The school that Jack goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 9 seni
1 answer:
Answer:
Price of a senior citizen ticket is $4 and price of a student ticket is $15 .
Step-by-step explanation:
Let us assume that the price a senior citizen ticket be x .
Let us assume that the price a student citizen ticket be y .
As given
The school that Jack goes to is selling tickets to a choral performance.
On the first day of ticket sales the school sold 9 senior citizen tickets and 8 student tickets for a total of $156.
Equtaions becomes
9x + 8y = 156
As given
The school took in $163 on the second day by selling 7 senior citizen tickets and 9 student tickets.
Equations becomes
7x + 9y = 163
Multipy 9x + 8y = 156 by 9 .
81x + 72y = 1404
Multiply 7x + 9y = 163 by 8 .
56x + 72y = 1304
Subtracted 56x + 72y = 1304 from 81x + 72y = 1404 .
81x - 56x + 72y - 72y = 1404 - 1304
25x = 100
x = $ 4
Putting value of x in the 56x + 72y = 1304 .
56 × 4 + 72y = 1304
224 + 72y = 1304
72y = 1304 - 224
72y = 1080
y = $15
Therefore the price of a senior citizen ticket is $4 and price of a student ticket is $15 .
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Answer:
Step-by-step explanation:
You have the following differential equation:
This equation can be written as:
where
If the differential equation is exact, it is necessary the following:
Then, you evaluate the partial derivatives:
The partial derivatives are equal, then, the differential equation is exact.
In order to obtain the solution of the equation you first integrate M or N:
(1)
Next, you derive the last equation respect to t:
however, the last derivative must be equal to M. From there you can calculate g(t):
Hence, by replacing g(t) in the expression (1) for F(t,y) you obtain:
where C is the constant of integration