Answer:
The correct answer is - 12.
Step-by-step explanation:
Given:
Total number of people = y = 39x+50
Total amount spent y = 518
Solution:
The equation for the number of people who attended the dinner
y = 39x+50
The cost of dinner is equally divided by number of people =
then, 518 = y
placing value, 518 = 39x+50
x = (518-50)/39
= 468/39
= 12
Then number of people attended the dinner = 12
20 - 21 - 10 + 5x +1= 0
5x = 10
x = 2
By using exponent properties, we will get the simplified expression:

<h3>
How to simplify the given expression?</h3>
Here we have the expression:

Remember the exponent properties:

And:

So using these two properties, we can rewrite:

So we conclude that the completely simplified expression is:

If you want to learn more about exponents:
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9514 1404 393
Answer:
Step-by-step explanation:
These "special" right triangles have side length ratios that it is useful to remember.
<u>45°-45°-90° triangle</u>
Sides have the ratios 1 : 1 : √2. That is, x is √2 times as long as the side length shown as 18.
x = 18√2
<u>30°-60°-90° triangle</u>
Shortest to longest, sides have the ratios ...
1 : √3 : 2
That is, y is √3 times the length of the side marked 18, and z is 2 times the length of the side marked 18.
y = 18√3
z = 2·18 = 36
The volume is scale factor³
Take the square root of the volume ratio

which is


The ratio of their radii is 3 : 5