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:
n = 6
Step-by-step explanation:
1/2n + 3 = 6
1/2n = 3
n = 6
Answer:
4y+5 vegetable seeds.
Step-by-step explanation:
In order to find the total amount of vegetable seeds, you need to add y+3y+5.
You have to combine your like terms.
3y and y are like terms, so you add them to get 4y. 5 and 4y are not like terms, so you just write your expression as 4y+5.
Hope this helps!
Answer: x = -30
Step-by-step explanation:
y = -20 by using process of elimination substitute y as -20 in either of the equations you get -30 for x
Answer:
The child needs a score of 37.2 to move up to the next level of the competition.
Step-by-step explanation:
The mean is the sum of all scores divided by the number of competions. So
In which S is the sum of all her scores and T is the number of competitions.
The child has five competions:
Which means that 
She has to get a mean of at least 36.5, so 
Her scores are: 35.5, 36.3. 36.6, and 36.9. Her last score, i am going to call x. So
The child needs a score of _____ to move up to the next level of the competition.
This score is x. So
