Joe: 8 songs in 10 minutes = 8/10 = 0.8 songs per minute
Jasmine: 12 songs in 15 minutes = 12/15 = 0.8 songs per minute
they are downloading at the same speed
The slope is the change in y over the change in x.
The first number in the parentheses is the x value, the second number is the y value.
Slope = (0-3) / (4-0)
Slope = -3/4
The y intercept is the y value when x is 0.
The given point (0,3) has x as 0, so the y intercept would be 3
Answers: slope = -3/4, y intercept = 3
5 kilometers = 5000 decimeters if that answers your question sorry ...
4m - 7n = 10
2m + 2n = 4 - multiply everything by -1.
4m - 7n = 10
-2m - 2n = -4 Add the 2 equations
(4m - 7n = 10)
+(-2m - 2n = -4)
-------------------------
2m - 9 n = 6.
The value of 2m - 9n would be 6.
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.
