Answer: Hello mate!
The partition of a set is defined as a partition of the set into a nonempty subset, where the set itself is a subset of himself, then the set is a partition of himself.
a) in this we have a set of two objects; A = (1,2) the partitions of this set are: (∅), (1), (2) and (1,2). Where (∅) is the null set.
b) Now we have a set of three objects; B = (a,b,c) the partitions of this set are: (∅), (a), (b), (c), (a,b), (a,c), (b,c), (a,b,c)
The integers are x - 1, x and x + 1
x - 1 + x + x + 1 = 186
3x = 186
x = 186/3 = 62
Therefore, the numbers are 61, 62 and 63
C
work:
75 is equal to 2x+15
75-15 = 60
60/2 = 30
x=30
9514 1404 393
Explanation:
We can find the slope by solving for y.
3x +2y +7 = 5x +3y +10
-2x -3 = y . . . . . . . . . . . . . add -5x-10-2y to both sides of the equation
In this form, the slope (m) is the coefficient of x, -2. Hence m = -2.
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<em>Alternate solution</em>
A graph of the equation shows it has an x-intercept of -1.5 and a y-intercept of -3. The slope (m) is then "rise" divided by "run", or ...
m = rise/run = -3/1.5
m = -2
Ok so
Knowing that 1 metre consists of 100cm,
You can conclude and agree that 8 cm is 8/100, correct?
Now, when converting fractions to decimals, it makes it easier out of 100 or 10. Since it's out of 100 already, you take the amount of zero's in 100 (two) and you move the decimal point (2) places to the <em /><u>left<em /></u>
This gives you 0.08
So the fraction is 8/100, which then can be simplified to 4/50, then to 2/25
and the decimal is 0.08.
