a.
The required equation is 23p + 19.50 = 180.50
Let p represent the number of people who can go to the amusement park.
Since the ticket costs $23 per person, the total amount paid for ticket is rate × number of person = $23 × p = 23p.
Since we pay $19.50 for parking, the total amount spent is T = 23p + 19.50
Since the total amount equals $180.50. T = 180.50
So, 23p + 19.50 = 180.50
The required equation is 23p + 19.50 = 180.50
b.
Solving 23p + 19.50 = 180.50, we have
23p = 180.50 - 19.50
23p = 161
p = 161/23
p = 7
So, the number of people who can go to the amusement park is 7.
Learn more about linear equations here:
brainly.com/question/24307397
The boiling point of xenon is (12.57 x 1000) / 76.15 = 165 K
Answer:
See below ~
Step-by-step explanation:
<u>Table 1</u>
⇒ Side length : Perimeter = <u>1 : 4</u>
⇒ Perimeter : Side length = <u>4 : 1</u>
<u></u>
<u>Table 2</u>
⇒ Radius : Diameter = <u>1 : 2</u>
⇒ Diameter : Radius = <u>2 : 1</u>
<u></u>
<u>Table 3</u>
⇒ Number of people : Number of tables = <u>5 : 1</u>
⇒ Number of tables : Number of people = <u>1 : 5</u>
A) If we assume the service charges are a one-time charge, we can let x represent the number of days of rental and a(x) and b(x) the charges for company A and company B, respectively. We are given the initial value and the rate per day in each case, so we can simply write down the equations:
... a(x) = 15 + 35x
... b(x) = 10 + 42x
B) Company A charges less for any rental lasting 1 day or longer. The total for the 1st day (50 vs 52) is less, and the rate per day is less for company A.
C) The difference in cost is ...
... b(x) - a(x) = (10 +42x) -(15 +35x) = 7x -5
so for 10 days, company A costs 7·10 -5 = 65 dollars less
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