Converse in discrete mathematics is switching the hypothesis and conclusion of a conditional statement.
So the correct answer will be that If a number is not divisible by two, then it is an odd number. Which is option D.
The math converse of a statement switches the if and then, resulting in a statement that may or may not be true so we have no guarantee that the preposition is true or not.
22.7 repeating does not belong with the other three numbers because it is the only repeating decimal in the data set.
If you wanted to paint the entire door (even the top and bottom which people don't usually paint)
the surface area is
SA=2(LW+LH+WH)
where L=length, W=width and H=height
given
L=35.25
W=1.75
H=77
SA=2(35.25*1.75+35.25*77+1.75*77)
SA=2(61.6875+2714.25+134.75)
SA=2(2910.6875)
SA=5821.375
you need enough paint to cover 5821.375 square inches of door
The first given equation is:
4x + 3y = 6
which can be rewritten as:
2(2x) + 3y = 6 .............> equation I
The second given equation is:
2x + 2y = 5
which can be rewritten as:
2x = 5 - 2y ........> equation II
Substitute with equation II in equation I to get the value of y as follows:
2(5-2y) + 3y = 6
10 - 4y + 3y = 6
-y = 6-10 = -4
y = 4
Substitute with the y in equation II to get x as follows:
2x = 5 - 2y
2x = 5 - 2(4)
2x = 5 - 8 = -3
x = -3/2
From the above calculations:
x = -3/2
y = 4