They bought 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Cost of one orchestra seat = $42
Cost of one mezzanine seat = $25
No. of people = 14
Amount spent = $486
Let,
x be the number of orchestra seats
y be the number of mezzanine seats
According to given statement;
x+y=14 Eqn 1
42x+25y=486 Eqn 2
Multiplying Eqn 1 by 25;
Subtracting Eqn 3 from Eqn 2 to eliminate y;
Dividing both sides by 17
Putting x=8 in Eqn 1
They bought 8 orchestra seats and 6 mezzanine seats.
Keywords: linear equation, elimination method
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<u>Answer</u>
5 and -4
<u>Explanation</u>
If the two triangle are congruent then they have the same area.
20 = x² - x
x² - x - 20 = 0
x² - x + (1/2)² = 20 + (1/2)²
(x - 1/2)² = 20.25
x - 1/2 = √20.25
x - 1/2 = 4.5 or x - 1/2 = - 4.5
x = 4 1/2 + 1/2 x = -4 1/2 + 1/2
= 5 = -4
The values of x are 5 and -4.
Answer:
Center: (9,-4)
Radius: 5
Step-by-step explanation:
Equation for a circle:
h=9
k=-4
r=5
center is (h,k)
to find the radius, get square root of 25