If an equation has the same slope it will always be parallel so which y=1/2x-1 then y=1/2x+2
The cubic centimeter one container can hold is 2,878.33 cm³.
<h3>What is the cubic centimeter one
container can hold ?</h3>
In order to determine the cubic centimeter one container can hold, the volume of the container has to be determined.
Volume of the container = volume of the cylinder + (2 x volume of the hemisphere)
Volume of the cylinder = πr²h
Where:
- π = 3.14
- r = radius
- h = height
3.14 x 5² x 30 = 2355 cm³
Volume of a hemisphere = (2/3) x π x r³
2 x (2/3 x 3.14 x 5³) = 523.33 cm³
Volume of the container = 523.33 cm³ + 2355 cm³ = 2,878.33 cm³
To learn more about the volume of a hemisphere, please check: brainly.com/question/26840364
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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
<span>books to bookmarks
books : bookmarks
10 : 1
10 * 3 : 1 * 3
30 : 3
3 bookmarks
Since the book store sold 30 books they also sold 3 bookmarks.
Answer: 3 bookmarks</span>
