solution:
We are going to use this property: P(A U B) = P(A) + P(B) – P(AB)
First we treat (A U B) as one event as follows:
P( (A U B) U C) = P( A U B ) + P(C) – P((A U B)C)
= P( A U B ) + P(C) – P(AC U BC)
= P(A) + P(B) – P(AB) + P(C) – P(C) – P(AC U BC )
=P(A) + P(B) – P(AB) + P(C) –P(AC) – P(BC) + P(ABC)
= P(A) + P(B) + P(C) – P(AB) – P(AC) – (BC) + P(ABC)
4x + 4° + 4x - 32° = 180°
8x - 28° = 180°
8x = 180° + 28°
8x = 208°
x = 26°
Answer k=16
A recipe says to use 3 cups of flour to make 48 cookies.
the number of cookies made, y, to the number of cups of flour used,x .
Than
y = kx
Where k is the constant of proportionality.
48 = 3k
k = 16
Therefore the constant of proportionality is 16.
Answer: Scarlett sold 40 small cups and 30 large cups
The last part is confusing but how I think it is is you multiply 32 by 2 and subtract 2