There are 300 seats in the theater.
Step-by-step explanation:
Given,
Cost of one VIP ticket = $20
Cost of one regular ticket = $8
Worth of sold out tickets = $3600
Let,
x represent the number of VIP tickets sold
y represent the number of regular tickets sold
20x+8y=3600 Eqn 1
y = 2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 36
Putting x=100 in Eqn 2
Total = x+y = 100+200 = 300
There are 300 seats in the theater.
Keywords: linear equation, substitution method
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Answer: 294√3
Explanation:
1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a
2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.
3) Then you can use Pythagorean theorem fo find a:
14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3
4) Therefore, the area of one triangle is: 14 × 7√3 / 2 = 49√3
5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3
B. Yes it's an exponential function because the y is increasing rapidly without a constant rate of change
Answer:
42 minutes
Explanation:
The total amount of anything expressed in percentage is 100%.
The reason for this is that per cent means per hundred.
So, 100% is
100
×
1
100
=
100
×
1
100
=
1
, which is a whole.
Moving to the question, a total of 25% + 5% = 30% of the time is used up by commercials and credits.
The time left for the program is 100% - 30% = 70%.
This is 70% of 60 minutes or
70
100
×
60
=
7
0
1
00
×
6
0
=
Step-by-step explanation:
Patient A - 150 mg
Patient B - 50 mg
I hope this helps :)