Question 1:
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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.
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Question 2:
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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.
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Question 3:
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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
<span>Percent change = [(40 - 90) / 40] x 100 = 125 % (increase) </span>125% increase
Answer:
Length = Width * 3
Width = 2 ft
Length = 2 ft * 3 = 6 ft
Perimeter = (L * 2) + (W * 2)
P = 16 ft
Area = L * W = 12 square feet
Answer:
(7, 0) and (-5, 0)
Step-by-step explanation:
<u>Vertex form</u>
(where (h, k) is the vertex)
Given:
Given:
Therefore:
The x-intercepts are when y = 0
Therefore, the x-intercepts are (7, 0) and (-5, 0)
