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3 years ago

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.

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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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3 years ago

Read 2 more answers

Which expression is equivalent to -16 - 9? O A. 16+9 O B. -16 +(-9) O C. -16 + 9 O D. 16 + (-9)

g100num [7]

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dimaraw [331]

Answer:

$\boxed{\textsf{ The total surface area of the cuboid is \textbf{62 cm} $\sf ^2$ .}}$

Step-by-step explanation:

Given that the base area of the cuboid is 7cm² . And it's volume is 21cm³ . We need to find its total surface area . Now here we need to find the height . We can find height as ,

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$\qquad\boxed{\boxed{\sf Height =\dfrac{ Volume}{Area } }}$

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$\qquad\boxed{\boxed{\sf TSA_{(cuboid)} =2(lb + bh + hl ) }}$

Put on the respective values :-

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3 years ago

Read 2 more answers

Express 0.484848..... in p/q form​

Express 0.484848..... in p/q form