Answer:
Two sets are called disjoint if they have no elements in common. For example:
The sets S = { 2, 4, 6, 8 } and T = { 1, 3, 5, 7 } are disjoint.
Another way to define disjoint sets is to say that their intersection is the empty set,
Two sets A and B are disjoint if A ∩ B = 0.
In the example above,
S ∩ T = ∅ because no number lies in both sets.
Step-by-step explanation:
Any odd number can be expressed by 2n+1.
For example,
2n+1=111
2n=110
n=110/2=55
means that 111 is 2n+1 for n=55
Thus if an odd number is 2a+1, the next few numbers are as follows:
2a+1, 2a+2, 2a+3, 2a+4, 2a+5
So 2a+1, 2a+3 and 2a+5 are 3 consecutive odd numbers.
Back to our problem:
three consecutive odd numbers whose sum is 63 are:
(2n+1)+(2n+3)+(2n+5)=63
6n+9=63
6n=63-9=54
n=54/6=9
2n+1=2*9+1=18+1=19, the 2 next odd numbers are 21 and 23
Answer: 19, 21, 23
Answer:
53
Step-by-step explanation:
72 = x + 3x - 4
72 = 4x - 4
72 + 4 = 4x - 4 + 4
76 = 4x
76/4 = 4x/4
x = 19
3(19) - 4 = 53
Hope this helps!
Answer: 998400 square inches or 6933 1/3 square feet or
770.37 square yards.
Step-by-step explanation:
Multiply 1280×780 for square inches. Divide that amount by 144 to get square feet. Then divide that by 9 to get square yards.
Answer:
125
Step-by-step explanation: