Two numbers are in the ratio 3:4 when 4 is added to each term , their ratio becomes 10:13. find their numbers

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I think this belongs in the math section but anyways

x/y = 3/4

x+4/y+4 = 10/13

x = 3/4y

x+4 = 10/13(y+4)

x = 10/13(y+4) - 4

3/4 y = 10/13(y+4) - 4

3/4 y - 10/13y - 12/13

-1/52 y = -12/13

1/52 y = 12/13

y = 48

x = 36

36+4 = 40

48+4 = 52

40:52 = 10:13

The original numbers were 36 and 48

Hope this helps!

soviet influence spread across eastern europe sharply during and after wwii. the soviet armies liberated the countries in eastern europe and occupied them from the germans as they were forced to retreat towards germany.

the correct answer is:   "   3.6 % " .

          →   the unemployment rate is:   " 3.6 % " .

explanation:

to calculate the "unemployment rate" :

the "unemployment rate"   =

  [# of people unemployed] /   [working age population]   * 100 %   ;

                =   [9 million] / [250 million]     *   100 % ;

    →     note:   the units of "million" cancel out;

                    since:   " {million} / {million} = 1 " ;

                =   (9 / 250)   * 100 %   ;

                = 0.036 * 100 % ;

                =   3.6 %

answer:   the unemployment rate is:   " 3.6 % " .