Answer:
(n + 4) *2 = 11 * 2
Step-by-step explanation:
(n + 4) *2 = 11 * 2
Divide both sides by 2

n + 4 = 11
x = # of balcony seats
y = # of orchestra seats
We have to create a system of equations to solve this problem
x + y = 256
$8x + $12y = $2,716
We will solve this system of equations by elimination.
Multiply the first equation by -8
-8x - 8y = -2048
8x + 12y = 2716
Let's add the equations together
0 + 4y = 668
Simplify the left side
4y = 668
Divide both sides by 4
y = 167
We can subtract 167 from 257 to get the number of balcony seats.
257 - 167 = 90 balcony seats
There are 167 orchestra seats and 90 balcony seats
The proportion
peanuts : raisins : chocolate chips = 4 : 6 : 2
tells you that peanuts make up
4/(4+6+2) = 1/3
of the total quantity of the mix.
The quantity of peanuts required is (1/3)*(48 ounces) = 16 ounces (or 1 pound).
_____
In the 48 ounces of mix, 1 part = 4 ounces.
Answer:
x
Step-by-step explanation:
Answer:
x = 45 and y = 90
Step-by-step explanation:
Let the third angle be z
z = 180 - 135 (Linear Pair)
z = 45
Since its an iscosceles triangle,
<z = <x (angles opposite to equal sides have equal angles)
<x = 45 degree
<z + <x + <y = 180
45 + 45+ <y = 180
90 + <y = 180
<y = 180 - 90
<y = 90
Therefore x = 45 and y = 90
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