I just learned a short time ago how to convert a repeating decimal to a fraction.
-- Take the repeating part of the decimal. In this one, it's '764' .
-- Make a fraction out of it by writing it over the same number of 9s.
The fraction here is 764/999 .
-- Simplify it if possible and if you feel like it.
764/999 can't be simplified. (I think.)
So the rational expressions for this decimal are
(5 and 764/999) or 5759/999 .
This one can besolved using system of equations. From the first statement we can assume that
length = 2 * width. The area of rectange equals product of it's width and length. By knowing that and following to the second statement we get the second equation:
(3 * width) * (length - 5) = width * length + 4. Let's mark the
width as
x and the
length as
y and write down our equations system:
Using substituion method, lets replace every
y with
2x within second equation and solve it:
Now lets find the discriminant in order to solve this quadratic equation:
The second root is negative, so we ignore it as
x represents width which can't be negative.
Now, using found root, let's find
y value from the first equation:
So,
the width is equal 4 (and the length is equal 8).
You should really edit that to were there r diagrams
Sample response from edge nuity: To find the celsius temperature, substitute 86 for F in the formula. Then, use the order of operations to simplify. Substract 32 from 86. Then multiply 5 9 by 54 to get 30°C. I took the test.