Answer: 1/8
Step-by-step explanation:
https://math.stackexchange.com/a/1788346
Answer:
Yes!
Step-by-step explanation:
Let x be the tens place and y be the units place. x and y need to be odd because in other case a or b will not be odd. For example, if x=1 and y=2 a will be 21 but b will be 12 that is not odd.
Now, a+b = xy+yx. Note that xy is not x*y, is just the digits concatenated.Then, there are two cases:
If x+y<10 then xy+yx = (x+y)(x+y) (again, that is not a multiplication is x+y concatenated with x+y) and that is 11*(x+y) a multiple of 11.
If x+y≥10 then xy+yx = (x+y+1)(x+y-10) because x+y<20.
Now we are going to see that last result without the concatenation, as a sum, that is
(x+y+1)*10 + x+y-10 = 10x+10y+10+x+y-10 = 11x+11y = 11(x+y). This result is clearly a multiple of 11.
In conclusion, in all cases the result of a+b is a multiple of 11.
Answer:
3 15/16
Step-by-step explanation:
The ruler has been turned to the inches
So what you are measure is in between 3 and 4 so 3
And between 3 and 4 there are 16 small lines and what you are measuring ends at 15
So the answer is 3 15/16
Step-by-step explanation:
We notice that when x increases by 3, y decreases by 2.
Hence the slope of the line
= Rise of y / Run of x
= (-2) / (3)
= -2/3.
Answer:
66.6667
2 out of 66.6667 is 3%
Step-by-step explanation:
2 out of what is 3%?
2 out of X is 3%
Equation: Y/X = P%
Solving our equation for X
X = Y/P%
X = 2/3%
Converting percent to decimal:
p = 3%/100 = 0.03
X = 2/0.03
X = 66.6667