The smaller of two numbers is 7/8 of the larger. their sum is 30. find the two numbers

Hello! 

To start off let's give these anonymous numbers two different variables...

x = smaller number                   y = larger number

It says that the smaller number is 7/8 of the larger one so lets make that an equation

x = (7/8)y

It then says that the sum of the two numbers is equal to 30, lets give that an equation too...

x + y = 30

Now all we have to do is substitute the equation for x into the equation above

x + y = 30                                     --->         x = (7/8)y          
(7/8)y + y = 30                          --               x = (7/8)(16)
[ (7/8)y + y = 30 ] * 8             --                  x = 14
7y + 8y = 240                    --
15y = 240                       --
y = 16                          --

The two numbers are 14 and 16

I hope this helps! :D

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Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )