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Slav-nsk [51]
3 years ago
5

The admission fee for an amusement park is $12 for adults and $6.50 for children. One weekend, 2904 people paid admission for th

e amusement park, and the park made $27,126. How many adults and how many children paid to go to the amusement park that weekend?
Mathematics
1 answer:
morpeh [17]3 years ago
5 0
It seems that you have missed the necessary options for us to answer this question, but anyway, here is the answer.
Based on the given scenario above, the expression would be this: 
<span> a + c = 2904
12a + 6.5c = 27,126
</span>Wherein a is for adult, and c is for children. 
Here is the solution:
a + c = 2904
a = 2904 - c
Next,
12 (2904-c) + 6.5c = 27,126
34,848 - 12c + 6.5c = 27,126
-5.5c = 27,126 - 34, 848
-5.5c = - 7,722 (divide both sides by -5.5)
c = 1,404

Now going back to the first expression:
a + c = 2904
a + 1,404 = 2904
a = 2904 - 1,404
a = 1500

Hope this answer helps.

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What additional information do you need to prove triangle NOP = triangle QSR?
Wewaii [24]
After careful consideration i think I have an answer... 
So if you notice, These two triangles are a reflection of each other. 
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So lets just name all the sides that equal each other. 
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(by the way i'm going to be saying {the reflective side} every time i want to refer to the side with the two lines :P) - so bare with me. 

So therefore this would mean that ∠P = ∠S would be false, since one angle is from the side that is reflected and the other isn't. Makes sense?

So lets look over at the answers...

A.) PN = SQ 
For this answer choice, PN is on the non reflective side, while SQ is on the reflective side. Soooo... This answer choice is wrong. 

B.) NO = QR
NO  is part of the  unreflective side, while QR is part of the reflective side. 
Therefore this answer is wrong. They must be part of the same side. 

C.) ∠P = ∠S 
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There fore this answer is also wrong. 

D.) ∠O = ∠S 
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There fore this answer is correct . 

YOUR ANSWER IS. 
D.) ∠O = ∠S 

Good Luck! :)


6 0
3 years ago
Express 120 as a product of its prime factors.
raketka [301]
By the Fundamental Theorem of Arithmetic, all number can be expressed as a product of prime numbers.

So naturally, lets divide 120 by an easy prime number.
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Well the obvious ones are 3 and 5, both of which are prime. So now we can just count up how many times we divided it by 2
 
120/2 = 60 60/2 = 30 30/2 = 15 and 15 is just 3 x 5, so: <span>
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or <span><span>
120 = 2 × 2 × 2 × 3 × 5</span></span>
7 0
3 years ago
Read 2 more answers
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