Question 1:
------------------------
Total points = 100
Total question = 40
Type of questions : 2-points question and 4-points questions
Assumed all 40 questions are 2-points questions.
Total points = 40 x 2 = 80
Difference in points = 100 - 80 = 20 points
Difference in the 2 type of questions = 4 - 2 = 2
Number of 4 marks questions = 20 ÷ 2 = 10
Number of 2 marks questions = 40 - 10 = 30
Answer: There are 10 4-marks questions and 30 2-marks questions.
------------------------------------------------------------------------------------------------
Question 2:
------------------------
Let x be the number of offices you need to clean.
Total cost = 315 + 4x
Total revenue = 25x
To break even,
315 + 4x = 25x
21x = 315
x = 15
Answer: You need to clean 15 offices to break even.
------------------------------------------------------------------------------------------------
Question 3:
------------------------
Total distance (including return trip) = 255 + 255 = 510 miles
Total time taken = 1.7 + 1.5 = 3.2 hours
Speed = Distance ÷ time
Speed = 510 ÷ 3.2 = 159.38 miles/hour
Answer: The average speed is 159.38 miles/hour
Answer:
y=x+12
Step-by-step explanation:
Well the slope is -4/-4 =1
We plug it into the formula, y=mx+b, but m=1
So it is y=1x+b
We know the points, so we plug y and x in which is:
-4=-4*4+b
-4=-16+b
b=12
So the point slope form of that is y=x+12
Answer:
(5,-4) and (-5,6)
Step-by-step explanation:
Given:
Solve it. First, express y in terms of x from the second equation:
Substitute it into the first equation:
Apply zero product property:
So,
When 
then 
When 
then 
We get two solutions: (5,-4) and (-5,6)
The answer would be 6 exteriors.
