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
Answer: x = - 12/9 ( the equation is negative)
Step-by-step explanation:
\frac{5}{3}x+\frac{1}{3}=13+\frac{1}{3}x+\frac{8}{3}x
\frac{5}{3}x=3x+\frac{38}{3}
\frac{5}{3}x-3x=3x+\frac{38}{3}-3x
-\frac{4}{3}x=\frac{38}{3}
3\left(-\frac{4}{3}x\right)=\frac{38\cdot \:3}{3}
-4x=38
\frac{-4x}{-4}=\frac{38}{-4}
x=-\frac{19}{2}
Symmetrical because the numbers in a bar graph show sort of a pyramid-like shape, rather than a skewed or flatter shape.
The answer is 13 you have to add the top and bottom
Answer:
1 mile every 7.6 min
Step-by-step explanation:
