Answer:
12.5
Step-by-step explanation:
We want to find 1/8 of 100 so we would write it as 100÷8 to get 12.5
Now we know that 12.5 is equivalent to 1/8 but let's double check.
12.5×8 is 100
1/8 ×8 is 8/8
100=8/8
The different ratios are 2 : 7, 2 : 9 and 7 : 9
<h3>How to determine the ratio?</h3>
The statement is given as:
8 out of 36 squares unfilled
This means that:
- There are 36 squares
- 8 are unfilled
- 28 are filled
The part-to-part ratio is represented as:
Ratio = Unfilled : Filled
This gives
Unfilled : Filled = 8 : 28
Simplify
Unfilled : Filled = 2 : 7
The part-to-whole ratios are represented as:
Ratio = Unfilled : Total
Ratio = Filled : Total
So, we have:
Unfilled : Total = 8 : 36
Filled : Total = 28 : 36
Simplify
Unfilled : Total = 2 : 9
Filled : Total = 7 : 9
Hence, the different ratios are 2 : 7, 2 : 9 and 7 : 9
Read more about ratio at:
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Answer:
Quadratic Formula
so
x = -5
and
x = 0.5
Step-by-step explanation:
Whenever you see a problem in this form, which you will see a lot of, you can try to factor it or use the "least squares" method or what have you, but those won't always work, unfortunately.
Fortunately, the quadratic formula will never fail you with quadratic expressions.
This is the Quadratic Formula

a is the the number on the variable with the exponent ^2
b is the number on the variable with no exponent
c is the third number
a and b cannot be equal to 0; c can be
Since we're looking for a number with an equation that has a square root in it, we're going to get two answers. These two answers come from the radical being separately added AND subtracted from the radical. It's basically two problems.
Plugging in our numbers to this equation gives us x values of -5 and 0.5. This will always work with polynomials with factors of ^2 in them.
If you have a TI-84 calculator or newer, there's a tool on it that will factor polynomials like this one for you just by giving it the numbers.
Answer:
To find the volume of a composite 3D figure, draw any necessary planes to view the figure as basic three dimensional figures, then:
add basic figure volumes belonging to the composite shape.
subtract basic figure volumes NOT belonging to the composite figure.
Step-by-step explanation: