A test is worth 50 points. Multiple-choice questions are worth 1 point, and short-answer questions are worth 3 points. If the test has 20 questions, how
many multiple-choice questions are there?
O A. The number of multiple-choice questions minus the number of
short-answer questions is 50.
B. The number of multiple-choice questions times the number of
short-answer questions is 20.
O C. The number of multiple-choice questions plus the number of
short-answer questions is 20.
D. The number of multiple-choice questions plus the number of
short-answer questions is 50.
SUBMIT

Step-by-step explanation:

Explanation:

Let's start with the information you know.

Test=50 points

Short answer question=3 points

Multiple choice question= 1 point

There are 20 questions

I solved this by multiplying the question numbers by 3.

If there were 18 short answer questions, then you would solve

18×3=54 points

Too much, considering the test is 50 points.

How about 17×3?

That equals 51, again, too much.

16×3?

Equals 48. This would seem like the perfect answer, except there are 16 short answer questions, and to get to 50 points we would only need 2 multiple choice questions. That doesn't work, because this test has 20 questions and we would only have 18 questions.

Equals 48. This would seem like the perfect answer, except there are

16 short answer questions, and to get to 50 points we would only need 2 multiple choice questions. That doesn't work, because this test has 20 questions and we would only have 18 questions.

15+5=20

There are 15 short answer questions and 5 multiple choice questions.

there is no question content here, but you for the free points! : d

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,