Step-by-step explanation:
In Kate's equation, 20 is the total number of tickets, 4 is number of tickets per ride, r is number of rides already ridden, and 4r is the number of tickets used
in Brian's equation, 5 is total number of rides Katie can ride and 5 - r is the number of rides left to ride
Answer:
$0.11
Step-by-step explanation:
As a mixed number 3 29/100 or as an improper fraction 329/100
Let

be an arbitrary closed region with boundary the surface

. By the divergence theorem,

We have

so that the flux satisfies

We're assuming

is a closed region, and the integral above is its volume, which must be positive. This means we must have

.
We have the following expression:
(27a ^ 3-1) / (9a ^ 2-6a + 1)
Rewriting we have:
(27a ^ 3-1) / (9a ^ 2-6a + 1)
(27a ^ 3-1) / ((3a-1) * (3a-1))
We exclude the values that make the denominator zero:
3a-1 = 0
a = 1/3
Answer:
a valid exclusion for the algebraic fraction is:
c. a ≠ 1/3