Answer:
Step-by-step explanation:
<u>Operation of Functions</u>
Given:
The sum of (f+g) (x) is:
We cannot operate with the expression inside the absolute bars, thus:
The base would be 13.6 cm long, if you divide the area by the height you will get the base.
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.
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<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.
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<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:
10 / 9
Step-by-step explanation:
Let's suppose the other fraction is x. We are given 3 / 5 * x = 2 / 3
We can divide by 3 / 5 on both sides, which is the same as multiplying 5 / 3 on both sides:
5 / 3 * 3 / 5 * x = 2 / 3 * 5 / 3
This simplifies to:
x = 10 / 9
