Multiples : these are what we get after multiplying a number by an integer (not a decimal or fraction) Example : 6 * 1 = 6......6 * 2 = 12.....6 * 3 = 18......so 6,12, and 18 are multiples of 6.
factors : these are what we multiply by to get a number Example : 1 * 6 = 6.....so 1 and 6 are factors of 6....2 * 3 = 6 ...so 2 and 3 are also factors of 6 ============================== problem 1 : Look at ur clues...each number is less then or equal to 12....this right here eliminates D because of the 15. The greatest common factor of the 2 numbers is 2....and this eliminates B because if it has a factor of 2, it has to be an even number. So that leaves us with : A. 6 and 10 C. 10 and 12 last clue....they have a least common multiple of 60...this means that ur 2 numbers cant have any other common multiples until 60. 6 * 10......both are multiples of 60...however, they are also both multiples of 30...so 60 is not the least common multiple of 6 and 10, it is 30. Therefore, ur answer is C. 10 and 12....with the LCM of 60, LCF of 2 and < or = to 12 =================== problem 2 : GCF (greatest common factor) of 42 and 84
factors of 42 : 1,2,3,6,7,14,21,42 factors of 84 : 1,2,3,4,6,7,12,14,21,28,42,84
Let x be the hourly rate. Since he works 20 hours that week, the hourly wages are given by 20x. We add to that his commission, which is 16% of the $1500 in sales, or 0.16(1500). This totals to 515:
20x + 0.16(1500) = 515 20x + 240 = 515
Subtract 240 from both sides: 20x + 240 - 240 = 515 - 240 20x = 275
Divide both sides by 20: 20x/20 = 275/20 x = 13.75.
