The first step is to assign the decimal number to a variable.
For the repeating fraction 0.111_1, this would look like
.. x = 0.111_1 . . . . . . . . . . where we use an underscore to identify the following digit(s) as repeating
The next step is to multiply that value by 10 to a power equal to the number of repeating digits. If there is one repeating digit (as here), then you want (10^1)x = 10x.
.. 10x = 1.111_1
The third step is to subtract x from this.
.. 10x -x = 1.111_1 -0.111_1 = 1
.. 9x = 1
And the final step is to divide by the coefficient of x.
.. x = 1/9 . . . . . . this is the value of the repeating decimal fraction.
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Here's one that's a little more complicated. It is done the same way.
.. x = 3.254545_45
.. 100x = 325.454545_45
.. 100x -x = 99x = 322.2
.. x = 322.2/99 = 3222/990 = 179/55
<u>The dependent and independent quality in the given situation:</u>
The given situation is that a long-distance telephone call cost increases with the number of minutes of the call. The two variables are dependent and independent.
The independent variable here in the given situation is the number of minutes of the call since it can be changed as much as we want
The dependent variable is the cost of the long-distance call as it relies on the number of minutes of the call. The cost increases when the number of minutes increases.
X=112
Y=90
Explanation: Y is 90 because you can see that it is a right angle! To find X you can find the 3rd angle that is in the triangle with Y in it (which is 68) and then because X is supplementary to that angle we just found you can do 180-68 which is 112!
Answer:
The slope is 1/3
Step-by-step explanation:
8 – 5 = 3
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7 – -2 = 9
3/9=1/3
