Answer:
a. a(b)c
b. a(a(b)c)c
d. a(a(a(a)c)c)c
Step-by-step explanation:
We are given the following in the question:
![a,b,c \in W\\\text{If } x \in W \Rightarrow a(x)c \in W](https://tex.z-dn.net/?f=a%2Cb%2Cc%20%5Cin%20W%5C%5C%5Ctext%7BIf%20%7D%20x%20%5Cin%20W%20%5CRightarrow%20a%28x%29c%20%5Cin%20W)
a. a(b)c
It is given b belongs to W.
![b \in W\\\Rightarrow a(b)c \in W](https://tex.z-dn.net/?f=b%20%5Cin%20W%5C%5C%5CRightarrow%20a%28b%29c%20%5Cin%20W)
b. a(a(b)c)c
![a(b)c \in W\\\Rightarrow a(a(b)c)c \in W](https://tex.z-dn.net/?f=a%28b%29c%20%5Cin%20W%5C%5C%5CRightarrow%20a%28a%28b%29c%29c%20%5Cin%20W)
c. a(abc)c
a(abc)c does not belong to W because we cannot find x in W such that a(abc)c belongs to W.
d. a(a(a(a)c)c)c
![a \in W\\\Rightarrow a(a)c \in W\\\Rightarrow a(a(a)c)c \in W\\\Rightarrow a(a(a(a)c)c)c](https://tex.z-dn.net/?f=a%20%5Cin%20W%5C%5C%5CRightarrow%20a%28a%29c%20%5Cin%20W%5C%5C%5CRightarrow%20a%28a%28a%29c%29c%20%5Cin%20W%5C%5C%5CRightarrow%20a%28a%28a%28a%29c%29c%29c)
e. a(aacc)c
a(aacc)c does not belong to W because we cannot find x in W such that a(aacc)c belongs to W.
Answer:
$16.90
Step-by-step explanation:
First you need to find how much the markup is in dollars.
Multiply 13(0.3).
This will give you 3.9.
Then you add this to the original cost of the glasses.
13+3.9= 16.9.
So, the final cost of the glasses is $16.90.
Answer:
Step-by-step explanation:
0.00048*.81=0.0003888
0.0003888*10=0.003888
0.003888*(10)=0.3888
0.3888-7=-6.6112
-6.6112*0.027=-224.8592593
-224.8592593*0.04= -9.794370372
-9.794370372*(10)=-97.94370372
-97.94370372*6= -587.6622223
Answer:
375 gallons in 25 minutes
Step-by-step explanation:
first decide how many gallons in one minute
300/20 = 15 gallons in one minute
next multiply 15 x 25 minutes. You get 375 gallons in 25 minutes