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hram777 [196]
3 years ago
13

Express 0.484848..... in p/q form​

Mathematics
1 answer:
cupoosta [38]3 years ago
7 0
<h3>Answer:  16/33</h3>

It's in p/q form where p = 16 and q = 33.

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

Work Shown:

x = 0.484848.....

100x = 48.4848.....

I multiplied both sides by 100 to move the decimal over 2 spots. Both decimal values for x and 100x have an infinite string of "48"s repeated after the decimal point. When we subtract, those infinite strings will cancel out

100x - x = 99x

48.4848..... - 0.484848..... = 48

So after subtracting straight down, we have the new equation 99x = 48 which solves to x = 48/99

Divide both parts by the GCF 3 to fully reduce

48/3 = 16

99/3 = 33

Therefore, x = 48/99 = 16/33 = 0.484848...

I recommend using a calculator to confirm that 16/33 = 0.484848...

Side note: your calculator may round the last digit, but this is of course rounding error

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Answer:

the solution of the system is:

x = 1 and y = 2.

Step-by-step explanation:

I suppose that we want to solve the equation:

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To solve this, we first need to isolate one of the variables in one of the equations.

Let's isolate y in the first equation:

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y = (6 + 6*x)/6

y = 6/6 + (6*x)/6

y = 1 + x

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9*x + 3 = 12

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Now that we know that x = 1, we can replace this in the equation "y = 1 + x" to find the value of y.

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6 0
3 years ago
What is the inverse of f(x)=2^x
GuDViN [60]

Answer:

<h2>{f}^{ - 1} (x) =  \frac{ln(x)}{ln(2)}</h2>

Step-by-step explanation:

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y =  {2}^{x}

x =  {2}^{y}

{2}^{y}  = x

ln( {2}^{y} )=ln(x)

yln(2)=ln(x)

<h3>\frac{yln(2)}{ln(2)}  =  \frac{ln(x)}{ln(2)}</h3><h3>y =  \frac{ln(x)}{ln(2)}</h3><h3>{f}^{ - 1} (x) =  \frac{ln(x)}{ln(2)}</h3><h3>Hope it is helpful...</h3>
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3 years ago
What is 1,248 divide by 16?
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I think the answer is 78. 
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WHAT IS THE LENGTH!!!
Murljashka [212]

The figure is a trapezoid (or trapezium), and the exact length of the trapezoid is 5 units

<h3>How to determine the length?</h3>

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Length = x

The area of a trapezoid is:

Area = 0.5 * (Base + Length) * Height

So, we have:

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Read more about areas at:

brainly.com/question/24487155

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