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
Answer:
1.90 2.6
Step-by-step explanation:
Step-by-step explanation:
if the 2 matrices are inverse, then their product must be the identity matrix
1 0
0 1
so,
m×3 + 2×-7 = 1
7×3 + 3×-7 = 0
m×-2 + 2×m = 0
7×-2 + 3×m = 1
that means we have to solve only
3m - 14 = 1
3m = 15
m = 5
Answer:
k= 9
Step-by-step explanation:
hope this helps you
Fritz is correct, in that the ratio is 1:2
Think of the ratio as a division
10:20 = 10/20
When you divide 10 with 20, you will get a decimal (or simplified fraction)
10/20 = 0.5
0.5 = 50 percent, or 1:2
Fritz is correct, in that 1:2 is the ratio
hope this helps
