Answer:
$25.50
Step-by-step explanation:
We need to find 30% of 85:
30%*85
Convert 30% to a fraction to make the math easier:
She tipped the waiter $25.50
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:
See below
Step-by-step explanation:
P stands for probability that ( what ever is in the parentheses)
Total Number of Items In Box 1: 3+5= 8
P(picking a plain pencil given you are in box 1)= 3/8
Total Number of Items in Box 2: 9+3= 12
P(picking a color pencil given you are in box 2)= 9/12= 3/4
Answer:
k pi for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis
Step-by-step explanation:
The cosine is a maximum when its argument is at multiples of 2π.
k pi for k = 0, plus-or-minus 2, plus-or-minus 4, ellipsis
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Both of us could probably read this more easily if you would use appropriate math symbols.