The number of visits to public libraries increased from 1.4 billion i.pdf

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Solve the equation for x. x/3 = 3/4 = 3x + 6/12 Solution Given : x/3 - 3/4 = (3x+6) / 12 Taking LCM of L.H.S we get: ( 4x - 9 ) / 12 = (3x+6) / 12 cancel both of terms in denominators, we get: 4x - 9 = 3x+6 4x - 3x = 6 + 9 4x - 3x = 15 x = 15 [ Answer ] Now check the solution, we plug in the value of x in the given equation 15/3 - 3/4 = ( 3*15 + 6 )/ 12 5 - 3/4 = 51/12 (20-3)/4 = 51/12 17/4 = 17/4 Since, L.H.S = R.H.S, Hence our solution x = 15 is correct..

Education

The number of visits to public libraries increased from 1.4 billion in 1995 to 1.5 billion in 2000.
Find the average rate of change in the number of public library visits from 1995 to 2000. The
average rate of change between 1995 and 2000 was billion
Solution
Here' the answer to the problem:
In 5 years( i.e. from 1995 to 2000) the pop. increases from 1.4 to 1.5 billion.
1.5 b - 1.4b / 2000 - 1995 = (.1b/1.4b )/5= .1428 or 14.28%
Hence, average change in pop. 14.25%

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