Focus on 12x. Divide the 12 by 2. = 6.
The answer is (x+6)^2. On the right side
On the left side. Use the 6 and square it. 6^2 =36
Answer::: x^2 + 12x + 36 = (x+6)^2
- Make an equation representing the number of vehicles needed.
We have six drivers so
x + y ≤ 6
That's not really an equation; it's an inequality. We want to use all our drivers so we can use the small vans, so
x + y = 6
- Make an equation representing the total number of seats in vehicles for the orchestra members.
s = 25x + 12y
That's how many seats total; it has to be at least 111 so again an inequality,
25x + 12y ≥ 111
We solve it like a system of equations.
x + y = 6
y = 6 - x
111 = 25x + 12y = 25x + 12(6-x)
111 = 25x + 72 - 12x
111 - 72 = 13 x
39 = 13 x
x = 3
Look at that, it worked out exactly. It didn't have to.
y = 6 - x = 3
Answer: 3 buses, 3 vans
Did you figure this out ever because if not than i can help you
For every 100 students, 72 prefer pizza.
The are 15 groups of 100 students each amongst 1500 students;
The total number of students preferring pizza then is;
15*72= 1080
Simplified Mixed number:
5 24/25