Answer:

Step-by-step explanation:
<u>Solving Equations</u>
We have the expression:

And it's required to make y the subject.
It can be done by isolating y on the left side of the equation and the rest of the expression on the right side.
The first step is removing the denominator by multiplying both sides by y-3:

Simplifying the right side:

Remove the parentheses:

Move the y's to the left side and the rest of the expression to the right side:

Factor out y:

Divide by x-1:

Answer:
x = 5
Step-by-step explanation:
x + 5 =
{Midpoint theorem}
2(x+ 5) = x² - x
2x + 10 = x² - x
x² - x - 2x - 10 = 0
x² - 3x - 10 = 0
x² - 5x + 2x - (5*2) = 0
x(x - 5) + 2(x - 5) = 0
(x -5)(x + 2) = 0
{x + 2 is ignored because measurement could not be in negative value}
x - 5 = 0
x = 5
Answer:
<em>Probability ≈ 0.1071</em>
Step-by-step explanation:
Consider steps below;



<em>Solution; Probability ≈ 0.1071</em>
Answer:
V = 6079.04 ft³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
Here diameter = 22 , then r = 22 ÷ 2 = 11 and h = 16 , then
V = 3.14 × 11² × 16
= 3.14 × 121 × 16
≈ 6079.04 ft³ ( to the nearest hundredth )
That creates the number 82,190