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enot [183]
3 years ago
6

Question 5

Mathematics
2 answers:
sesenic [268]3 years ago
7 0
Let price of ticket be x

Since all tickets cost same price,

50x = 70
Or, x=70/50
.•. x=1.4 $

So the school earns 1.4$ for 1 ticket.
Contact [7]3 years ago
6 0
Well I would say it’s $1.40 because if you do 70\50 you get 1.4 which is how much is the price for one ticket and to make sure just do 1.4 times 50
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What is the surface area of this cylinder?
Tpy6a [65]

Answer:

615.44 would be the answer

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2 years ago
Work out the formula of the nth term in the following quadratic sequence:<br> 19, 15, 9, 1...
Butoxors [25]

In a quadratic sequence we'll get a linear first difference and a constant second difference.  Let's verify that.

n          1   2   3   4

f(n)       19  15  9   1

1st diff   -4  -6  -8

2nd diff     2   2

We see that we got a constant second difference.  We could just extend that and work back up to get more values.

n          1   2   3   4       5    6      7

f(n)       19  15  9   1      -9   -21   -35

1st diff   -4  -6  -8   -10  -12   -14

2nd diff     2   2    2     2    2

That's just an aside; we're after the general formula.  We have

f(1)=19, f(2)=15, f(3)=9

In general we can assume

f(n) = an²  + bn + c

We get three equations in three unknowns,

19 = a(1²)+b(1)+c = a+b+c

15 = a(2²) + b(2) + c = 4a + 2b + c

9 = a(3²) + b(3) + c =  9a + 3b + c

That's a 3x3 linear system; it's easy to solve directly.  Subtracting pairs,

4 = -3a - b

6 = -5a - b

Subtracting those,

-2 = 2a

a = -1

b = -3a -4 = -1

c = 19-a-b = 21

Answer: f(n) = -n² - n + 21

Check:

f(1) = -1 - 1 + 21 = 19, good

f(2) = -4 - 2 + 21 = 15, good

f(3) = -9 - 3 + 21 = 9, good

f(4) = -16 - 4 + 21 = 1, good

Let's check our extended table, how about

f(7)= -49 - 7 + 21 = -35, good

6 0
3 years ago
The line l with equation x - 2y + 2 = 0 crosses the y-axis at the point P. The line
Sauron [17]

Answer:

Area of ΔPQR is 28 units²

Step-by-step explanation:

-P is the point with coordinates ( 0, y-intercept for line x-2y+2 =0)

-rearrange the equation in the point-slope form y=mx+b  to find the y coordinate of the point P( 0, b)

x-2y+2 = 0, subtract x and 2 from both sides

-2y = -x-2, divide by -2 both sides

y= (1/2)x +1 so b=1 and P (0, 1)

-Q  is the point with coordinates ( 0, y-intercept for line 3x+y -15 =0)

-rearrange the equation in the point-slope form y=mx+b  to find the y coordinate of the point Q( 0, b)

3x +y -15 =0, subtract 3x and add 15 to both sides

y= -3x +15 so b=15 and Q(0,15)

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(1/2)x +1 =  -3x +15, add 3x and subtract1

(1/2) x+3x = 15-1, combine like terms

(7/2)x = 14 , multiply both sides by 2

7x = 28, divide both sides by 7

x= 4

y= (1/2)x +1 = (4/2) +1 =3 so R(4,3)

- the area of ΔPQR is (base *height)/2

base= 15-1= 14

height = 4

A= (14*4)/2 = 14*2 = 28

6 0
2 years ago
Equation Practice with vertical angles <br><br><br>Please solve for x
Harrizon [31]

Answer:

x=20

Step-by-step explanation:

These angles are vertical angles so they are equal.

7x-99 = 2x+1

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7x-2x -99 = 2x-2x+1

5x -99 =1

Add 99 to each side

5x-99+99 = 1+99

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Divide each side by 5

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Help plzzzSolution set of 25x2 – 1 = 0 is ____________.
kari74 [83]

Answer:

x = 1/5 ,  and   x = - 1/5

Step-by-step explanation:

25x² – 1 = 0

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5x -1 = 0,  5x + 1 = 0

x = 1/5 ,     x = - 1/5

8 0
3 years ago
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