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FrozenT [24]
3 years ago
15

Answer? Please make sure you answer it as a simplified fraction.

Mathematics
1 answer:
Tju [1.3M]3 years ago
8 0
<h3>Answers:  </h3><h3>a = 4</h3><h3>b = 11</h3><h3>The fraction is 4/11</h3>

==================================================

Work Shown:

Let x = 0.363636...

The "36" pattern goes on forever as indicated by the three dots.

Multiply both sides by 100 to get 100x = 36.363636...

Effectively, multiplying by 100 moves the decimal point over 2 spots to the right. The "36" goes on forever here too. The key is to match up the infinite sequences of "36"s and cancel them out through subtraction

36.363636... - 0.363636... = 36

while

100x - x = 99x

So after subtracting the equations, we end up with 99x = 36

From here we solve for x by dividing both sides by 99 and reducing the fraction

99x = 36

x = 36/99

x = (9*4)/(9*11)

x = 4/11

As a check, use your calculator to find that

4/11 = 0.36363636...

so the answer is confirmed

Note: your calculator may display something like 0.3636363636364, that 4 should not be there. It's a result of rounding (due to the next digit being a 6). Keep in mind that rounding error is often a possibility when it comes to approximate calculations. The calculator only has so much memory and display space.

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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8 0
2 years ago
This is 70 points I will report anyone who answers wrong just for points! I will be asking TWO questions Please answer correctly
Ratling [72]




QUESTION 1: In these type of question, the easiest way to get the answer is try to plug in the x and y values from the options given in the equation given, So in the first question all the choice except C are more then 14 if you plug in x and y's, for eg, if you plug in x = 3 and y = 2 , you get (3+3)2 = 14 6 x 2 = 14 12 is not equal to 14, so this eliminates this choice but if you chose C you get, (11+3)1 = 14 14 = 14 so this makes C the solution for first question and for the second question do the same thing, and the answer will be D. Hope this helps




QUESTION 2: 5xy + 9 = 44

5xy = 35

xy = 7

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C. (1, 7) and (7, 1)

not mentioned: (-1.-7) and (-7, -1)






Hope this helps



Plzz don't forget to rate and thanks me


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