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Mama L [17]
3 years ago
11

At the movie theatre, child admission is $6.30 and adult admission is $9.60 . On saturday, twice as many adult tickets as child

tickets were sold, for a total sales of $535.50 . How many child tickets were sold that day?
Mathematics
1 answer:
joja [24]3 years ago
4 0

Let's assume

number of child tickets sold on saturday is x

number of adult tickets sold on saturday is y

On saturday, twice as many adult tickets as child tickets were sold

so, we get

y=2x

child admission is $6.30 and adult admission is $9.60

a total sales of $535.50

we get

6.30x+9.60y=535.50

now, we can plug y=2x

6.30x+9.60*2x=535.50

now, we can solve for x

25.5x=535.5

x=21

now, we can find y

y=2*21

y=42

so,

number of child tickets sold on saturday is 21

number of adult tickets sold on saturday is 42.........Answer


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X= 7/93 or roughly 0.07526... 
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With reference to the figure, sin X equals?<br> 1.) 0.250<br> 2.)0.447<br> 3.)0.894<br> 4.)1
Flura [38]

Answer:

3.) 0.894

Step-by-step explanation:

✔️First, find BD using Pythagorean Theorem:

BD² = BC² - DC²

BC = 17.89

DC = 16

Plug in the values

BD² = 17.89² - 16²

BD² = 64.0521

BD = √64.0521

BD = 8.0 (nearest tenth)

✔️Next, find AD using the right triangle altitude theorem:

BD = √(AD*DC)

Plug in the values into the equation

8 = √(AD*16)

Square both sides

8² = AD*16

64 = AD*16

Divide both sides by 16

4 = AD

AD = 4

✔️Find AB using Pythagorean Theorem:

AB = √(BD² + AD²)

AB = √(8² + 4²)

AB = √(64 + 16)

AB = √(80)

AB = 8.9 (nearest tenth)

✔️Find sin x using trigonometric ratio formula:

Reference angle = x

Opposite side = BD = 8

Hypotenuse = AB = 8.944

Thus:

sin(x) = \frac{opp}{hyp} = \frac{8}{8.944} = 0.894 (nearest thousandth)

6 0
3 years ago
PICTURE PLEASE HELP.
aksik [14]
By pythagorean theorem

a^2+b^2=c^2

We can find that PL is 12.65

and then by altitude theorem

MA*LA=PA^2

we can find the value of MA

12MA=16

MA=1.33

then by the pythagorean theorem

we can use to find PM

MA^2+PA^2=PM^2

so PM=4.22

then to find the are you multiply length by width

PM*PL

12.65*4.22

So the area is 53.38
8 0
4 years ago
I need help on 4, 5, and 6.
Ahat [919]

Answers and Explanations:

4. They do not have a proportional relationship. For the first 3 sets, you can multiply x by 2.5 to get y. But that does not work for 8 and 18, so there is no proportional relationship between x and y.

5. Yes. For equilateral triangles, the side length is equal to the perimeter divided by 3, the number of sides. Vise versa, the side length times 3 equals the perimeter. If the side length is 3 in, multiply by 3 to get 9 in, the diameter.

6. Yes. it is proportional. X times 80 equals Y. In this case, in 8 hours, 640 tickets were sold.

<em>I hope these help! Feel free to give me Brainliest, if you thought the explanations helped your understanding. :)</em>

6 0
3 years ago
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