Answer:
91.125 or 729/8
Step-by-step explanation:
take 4.5^3 to get 91.125
k-3+3<5+3 is the explanation and the answer is k<8
Answer:the price of one child ticket is $8
the price of one adult ticket is $12
Step-by-step explanation:
Let x represent the price of one child ticket.
Let y represent the price of one adult ticket.
First tour is 4 child tickets and 8 adult tickets for 128 dollars. This means that
4x + 8y = 128 - - - - - - - - - - 1
Second tour is 6 adult tickets for 72 dollars. This means that
6y = 72
y = 72/6 = $12
Substituting y = 12 into equation 1, it becomes
4x + 8 × 12= 128
4x + 96 = 128
4x = 128 - 96
4x = 32
x = 32/4 = $8
Answer:

Step-by-step explanation:
From the differential equation given:

The equation above can be re-written as:


Let assume that if function M(x,y) and N(x,y) are continuous and have continuous first-order partial derivatives.
Then;
M(x,y) dx + N (x,y)dy = 0; this is exact in R if and only if:

relating with equation M(x,y)dx + N(x,y) dy = 0
Then;

So;


Let's Integrate
with respect to x
Then;


Now, we will have to differentiate the above equation with respect to y and set
; we have:

Hence, 
Finally; the general solution to the equation is:
