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Sagot :
Answer:
X can equal 22.5
Step-by-step explanation:
I've set up the equation below:
[tex]\frac{2}{3} +\frac{5}{x} =\frac{8}{9}[/tex]
With this equation, as any addition equation goes, we assume it to be like this:
A + B = C
so
C - A = B
that means,
[tex]\frac{8}{9} -\frac{2}{3} =\frac{5}{x}[/tex]
The easiest thing to do is to make 2/3 have the same denominator as 8/9, we do this by...
[tex]\frac{2}{3} *\frac{3}{3} = \frac{6}{9} \\[/tex]
So...
[tex]\frac{8}{9} -\frac{6}{9} =\frac{2}{9} =\frac{5}{x}[/tex]
We now know that 5 over x equals 2 over nine. We can determine x by cross multiplying as follows:
[tex]\frac{5}{x} =\frac{2}{9} \\2x = 45\\x=22.5[/tex]
So, x is 22.5, making the equation indeed solvable.
Have a nice day, fam. This problem really worked my brain! Spread The Love.
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