Answer:
<em>(A) $18</em>
<em>(B) 
</em>
<em>(C) Coefficient of x-term represents the cost for each ride ticket and constant term represents the cost of admission to the fair.</em>
Step-by-step explanation:
(A)
The county fair charges $2.50 per ticket for the rides and Henry bought 15 tickets for the rides.
So, the total cost of the 15 tickets will be: 
He spent total $55.50 on ride tickets and fair admission.
So, the cost of admission to the fair will be: 
(B)
If 
represents the number of ride tickets and 
represents the total cost, then the cost for number of ride tickets is 
So, the linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission will be: 
(C)
In the above linear equation, <u>coefficient of x-term is 2.50, which represents the cost for each ride ticket</u>.
And the <u>constant term is 18, which represents the cost of admission to the fair</u>.
60/96 = 0.625 , times that by 100 gives you the percentage of 62.5%
First, we determine the speed of the ferry by dividing the distance by the time it took to cover that certain distance.
speed = (1/6) / (3/7)
speed = 7/18
Then, the distance it will travel for an hour is calculated through the procedure below.
distance = (7/18hour) x (1 hour)
distance = 7/18
Therefore, after an hour, the ferry will be able to travel 7/18 of the distance between two ports.
Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk
