Answer: there are 10 multiple choice questions and 15 short-answer questions
Step-by-step explanation:
Let x represent the number of multiple choice questions in the test.
Let y represent the number of short-answer questions in the test.
If the test has 25 questions, it means that
x + y = 25
Multiple-choice questions are worth 2 points, and short-answer questions are worth 4 points. The test is worth a total of 80 points. It means that
2x + 4y = 80 - - - - - - - -1
Substituting x = 25 - y into equation 1, it becomes
2(25 - y) + 4y = 80
50 - 2y + 4y = 80
- 2y + 4y = 80 - 50
2y = 30
y = 30/2 = 15
x = 25 - y = 25 - 15 = 10
A. The number of multiple-choice questions plus the number of short-answer questions is 25.
Answer:
The length of XY is 32
Step-by-step explanation:
Notice that you have a bisector segment (that divides the segment XY into two equal parts.
since these parts are equal, they must satisfy:
3 x + 1 = 8 x - 24
so, let's solve for x, grouping terms with x on the right of the equal sign, and numerical terms on the left:
1 + 24 = 8 x - 3 x
25 = 5 x
then x = 25/5 = 5
then,now you can find the length of XY as the addition of both parts:
3 x + 1 + 8 x - 24 = 3 (5) +1 + 8 (5) - 24 = 16 + 16 = 32
Answer:
y=scott the woz
Step-by-step explanation:
