Answer:
42 = the number of hats Paula can knit from one yard of yarn
Step-by-step explanation:
The way this problem is written, the constant 42 is the multiplier of yards to get hats. That is, it has units of hats per yard, so represents the number of hats that can be knit from 1 yard of yarn.
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<em>Comment on the problem</em>
It seems more likely that the proportion should be written as ...
y = 42h
or
h = y/42
Then the constant would be the number of yards of yarn required for each hat.
Noreen made 8 and 2/3 cups which after solving becomes 8.666
now the guest ate 3/4 which means 3/4 of 8.66 which is 6.50 which means the guest ate 6 1/2 cups
Answer:
150
Step-by-step explanation:
Each interior angle in a polygon is (n-2)×180 ÷n
(12-2)×180/12

Please, see the offered decision:
1) common equation for lines is y=kx+b. If k₁=k₂ (for line 1 and line 2) ⇒ 'line 1' || 'line 2'.
2) for line 3x+5y=6 k= -3/5. It means (according to item 1) for unknown line k is the same (-3/5).
3) using points (0;3) it is easy to find parameter b (x=0, y=3) via y=kx+b:
3=0*(-3/5)+b ⇔ b=3.
4) finaly (k=-3/5; b=3):
Step-by-step explanation:
2) Slope can be written as rise over run:
- rise: add to the y-value
- run: add to the x-value

3) Slope formula is: 

4) Average rate of change is the slope of the given interval:
a) when x = 0, y = 0 and when x = 1, y = -3

b) when x = -2, y = 0 and when x = -1, y = 3

c) when x = 0, y = 0 and when x = 2, y = 0
