Answer:
There are 406 students in the school
Step-by-step explanation:
Let the number of students in the school be x
The total ratio is 11 + 3 = 14
The ratio that buys lunch is represented by 3
So, we have it that;
3/14 * x = 87
3x = (14 * 87)
x = (14 * 87)/3
x = 406
Answer:
The length of the pother piece of the wood is 25 cm.
Step-by-step explanation:
Let the length of a piece of wood is x such that the ratio of two pieces is 2:5. Two pieces are 2x and 5 x
Length of the first piece is 10 cm. It means, 2x = 10 i.e. x = 5
We have considered that the length of other piece is 5x. It means 5×5 = 25 cm.
Hence, the length of the pother piece of the wood is 25 cm
Hopefully this helps, and sorry I didn't do 8 I'm limited on time
No question is asked so I'm not sure what you are looking for but below I calculated the point where the two equations intersect:
y - x = 4 → y = x + 4
y = - x² + 6x
x + 4 = - x² + 6x
x² - 5x + 4 = 0
(x - 4)(x - 1) = 0
x = 4, x = 1
when x = 4, then y = x + 4 = 4 + 4 = 8 → (4,8)
when x = 1, then y = x + 4 = 1 + 4 = 5 → (1,5)
The line and parabola intersect at two points: (4,8) and (1,5)
Answer:
0, 1, 2
Step-by-step explanation:
So, since there are three consecutive integers, you have the equations
x, x+1, x+2 where x is the smallest number.
The greatest of the three integers= x+2
Finish setting up your equation;
2(x+x+1)=x+2
Combine like terms;
2(2x+1)=x+2
Distribute;
4x+2=x+2
3x=0
x=0
x+1=1
x+2=2
Hope this helps:) Have a good day!
