Given :


Now, Substituing the value of y in equation (ii) :








Now, substituting the value of x in equation (i) :




Answer:
guests.
Step-by-step explanation:
We have been given that there are 7/8 quarts of orange juice. Mrs. Mathewson would like to serve her guests 3/16 quarts orange juice.
To find the number of guests Mrs. Mathewson can serve with 7/8 quarts of juice, we will divide 7/8 by 3/16 as:

Convert to multiplication problem by flipping the 2nd fraction:




Therefore, Mrs. Mathewson can serve orange juice to
guests.
Answer:
Follows are the solution to the given point:
Step-by-step explanation:
In point a:
¬∃y∃xP (x, y)
∀x∀y(>P(x,y))
In point b:
¬∀x∃yP (x, y)
∃x∀y ¬P(x,y)
In point c:
¬∃y(Q(y) ∧ ∀x¬R(x, y))
∀y(> Q(y) V ∀ ¬ (¬R(x,y)))
∀y(¬Q(Y)) V ∃xR(x,y) )
In point d:
¬∃y(∃xR(x, y) ∨ ∀xS(x, y))
∀y(∀x>R(x,y))
∃x>s(x,y))
In point e:
¬∃y(∀x∃zT (x, y, z) ∨ ∃x∀zU (x, y, z))
∀y(∃x ∀z)>T(x,y,z)
∀x ∃z> V (x,y,z))
Answer:
400/ 81
Step-by-step explanation:
16/25 × (5/3)^4
16/25 × (625/ 81)
10000/ 2025
400/81