Convert the following fraction to a decimal.

Mathematics

1 answer:

Nookie1986 [14]2 years ago

6 0

I think it’s C but I could be wrong but I don’t think I am

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In a certain fraction, the numerator is 4 less than the denominator. If 4 is added to both the numerator and the denominator , t

love history [14]

Answer:

Step-by-step explanation:

If the new fraction is 8/12 I will show how to find it.

Let's say the original denominator is x, then the numerator is x-4, so we have (x-4)/x.

Then it says f we add 4 to both, so now we have x/(x+4) this equals 8/12. Now, keep in mind -4 cannot be an answer because it would make x/(x+4) be divided by 0 which wouldn't exist.

Now we just use algebra.

x/(x+4) = 8/12

12x = 8(x+4)

12x = 8x + 32

4x = 32

x = 8

So the original fraction (x-4)/x = (8-4)/8 = 4/8

5 0

3 years ago

Need help<br> Question in the screenshot below<br> NO spam<br> Please show your work

Alja [10]

<h3>Answer: x = 6</h3>

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Work Shown:

$\log_{4}(x+10)+\log_{4}(x-2)=\log_{4}(64)\\\\\log_{4}\left((x+10)(x-2)\right)=\log_{4}(64)\\\\(x+10)(x-2)=64\\\\x^2-2x+10x-20=64\\\\x^2-2x+10x-20-64=0\\\\$