What is the largest integer that will divide all the terms of 18x^2 and 12x^3

This is the GCF of 18 and 12. We can factor each into prime factors like so

18 = 2*3*3

12 = 2*2*3

In each factorization, we see exactly one copy of '2' and one copy of '3'. These values are in both factorizations at the same time. So that is why the GCF is 2*3 = 6. It is the largest whole number that goes into both 18 and 12.

Note: we ignore the second copy of '3' because 12 does not have two copies of '3'. A similar story happens with that second copy of '2'. GCF stands for "greatest common factor".

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