0.8) +y = -6
y = -3.6 . . . . . . . add 2.4 to both sides
The solution is (x, y) = (-0.8, -3.6).
__
You can also find the solution by graphing (or using a graphing calculator).
Answer:
Step-by-step explanation: