Jeff gave 1/4 of a sum of money to his wife. then he divided the remainder equally among his 4 children.
a) what fraction of the sum of money did each child receive
b)if each child received $600, find the sum of money

A) The fraction of sum of money did each child receive is

B) The sum of money did Jeff have $ 3200

Step-by-step explanation:

Given as :

Let The sum of money did Jeff have = $ x

The fraction of money did Jeff's wife get = of $ x

The remaining money Jeff will have = $ x - of $ x

I.e The remaining money Jeff will have =

                                                                =

A ) The remaining amount of money is divided equally among 4 children

So, The fraction of sum of money did each child receive =

I.e The fraction of sum of money did each child receive =  

B ) If each child will receive $ 600

∴,   = $ 600

Or, 3 x = $ 600 × 16

Or, 3 x = $ 9600

∴    x =

I.e  x = $ 3200

So, The sum of money did Jeff have $ 3200  

Hence ,

A) The fraction of sum of money did each child receive is

B) The sum of money did Jeff have $ 3200   Answer

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation:

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours