Answer:
$8.00
Step-by-step explanation:
The problem statement gives two relations between the prices of two kinds of tickets. These can be used to write a system of equations for the ticket prices.
__
<h3>setup</h3>
Let 'a' and 'c' represent the prices of adult and children's tickets, respectively. The given relations can be expressed as ...
a - c = 1.50 . . . . . . . adult tickets are $1.50 more
175a +325c = 3512.5 . . . . . total revenue from ticket sales.
__
<h3>solution</h3>
We are only interested in the price of an adult ticket, so we can eliminate c to give one equation we can solve for 'a'. Using the first equation, an expression for c is ...
c = a -1.50
Substituting that into the second equation, we have ...
175a +325(a -1.50) = 3512.50
500a -487.50 = 3512.50 . . . . . . simplify
500a = 4000 . . . . . . add 487.50
a = 8 . . . . . . . . . divide by 500
An adult ticket costs $8.
Answer:
55
Step-by-step explanation:
a squared plus b squared = c squared
48 squared= 2304
73 squared= 5329
5329 - 2304= 3025
the square root of 3025 is 55 :))
Answer: half year
Step-by-step explanation:
The formula to find the simple interest is given by :-
, , where P is the principal amount , r is the rate of interest and t is the time in year.
Given : I=420 ; r=14%=0.14 and P =$6000
Then, we have the following equation :-
It means the duration of the loan is half year .
Answer:
All real numbers between 0 and 6
Step-by-step explanation:
We know, the function represents 'the amount of water in the pool until it is full'.
That is, 'It is a function of time giving the value of amount of water in the pool until it is full'.
So, we get that,
The domain is representing the time in which the pool is filled completely.
As, we are given that,
Maximum time taken to completely fill the pool = 6 hours.
So, the domain of the functions is 'All real numbers between 0 and 6'.
