Well to do this, we need to know the least common multiple (LCM) of 6 and 8. Lets list the factors out.
6, 12, 18, 24, 30, 36
8, 16, 24, 32, 40, 48
As we can see, the least common multiple of 6 and 8 is 24.
Now we know that there are 8 plates per package and 8 goes into 24 3 times, so naturally Shaniya needs 3 packages of plates
Hope this helped!!! :)
Answer:
x = 17.5 and y = 35
Step-by-step explanation:
2x + 10 = y + 10 ( alternate angles )
subtract 10 from both sides
2x = y ⇒ 6x = 3y → (1)
the sum of the 3 angles in the triangle = 180°
6x + y + 10 + 30 = 180 ( replace 6x by 3y )
3y + y + 40 = 180
4y + 40 = 180 ( subtract 40 from both sides )
4y = 140 ( divide both sides by 4 )
y = 35
substitute y = 35 into (1)
2x = 35 ( divide both sides by 2 )
x = 17.5
Answer:
Kelly has read more of the book
Answer:
So interval notation is with ( and [ where ( is exclusive and [ is inclusive.
Like (1,2) is between 1 and 2 exclusive. [1,2] is between 1 and 2 inclusive. (1,2] is between 1 and 2, 1 exclusive 2 inclusive.
at the point (6,0) you see that the graph goes from above 0 to below 0 (from positive to negative)
The values are positive when x is less than 6 and negative when x is greater than 6.
so the positive interval is
(-infinity, 6)
and with inifinity you always use exclusive
It's that because everything from all the way to the left (-infinity) to 6, is above the x-axis, which means it's positive
using this logic can you do the negative interval?
