Answer:
(0,6)
(1,5)
(2,4)
(3,3)
(4,2)
Step-by-step explanation:
To solve this table first convert the equation to slope-intercept form (y=mx+b), to do this solve for y in the equation. The slope-intercept form is y=-x+6, where -1 is the slope and 6 is the y-intercept. Then from that, you can get your first point, because you know the y-intercept is 6, therefore when x equals 0 y must be 6. Next, because the slope is -1 that means the y-value decreases by 1 every time the x-value increases by 1. So to find the rest of the y-values simply subtract 1 from the previous y-value.
The length of the entire rope is 64 inches as when it is cut into four pieces one is 16 therefore when multiplying 16 by four you should get the length of the entire rope which is 64.
Answer: 648
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Explanation:
We have this set of digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
From that set, we can only pick three items. We cannot select the same digit twice.
Consider a blank three digit number such that it is composed of slot A, slot B, slot C.
Since the number must be larger than 100, this means that we cannot select 0 as the first digit. We go from a pool of 10 digits to 10-1 = 9 digits for our first selection.
In other words, we have this subset to select from
{1, 2, 3, 4, 5, 6, 7, 8, 9}
So we have 9 choices for slot A.
For slot B, we also have 9 choices since 0 is now included. For instance, if we selected the digit '4' then we have this subset of choices left over: {0, 1, 2, 3, 5, 6, 7, 8, 9} which is exactly 9 items.
For slot C, we have 9-1 = 8 items left to choose from. For example: If we choose '4' for slot A, and '2' for slot B, then we have this subset to choose from: {0, 1, 3, 5, 6, 7, 8, 9} exactly 8 items
In summary so far, we have...
9 choices for slot A
9 choices for slot B
8 choices for slot C
Giving a total of 9*9*8=81*8=648 different three digit numbers. You'll notice that I'm using the counting principle which allows for the multiplication to happen. Think of a probability tree.
Answer:
the answer is c .25
Step-by-step explanation:
hope this helps :)
