Answer:
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
Step-by-step explanation:
Let
x = price of balcony tickets
y = price of orchestra tickets
y = 3x (1)
148y + 76x = 3,640 (2)
Substitute y = 3x into (2)
148y + 76x = 3,640 (2)
148(3x) + 76x = 3,640
444x + 76x = 3,640
520x = 3,640
x = 3,640/520
x = 7
Substitute x = 7 into (1)
y = 3x (1)
y = 3(7)
y = 21
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
Answer:
1. 32, 12
2. Enlargement
Step-by-step explanation:
Enlarged by a scale factor of 4
(Multiply all points by 4)
8 x 4 = 32
3 x 4 = 12
It is an enlargement because the points are larger than before.
0.59 increase because it went up
The equivalent expression of 
is 
<h3>How to determine the equivalent expression?</h3>
The expression is given as:
Expand the numerator
Divide 125 and 30 by 5
Apply the law of indices
Evaluate the exponent
Hence, the equivalent expression of is
Read more about equivalent expression at:
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Given :
To Find :
All real value solution of given equation.
Solution :
Simplifying given equation, we get :
sec x( sec x + 2 ) = 0
sec x = 0 and (sec x + 2) = 0
For, sec x = 0 :
x = not defined.
For, (sec x + 2) = 0 :
cos x = -1/2
x = cos⁻¹( -1/2 ) = 2π/3
Therefore, general solution is ( 2nπ ± 2π/3 ), n ∈ Z⁺ .
