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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So Sahra is 3 times as old as her daugter. That means that the sum of their age is the daughters age times 4.
We can prove that by saying the daughters age is x. Sahra's age must be 3x. Their sum must be x+3x = 4x.
So to get the daughters age we divide the sum by 4, which is 8.
Differentiate using the exponential rule, which determines that ![\bf{\frac{d}{dx}[a^{x}] }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Ba%5E%7Bx%7D%5D%20%20%7D)
is 
when a=3.
Therefore, the correct option is "E". You just have to remove the parentheses.
Answer: Mike's arm span is 7.165 cm longer than the George's one.
Step-by-step explanation:
We have that the association between height and arm span is modeled by the equation
y = 4.5 + 0.977*x
where y is height and x is arm span.
Mike is 172 cm tall, so his arm span is:
172cm = 4.5 + 0.977*x
x = (172 - 4.5)/0.977 = 171.443 cm
and George is 165 cm tall, so his arm span is:
x = (165 - 4.5)/0.977 = 164.278 cm
Then the difference between their arm span is:
171.443cm - 164.278cm = 7.165 cm
So Mike's arm span is 7.165 cm longer than the George's one.
Answer:
Step-by-step explanation: I think it’s option D, f(X) shifts 3 units to the right .
