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Andrews [41]
3 years ago
5

What is the rational number equivalent to 3 point 24 with a bar over 24? (1 point) 3 and 6 over 97 3 and 28 over 99 3 and 8 over

33 3 and 10 over 32
Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Hold the "3" for a moment and find the rational fraction that produces 0.24 with a bar over the 24:

0.24242424 ... = (first term) / (1 - common ratio)

= 0.24 / (1 - 0.01)

= 0.24 / (0.99) = 24/99 = 8/33

Then the rational number desired is 3 8/33; if you want to combine this result into one fraction, you'd get (99+8)/33, or 107/33. Check this yourself; the result is 3.24242424.....

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in the system shown below, what are the coordinates of the solution that lies in quadrant I? x^2-y^2=25, x+y=25
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The given equations in this item are,
                     x² - y² =25
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                    x + y = 25

It can be deduced that the first equation is a difference of two squares and can be factored out as that one shown below.
           (x - y)(x + y) = 25

From the second equation, x+y = 25. Substituting this to the equation above,
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Hence, x - y = 1

The system of linear equations is,
                  x + y = 25
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Adding the equations together,
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The value of y is 12.

Since both x and y are positive values then, this solution lies in the first quadrant.

ANSWER: (13,12)
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How many solutions does this equation have?
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Read 2 more answers
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Answer:

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