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
The equation is
If you put in the numbers you get
This comes to 1056. So the answer is 1056 in^2
Answer:
This statement is false. The side of a triangle that is opposite an angle greater than or equal to 90° is always the largest side of the triangle.
Hello there,
(1) $7934.37
interest would be $2934.37
(2) $2593.74
interest would be $1593.74
(3) $1469.33
interest would be $469.33
(4) $1296.87
interest would be $796.87
(5) $239.66
interest would be $139.66
(6) $4660.96
interest would be $3660.96
Hope I Helped!
-Char
Answer:
18in
Step-by-step explanation:
Given data
Height h= 15 in
Area= 135 in^2
The expression for the area is given as
Area= 1/2 Base * Height
substitute
135= 1/2* Base*15
135= 7.5 Base
Base= 135/7.5
Base= 18 in
Hence the base is 18in
