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Sergeu [11.5K]
3 years ago
9

How many solutions does 4/5x+2/3+1/5x=x

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0
<h3>The given equation has no solution</h3>

<em><u>Solution:</u></em>

Given that,

\frac{4}{5}x + \frac{2}{3} + \frac{1}{5}x = x

We have to find the solution to given equation

From given,

\frac{4}{5}x + \frac{2}{3} + \frac{1}{5}x = x\\\\\mathrm{Subtract\:}\frac{2}{3}\mathrm{\:from\:both\:sides}\\\\\frac{4}{5}x+\frac{2}{3}+\frac{1}{5}x-\frac{2}{3}=x-\frac{2}{3}\\\\\mathrm{Simplify}\\\\\frac{4}{5}x+\frac{1}{5}x=x-\frac{2}{3}\\

\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\\\\frac{4}{5}x+\frac{1}{5}x-x=x-\frac{2}{3}-x\\\\\mathrm{Simplify}\\\\\frac{4x + x - 5x}{5} = \frac{-2}{3}\\\\\frac{5x -5x}{5} =  \frac{-2}{3}\\\\

0=-\frac{2}{3}

\mathrm{The\:sides\:are\:not\:equal}

Thus the given equation has no solution

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In 2013, the population of China was estimated to be 1,360,760,100. Round off the number of people 
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Answer:

a) 1,360,760,000

b) 1,361,000,000

c) 1,400,000,000

d)  1,360,800,000

Step-by-step explanation:

We have to round off the given population number to certain digits.

The following are the rules to round of a number:

  1. First identify the digit to be rounded.
  2. If this digit is followed by 5,6,7,8,9 then we round up the number that is increase the digit by 1 and all the numbers to right becomes zero.
  3. If this digit is followed by 0,1,2,3,4 then we round down the number that is decrease the digit by 1 and all the numbers to right becomes zero.

a)  to the nearest thousand.

Thousands place: 0

Right Digit: 1

We round down the number

Rounded to the nearest 1,000 or t he thousands Place =  1,360,760,000

b)  to the nearest million

Millions place: 0

Right Digit: 7

We round up the number

Rounded to the nearest million places = 1,361,000,000

c)  to nearest hundred million

Hundred million place: 3

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,400,000,000

d)  to the nearest hundred thousand.

hundred thousand place: 7

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,360,800,000

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