The equation is V = PI x r^2 x h
r = 1/2 the diameter = 4.5
Volume = 3.14 x 4.5^2 x 5
Volume = 317.9 cm^3
Rainfall in October in Forks, Washington = 8 3/8 inches
= 67/8 inches
Percentage of rainfall that has fallen less in September in Forks, Washington = 60%
Let us assume the amount of rainfall in September in Forks, Washington = x
Then
100x/60 = 67/8
10x/6 = 67/8
5x/3 = 67/8
5x * 8 = 67 * 3
40x = 201
x = 201/40
= 5 1/40 inches
So the amount of rainfall in September in Washinton is 5 1/40 inches.
Answer:
D) x = 3 , x= 10.
Step-by-step explanation:
Given : x²-13x+30=0
To find : Use the zero product property to find the solutions to the equation.
Solution : We have given
x²-13x+30=0
On factoring
x²-10x -3x +30=0
On taking x common from first two terms and -3 from last two terms .
x ( x - 10 ) - 3( x - 10 ) = 0
On grouping
(x -3) ( x -10) = 0.
By the zero product property
x -3 = 0
x = 3 ,
For x - 10 = 0.
x = 10.
Therefore,D) x = 3 , x= 10.
Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
Expand
4x - 28 = 0.3x + 0.6 + 2.11
Simplify 0.3x + 0.6 + 2.11 to 0.3x + 2.71
4x - 28 = 0.3x + 2.71
Add 28 to both sides
4x = 0.3x + 2.71 + 28
Simplify 0.3x + 2.71 + 28 to 0.3x + 30.71
4x = 0.3x + 30.71
Subtract 0.3x from both sides
4x - 0.3x = 30.71
Simplify 4x - 0.3x to 3.7x
3.7x = 30.71
Divide both sides by 3.7
x = 30.71/3.7
Simplify 30.71/3.7 to 8.3
<u>x = 8.3</u>
