The event will have 27 tables, with 2 adults and 3 children in each table.
Step-by-step explanation:
The greatest number of tables the planner can set up is determined by finding the greatest common factor in 54 and 81. This is given by;
54 81----------------divided by 3
3 18 27---------------divided by 3
3 6 9---------------divided by 3
3 2 3---------------no common divisor
The greatest number of table will be given by : 3×3×3=27
The number of adults in each table will be 2
The number of children in each table will be 3
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Greatest common factor : brainly.com/question/13133626
Keyword : greatest number
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Answer:
The y-value of the vertex is 
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to

where
(h,k) is the vertex of the parabola
In this problem we have
-----> this a vertical parabola open upward
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares


The vertex is the point 
The y-value of the vertex is 
Answer:
Step-by-step explanation:
A horizontal line has the equation "y = " something, while a vertical line has the equation "x = " something. If our line is horizontal through (3, 6), it will be horizontal through the y coordinate (and vertical through the x coordinate). Our equation is y = 6
(The vertical equation through this point would be x = 3, just so you understand what I meant above.)