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Yuliya22 [10]
3 years ago
14

Two hundred tickets for the school play were sold. Tickets cost $2 for students and $3 for adults. The total amount collected wa

s $490. How many students tickets were sold
Mathematics
2 answers:
Maksim231197 [3]3 years ago
8 0
Set up a proportion, by creating a ratio of students to adults and solve for the unknown quantity.

2/3 = s/490

Cross multiply, multiplying the numerator/top number in the first fraction/ratio by the denominator of the second fraction/ratio.

2 • 490 = 980

Then cross multiply again, multiplying the numerator/top number in the second fraction/ratio by the denominator/bottom number in the first fraction/ratio.

S • 3 = 3s

Then, solve for the variable (S), by dividing both sides of the equation by 3.

3s/3 = 980/3

S = 327

Because student tickets cost $2 each, divide the solution by 2 to get the amount of student tickets sold.

327/2 = 164

So, 164 student tickets were sold.
Marianna [84]3 years ago
5 0

Assuming that no adult tickets were sold, the answer would be 245 tickets.

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TheThe  area of the shaded region  if the radius of the outer circle is 4 and the radius of the inner circle is 2 is 12π.

<h3>Area of the shaded region</h3>

Area of a circle = πr²

r =radius of the circle

Area of the outer circle:

Area of the outer circle = π(4)²

Area of the outer circle = 16π

Area of the inner circle:

Area of the inner circle = π (2)²

Area of the inner circle = 4 π

Area of the shaded Region :

Area of the shaded Region = 16π - 4 π

Area of the shaded Region = 12π

Therefore the  area of the shaded region  if the radius of the outer circle is 4 and the radius of the inner circle is 2 is 12π.

Learn more about area of the shaded region here: brainly.com/question/19577281

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2 years ago
Three students are working to find the solution set of this system of equations: y = 3x + 10 2y = 6x – 4
ivanzaharov [21]

Answer:

Step-by-step explanation:

Since this is a system with two equations, we can easily use a graphing calculator to find the solution

The intersection between the graphs of the equations

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y = 3x - 2

However, we can see that the graphs have the same slope m = 3

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Please see attached graph. The lines are parallel and they never touch each other.

3 0
3 years ago
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HELP PLEASE !!!!!! Need
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Answer:

-x + 1

Step-by-step explanation:

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5 0
3 years ago
State whether each is a property that shows congruence between two triangles using Yes or No.
trapecia [35]

Answer:

yes

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Step-by-step explanation:

3 0
2 years ago
Question. 1 :
vovikov84 [41]
<h3>Answer to Question 1:</h3>

AB= 24cm

BC = 7cm

<B = 90°

AC = ?

<h3>Using Pythagoras theorem :-</h3>

AC^2 = AB^2 + BC ^ 2

AC^2 = 24^2 + 7^2

AC^2 = 576 + 49

AC^2 = √625

AC = 25

<h3>Answer to Question 2 :-</h3>

sin A = 3/4

CosA = ?

TanA = ?

<h3>SinA = Opp. side/Hypotenuse</h3><h3> = 3/4</h3>

(Construct a triangle right angled at B with one side BC of 3cm and hypotenuse AC of 4cm.)

<h3>Using Pythagoras theorem :-</h3>

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16 = AB + 9

AB = √7cm

<h3>CosA = Adjacent side/Hypotenuse</h3>

= AB/AC

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<h3>TanA= Opp. side/Adjacent side</h3>

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4 0
3 years ago
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