Called ultimate addition, u(x) is defined to be the sum of all digit of an integer until the result is single digit integer. if m is a two-digit integer, how many possibility of m such that u(m) = u(50654)? a. 2 b. 5 c. 8 d. 10 e. 12

Work Shown:

u(50654) = 5+0+6+5+4 = 20

u(20) = 2+0 = 2

u(50654) = 2

We want to find all possible values of m such that u(m) = 2 and also m is some two-digit integer.

Possible values of m are: m = 11, m = 20

u(m) = u(11) = 1+1 = 2

u(m) = u(20) = 2+0 = 2

and that's it. There are no other ways to have two positive integers add up to 2.

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

i hope this is what you were looking for.

see attached graph