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>
Answer 1
steps. first of record and gather like terms (-2xy^2+6xy^2)-4xy
next collect coefficient like terms (-2+6)x Xy^2-4xy
then calculate the sum or difference 4xy^2-4xy
Odysseus and his men then took the timber and heated the sharpened end in the fire until it glowed red. Then, with all their strength, they pushed the red-hot point into the eye of Polyphemus.
24 cans in total is your answer
Answer:
all are "yes"
Step-by-step explanation:
A polynomial is defined for all values of x. None are excluded. Every value listed is in the <em>domain</em> of f(x) = (x +1)².