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anygoal [31]
3 years ago
13

11) The Cost of maintaing a

Mathematics
1 answer:
dezoksy [38]3 years ago
3 0

Answer:

a). Cost of 44 pupils = $14265

b). Least number of pupils = 31

Step-by-step explanation:

The given question is incomplete; here is the complete question.

The cost of maintaining a school is partly constant and partly varies as the number of pupils. With 50 pupils, the cost is $15,705.00 and with 40 pupils, it is $13,305.00.

(a) Find the cost when there are 44 pupils.

(b) If the fee per pupil is $360.00, what is the least number of pupils for which the school can run without a loss?

Let the equation representing the total cost of maintaining a school is,

C = ax + b

Where C = Total cost of maintaining a school

a = Fee per pupil

b = Fixed running cost

x = number of pupils

a). Cost of 50 pupils = $15705

    Equation will be,

    15705 = 50a + b -------(1)

    Cost of 40 pupils = $13305

    Equation will be,

    13305 = 40a + b --------(2)

    By subtracting equation (2) from equation (1),

    15705 - 13305 = (50a + b) - (40a + b)

    2400 = 10a

    a = 240

    From equation (1),

    b = 3705

    Equation representing the total cost will be,

    C = 240x + 3705

    If x = 44

    C = 240(44) + 3705

    C = $14265

b). If the fee per pupil 'a' = $360

    Let the number of pupils = p

    Total fee of 'p' pupils = $360p

    Total cost to run the school will be = 3705 + 240p

    For the school not to be in the loss,

    360p ≥ 3705 + 240p

    360p - 240p ≥ 3705

    120p ≥ 3705

    p ≥ \frac{3705}{120}

    p ≥ 30.875

    Therefore, to run the school without loss, number pupils should be at least 31.

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A plane that carries mail makes a round trip each day from Chicago to New York. It makes 1 intermediate stop on the way to New Y
Zolol [24]

Answer:

Algebra - Question related to graphs?

A plane that carries mail makes a round trip each day from Chicago to New York. It makes 3 intermediate stops on the way to New York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?

Well, the only time the graph would touch the x-axis (horizontal axis) would be at 0 altitude so, counting the 3 stops on the way to NY then the 1 stop back to Chicago would be four. But if you think about it when the planes are at it's destination it's also at 0 altitude. So you'd add another 3 (Chicago to New York then back to Chicago)...right? Then the graph would touch x-axis approximently 7 times?  

Dose that make sense?

1:    Yes

Way out.

NY,S1,S2,S3,Ch

Way back

Ch,S4,NY

The Ch is the same therefore total is 7.

2:    

a(n)=-6+(n-1)(6)

3:  Well, the only time the graph would touch the x-axis (horizontal axis) would be at 0 altitude so, counting the 3 stops on the way to NY then the 1 stop back to Chicago would be four. But if you think about it when the planes are at it's destination it's also at 0 altitude. So you'd add another 3 (Chicago to New York then back to Chicago)...right? Then the graph would touch x-axis approximently 7 times.........

4:    A plane that carries mail makes a round trip each day from Chicago to New York. It makes 3 intermediate stops on the way to New York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?        

i guess it would be 7 as the answer because: Well, the only time the graph would touch the x-axis (horizontal axis) would be at 0 altitude so, counting the 3 stops on the way to NY then the 1 stop back to Chicago would be four. But if you think about it when the planes are at it's destination it's also at 0 altitude. So you'd add another 3 (Chicago to New York then back to Chicago)...right? Then the graph would touch x-axis approximently 7 times.........

Step-by-step explanation: Different Brainly's

1:    Answer:     7

Step-by-step explanation:     The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.

Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.

Next, when the plane lands in New York the altitude will touch the horizontal axis.

Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.

Lastly the altitude will touch the axis when plane lands back in Chicago.  

So, cumulatively the altitude will touch the horizontal axis seven times.

2:    I Don't Know

3:    Answer:

5 is the right answer

Step-by-step explanation:

The graph will touch the horizontal x each time the altitude is zero.

Tha happens: 1st in Chicago before taking off, 2nd, in the intermediate place before getting to NY, 3rd in NY, 4th in the intermediate place before getting to Ch, and 5th when arrives to Ch.

4:    Answer:

7

Step-by-step explanation:

The graph that is drawn here shows the altitude as a function of time. When the plane takes off from Chicago, the graph will start from the horizontal axis.

Next, when the plane takes 3 intermediate stops, altitude will touch the horizontal axis 3 times.

Next, when the plane lands in New York the altitude will touch the horizontal axis.

Next, when plane takes off from New York and takes an intermediate stop, altitude will touch horizontal axis.

Lastly the altitude will touch the axis when plane lands back in Chicago.

So, cumulatively the altitude will touch the horizontal axis seven times.

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The value of p for which the lines 3x + y + 2 = 0, 2x - y + 3 = 0, and x+
Murrr4er [49]

Answer:

Step-by-step explanation:

the system is :  3x + y + 2 = 0.......(1)

                          2x - y + 3 = 0......(2)

                         x+ py - 3 = 0......(3)

(1)+(2) : 3x+y+2 +2x-y+3 =0

           5x+5 =0

so : x = -1

put x = -1 in equation (2) : 2(-1)-y+3 = 0

so : y = 1

the intersection point is A(-1 ; 1)

put x = -1 and y = 1 in equation (3) : -1+p(1)-3 =0        so : p = 4

sketch the line :3x + y + 2 = 0 and 2x - y + 3 = 0 and  x+ 4y - 3 = 0

y = -3x-2 ...(color red)  and y=2x+3....(color blue) and  y = -1/4x +3/4...(color purple)

7 0
4 years ago
Calculate the length of the circumfrence of a circle with diameter of 3.3m
fenix001 [56]
The formula to find the circumference of a circle is : 
c=2 ~pi~ r
To find the radius we would divide 3.3 by 2
The radius is always HALF of the diameter. 
3.3/2=1.65
Now we know r=1.65
So we plug that into the circumference formula:
c=2(3.14)(1.65)
pi=3.14
Once you multiply all the numbers together you get:
C=10.36m

7 0
3 years ago
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777dan777 [17]

Step-by-step explanation:

3)

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mixer [17]

Answer:

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Step-by-step explanation:

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