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.
A is the answer because the square root of 0.036 is irrational.
Answer:
600 centimeters. 1 meter is equal to 100 centimeters
Answer:
I think its 3752 but i might be wrong not sure
Step-by-step explanation:
or its 15008
Answer: There are 33 dimes and 17 quarters in my pocket.
Step-by-step explanation:
Step 1: To assign and label the variables.
Suppose,
The number of dimes= x
The number of quarters= y
Step 2: To write the system of equations.
Equation related to the total coins:
x + y = 50 equation 1
Equation related to the total value of the coins:
0.10x + 0.25y = 9.95 equation 2
Step 3: To solve the system of equations.
Multiply equation 1 by 0.10 and then subtract it from equation 2 to eliminate the variable, x.
0.10x + 0.25y – (0.10x + 0.10y)= 9.95 – 5
0.15y = 4.95
y= 33
So, x=50 - 33= 17
Step 4: Therefore, there are 33 dimes and 17 quarters in my pocket.