Answer:

Step-by-step explanation:
According to the Product-to-Power Exponential Rule, whenever you multiply similar bases, you keep the base and add the exponents.
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Part A is 5/8 and Part B is 5/16.
In each bucket, there are 16 tiles.
For bucket A, you are looking for prime numbers. There are 10 of them: 3 5 7 11 13 17 19 23 29 31
That gives us a chance of 10/16 or 5/8.
For bucket B, you are looking for numbers divisible by 6. There are 5 of them: 6 12 18 24 30
That gives us a chance of 5/16.
Answer: 
a=-3
b=-9
Step-by-step explanation:

Answer:
45
Step-by-step explanation:
Given that the number of savory dishes is 9 and the number of sweet dished is 5.
Denoting all the 9 savory dishes by
, and all the sweet dishes by
.
The possible different mix-and-match plates consisting of two savory dishes are as follows:
There are 9 plates with
from sweet plates which are 
There are 9 plates with
from sweet plates which are 
Similarly, there are 9 plated for each
and 
Hence, the total number of the different mix-and-match plates consisting of two savory dishes

Answer:
(12, 3), (-2, -5), (1, 15)
Step-by-step explanation:
The line can pass through any point with a positive x-value and a y-value greater than -1. Those points include ...
(12, 3), (1, 15)
The line can pass through any point with a negative x-value and a y-value less than -1. That point is ...
(-2, -5)
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In the attached, the green lines have positive slope; the red lines do not.