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tekilochka [14]
2 years ago
7

NEED HELP RIGHT AWAY DONT HAVE ANY TIME TO WAIT!!

Mathematics
2 answers:
shtirl [24]2 years ago
6 0

Answer: There are 10 4-marks questions and 30 2-marks questions.


Fiesta28 [93]2 years ago
5 0
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

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<img src="https://tex.z-dn.net/?f=x%20%20%5Cdiv%203x%20-%202%20%3D%201%20%5Cdiv%203x%20-%204" id="TexFormula1" title="x \div 3x
Maurinko [17]

Hello from MrBillDoesMath!

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x = 1/2 (1 +\- i sqrt(23))

Discussion:

x \3x - 2 =   (x/3)*x - 2   =  (x^2)/3 - 2     (*)

1 \3x - 4   =  (1/3)x - 4                               (**)

(*) = (**)   =>

(x^2)/3 -2 = (1/3)x - 4        => multiply both sides by 3

x^2 - 6 = x - 12                 => subtract x from both sides

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