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tekilochka [14]
3 years ago
7

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

Mathematics
2 answers:
shtirl [24]3 years ago
6 0

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


Fiesta28 [93]3 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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Prime factorization of 52​
lara [203]

Answer:

The first prime factor we test is 2:

52 / 2 = 26

26 / 2 = 13

13 is a prime number so the prime factorization is

2 * 2 * 13 = 52

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The axis of the sphere below is 16 units in length. What is the surface area of the sphere?.
Nataly_w [17]
There are enough information's already given in the question. Based on those information's that answer can be easily deduced.
Radius of the sphere = 8 units
Then
Surface area of the sphere = 4 *pi * r^2
                                            = 4 * pi * (8)^2
                                            = 4 * pi * 64
                                            = 256pi
I hope that this answer has come to your help.
5 0
3 years ago
Read 2 more answers
The price of a European tour includes stopovers at five cities to be selected from 15 cities. In how many ways can a traveler pl
serious [3.7K]

Answer:

The correct answer is D. 360,360.

Step-by-step explanation:

Number of cities as stopovers available for selection for an European tour = 15

A traveler has to select a total of five cities from these the given 15 cities for his tour and order is determined by the travel company.

Therefore the number of ways the traveler plan such a tour is given by \left[\begin{array}{ccc}15\\5\end{array}\right] = 3003.

Now the order of the cities chosen by the travel company is given by 3003 × 5! = 360,360 ways.

6 0
3 years ago
A recipe for apple pie calls for 1.2 kilograms of apples. If the average apple has a mass of 200 grams, how many apples should b
lutik1710 [3]

Answer:

6Apples

Step-by-step explanation:

Number of apples required for the recipe  = 1.2kilograms

But we know that 1000g  = 1kg

So;

       1.2 kg will give:

             1.2  x 1000 = 1200kg

Average mass of the apple  = 200g

So;

  The number of apples used  = \frac{1200}{200}  = 6Apples

5 0
3 years ago
In the diagram below what is the approximate length of the minor arc XY
sveta [45]

C = 2pi r= 2 (3.14) (27) = 169.56

Let XY = x

169.56 / 360 = x / 60

360x = 169.56 * 60

360x = 10173.60

x = 28.26

x = 28.3

Answer is C. 28.3 cm

5 0
3 years ago
Read 2 more answers
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