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:
it's B.) 8
Step-by-step explanation:
the given pair of angles are <em>corresponding</em><em> </em>angles so, their measures are equal.
=》15x + 10 = 17x - 6
=》10 + 6 = 17x - 15x
=》2x = 16
=》x = 16 ÷ 2
=》x = 8
Answer:
The sum is 493.4
Step-by-step explanation:
In order to find the value of the sum, you have to apply the geometric series formula, which is:
where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.
The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.
In this case:
a=40
b= 1.005
n=12 (because the first term is 40 and the last term is 40(1.005)^11 )
Replacing in the formula:
Solving it:
The sum is 493.4
The bicycle with a 30-inches diameter rolls approximately 28.8 more than a tire with the diameter with 21-inches.
<u><em>How to solve:</em></u>
- First use the formula: C = 3.14d
- Replace the d value with 30 and solve the equation:
C = 3.14 x 30 ⇒ 94.2477796077
- Then solve the equation again but 21 as the d value:
C = 3.14 x 21 ⇒ 65.9734457254
- Then subtract 65.9734457254 from 94.2477796077 to get the approx. answer of 28.8
Answer:
Step-by-step explanation:
<u>Below numbers are divisible by the number of students:</u>
<u>Lets find GCF of 24 and 36:</u>
- 24 = 2*2*2*3
- 36 = 2*2*3*3
- GCF(24,36) = 2*2*3 = 12
The largest possible number of students is 12
