Answer:
No, the two sets are not disjoint.
Step-by-step explanation:
Set of triangular numbers to 50: 1, 3, 6, 10, 15, 21, 28, 36, 45
Set of square numbers to 50: 1, 4, 9, 16, 25, 36, 49
They have 1 and 36 in common, so they are not disjoint, or in other words, they have some of the same numbers.
40
Using the method of prime factors
8 = 2 × 2 × 2 = 2³
2 = 2
5 = 5
Then LCM = 2³ × 5 = 8 × 5 = 40
2(x+1)+3x=37
simplifythe left side:
2x +2 +3x = 37
Combine like terms:
5x +2 = 37
Subtract 2 from both sides:
5x = 35
Divide both sides by 5:
x = 7
you would change it 4 times a year
if there is 12 months in a year and 3 mounths equal 6000 then divide 12/3=4
$190.65
123.00/20=6.15 per hour
6.15x31hours worked = $190.65
