Answer:
<u>There are 10 multiple-choice questions and 15 short-answer questions in the test</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Test worth 80 points
Multiple-choice questions are worth 2 points
Short-answer questions are worth 4 points
Multiple-choice questions + Short-answer questions = 25
2. How many multiple-choice questions are there?
Let's solve this problem, this way:
m = Multiple-choice questions
s = Short-answer questions
Our equations system is:
m + s = 25
2m + 4s = 80
Solving for m in the 1st equation:
m + s = 25
m = 25 - s
Substituting m in the 2nd equation and solving for s:
2m + 4s = 80
2 * ( 25 - s) + 4s = 80
50 - 2s + 4s = 80
2s = 80 - 50
2s = 30
<u>s = 30/2 = 15</u>
Substituting s in the 1st equation and solving for m:
m = 25 - 15
<u>m = 10 </u>
<u>There are 10 multiple-choice questions and 15 short-answer questions in the test</u>
1/2 + 3/4
1/2 = 2/4 therefore
2/4 + 3/4 = 5/4
5/4 (improper fraction) = 1 1/4 (mixed fraction)
hope this helps
F(2)= (2)+1/4(2)-2
F(2)=3/6
F(2)= 1/2
Answer:
B<C
Step-by-step explanation:
-a is the opposite of a. Since a is a negative number, it will become positive and be bigger than b, which is negative.
c is a positive number, so the opposite will be negative and can not be bigger than c.
Answer:
I am pretty sure the answer is 23
Step-by-step explanation:
The answer is 23 because if you multiply 23 by 10 you get 230 which is the same if you divided 230 by 10 and you get 23.
