Answer:
The original piece of wood is 108 cm
Step-by-step explanation:
From the given ratio, the shortest is of the ratio 5 and the longest is of the ratio 7
Let the original piece of wood be x
so the sum of the ratios will be;
5 + 6 + 6 + 7 = 24
the shortest length would be 5/24 * x
= 5x/24
the longest will be 7/24 * x = 7x/24
From the question;
7x/24 -5x/24 = 9
(7x-5x) = 24(9)
2x = 24(9)
x = (24 * 9)/2
x = 108 cm
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:
A. 3h – 9/2 B.
Step-by-step explanation:
Answer: 1 11/16
Step-by-step explanation:
5 divided by 5 is 1 so that’s a whole number and 11 is left 16-5=11 so the fraction will be the mixed number as 1 11/16. And also if you can, can you plz help me on my science hw it’s due tomorrow and I don’t know what to do!
