Answer:
There were 169 children at the pool.
Step-by-step explanation:
Given:
Total number of people = 550
Price per child = $1.75
Price per adult = $2.25
Total cost of the admission receipts = $1153.00
Let the number of children be 'x' and number of adults be 'y'.
As per question:
Total number of people is equal to total children and total adults. So,
Total cost of admission is equal to the sum of cost of total children and total adults. So,
Multiplying equation (1) by 1.75 and subtracting the result equation from equation (2). This gives,
So, there were 381 adults at the pool. Now, the number of children is equal to:
Therefore, there were 169 children at the pool.
Answer: (a) e ^ -3x (b)e^-3x
Step-by-step explanation:
I suggest the equation is:
d/dx[integral (e^-3t) dt
First we integrate e^-3tdt
Integral(e ^ -3t dt) as shown in attachment and then we differentiate the result as shown in the attachment.
(b) to differentiate the integral let x = t, and substitute into the expression.
Therefore dx = dt
Hence, d/dx[integral (e ^-3x dx)] = e^-3x
