This is the theory of algebra, to simply the expression we proceed as follows;
[sqrt(x-2)+5/sqrt(x-2)]/(x-2)
simplifying the numerator we get:
sqrt(x-2)+5/sqrt(x-2)
=[x-2+5]/sqrt(x-2)
=(x+3)/sqrt(x-2)
therefore our entire expression will be:
[(x+3)/sqrt(x-2)]/(x-2)
[(x+3)/(x-2)^(1/2)]*1/(x-2)
applying the law if indices we get
=(x+3)/(x-2)^(3/2)
Answer:
1 1/5
Step-by-step explanation:
2/5 x 3 as a Fraction = 1 1/5
Improper Fraction = 6/5
Mixed Number = 1 1/5
Answer:
254.5 Inches Cubed
Step-by-step explanation:
Formula for Finding the Volume of a Cylinder: 
The radius is 3 inches.

The height is three times the radius.
Multiply the radius by three to get the height.

The height is 9 inches.
Use the formula to find the volume.

The exact volume is 81
inches cubed.
≈ 254.47
254.47 ≈ 254.5
The volume of the cylinder should be about 254.5 inches cubed.
The decimal form of 4/5 is .8, which can also be written as 0.8 or 0.80.Fractions can be converted into decimals using a calculator or by doing the math manually
Answer:
A minimum of 16 rows are needed
Step-by-step explanation:
Here, we want to calculate the number of rows minimum that could seat 382 people in rows of 24 seats.
Mathematically, what we need to do here is to make a division.
We shall divide the number of people by the number of seats in a row so that we can get the number of rows needed.
Mathematically, that would be; 382/24 = 15 22/24
We are looking at a minimum number.
So we can see that 15 rows will be filled, with an extra 22 seats in the next row leaving only 2 seats in the next row unoccupied.
So we can see that the minimum number of rows required is 16 rows