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sattari [20]
3 years ago
11

Solve 1/2(4x + 6) = 1/3(9x - 24) with and without using the LCD of the fraction. Are your answers the same?

Mathematics
1 answer:
Sedbober [7]3 years ago
4 0
For the answer to the question above asking to s<span>olve 1/2(4x + 6) = 1/3(9x - 24) with and without using the LCD of the fraction.
The problem is simple.

just multiply 1/2 to 4x + 6 which will result to 2x+3

same method on the 1/3 to 9x - 24 and it will result to 3x-8

2x+3 = 3x - 8

3x-2x = 8+3

then the answer will be  x= 11</span>
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Segment in the direction from A to C
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Final point: C=(-7,1)=(xc,yc)→xf=xc=-7, yf=yc=1
B=(xb,yb)=?
Proportion: r=AB/BC=3:1=3/1→r=3
 
xb=(xi+r*xf)/(1+r)
Replacing xi=xa=9, xf=xc=-7 and r=3
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xb=(9-21)/4
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yb=(yi+r*yf)/(1+r)
Replacing yi=ya=5, yf=yc=1 and r=3
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Using conversions of mixed numbers, the numbers that are equivalent to 2 and 7/9 are given by:

25/9 and 2.777.

<h3>What are the conversions of the mixed number 2 and 7/9?</h3>

To convert to decimal, we just add the integer part with the fractional part converted to decimal(dividing the numerator by the denominator), hence:

2 and 7/9 = 2 + 7/9 = 2.7777.

To convert to fraction, the procedure is similar, we just apply the least common multiple to add the fraction, as follows:

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Hence the numbers that are equivalent to 2 and 7/9 are given by:

25/9 and 2.777.

More can be learned about conversions of mixed numbers at brainly.com/question/21610929

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