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uranmaximum [27]
3 years ago
6

Evaluate 0.212121... + 0.021021021... − 0.145714571457...

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0

Finding the exact value of each number goes like this:

<em>x</em> = 0.212121...

100<em>x</em> = 21.212121...

==>  100<em>x</em> - <em>x</em> = 21.212121... - 0.212121...

==>  99<em>x</em> = 21

==>  <em>x</em> = 21/99 = 7/33

Similarly:

<em>y</em> = 0.021021021...

1000<em>y</em> = 21.021021021...

==>  999<em>y</em> = 21

==>  <em>y</em> = 21/999 = 7/333

and

<em>z</em> = 0.145714571457...

10000<em>z</em> = 1457.145714571457...

==>  9999<em>z</em> = 1457

==>  <em>z</em> = 1457/9999

Then we end up with

<em>x</em> + <em>y</em> - <em>z</em> = 32345/369963

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3 years ago
Consider the numbers 14.25 and 0.86.
klio [65]

Answer:

Part A

The given numbers are 14.25 and 0.86

By multiplying the two numbers, we have;

14.25 × 0.86 = 12.255

By adding the two numbers, we have;

14.25 + 0.86 = 15.11

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Part B

By dividing the two numbers (Dividing the larger number, 14.25 by the smaller number 0.86), we have 14.25/0.86 ≈ 16.57

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Step-by-step explanation:

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5/7x-4=21<br> solve folve for x
Aleksandr-060686 [28]

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

7*x-4-(21)=0

Solve  :    7x-25 = 0

Add 25 to both sides of the equation :

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Divide both sides of the equation by 7:

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Answer:

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