Answer:
The number of children are 54, number of students are 84 and number of adults are 27.
Step-by-step explanation:
Let the number of children be ![x](https://tex.z-dn.net/?f=x)
Let the number of students be ![y](https://tex.z-dn.net/?f=y)
Let the number of adults be ![z](https://tex.z-dn.net/?f=z)
As per question,
![x+y+z=165\\5x+7y+12z=1182](https://tex.z-dn.net/?f=x%2By%2Bz%3D165%5C%5C5x%2B7y%2B12z%3D1182)
Now, adults are half of the children.
So, ![z=\frac{x}{2}\\x=2z](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx%7D%7B2%7D%5C%5Cx%3D2z)
Now, plug in
in the first two equations.
![2z+y+z=165\\3z+y=165-----------------3\\\\ 5(2z)+7y+12z=1182\\10z+12z+7y=1182\\7y+22z=1182 ---------------- 4](https://tex.z-dn.net/?f=2z%2By%2Bz%3D165%5C%5C3z%2By%3D165-----------------3%5C%5C%5C%5C%205%282z%29%2B7y%2B12z%3D1182%5C%5C10z%2B12z%2B7y%3D1182%5C%5C7y%2B22z%3D1182%20----------------%204)
Multiply equation (3) by -7 and add it to equation (4).
Solve for the remaining variables.
![x=2z=2\times 27=54](https://tex.z-dn.net/?f=x%3D2z%3D2%5Ctimes%2027%3D54)
![x+y+z=165\\54+y+27=165\\81+y=165\\y=165-81=84](https://tex.z-dn.net/?f=x%2By%2Bz%3D165%5C%5C54%2By%2B27%3D165%5C%5C81%2By%3D165%5C%5Cy%3D165-81%3D84)
Therefore, the number of children are 54, number of students are 84 and number of adults are 27.
Reflexive property of equality If a a is a number, then a = a. a = a. In geometry, the reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself.
Answer:
its an equation
Step-by-step explanation:
an expression is has variables
The answer should be 3x^2 y