Answer:
Length of the canal on the map is 16.4 centimeters.
Step-by-step explanation:
If actual length of Panama Canal = 20 kilometers
and length of the canal on map = 4 centimeters
Then scale factor = 
= 
= 
If the actual length of Panama Canal = 82 kilometers
Then the length of canal on the map = Actual length × Scale factor
= 
= 16.4 centimeters
Therefore, length of the canal on the map is 16.4 centimeters.
Answer: the fixed cost to rent the limousine is $200
Step-by-step explanation:
Let x represent the fixed cost rent the limousine.
Let y represent the cost of of hiring the driver of the limousine per hour.
It cost $500 to rent a limousine for 5 hours. This means that
x + 5y = 500 - - - - - - - - - - -1
It costs 800 to rent a limousine for 10 hours. This means that
x + 10y = 800 - - - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
- 5y = - 300
y = - 300 /- 5
y = 60
Substituting y = 60 into equation 1, it becomes
x + 5 × 60 = 500
x + 300 = 500
x = 500 - 300
x = 200
40 (1+2y) is an equivalent expression
Castel's average speed from the science museum to mountains is 20 km/h
<h3>A
verage speed</h3>
Let x represent Castel' average speed.
Sumalee left one hour later and caught up with Castel after two hours, Let us assume the distance covered is d:
For Castel:
For Sumalee:
- x + 10 = d / 2
- d = 2x + 20
3x = 2x + 20
x = 20 km/h
Therefore Castel's average speed from the science museum to mountains is 20 km/h
Find out more on average speed at: brainly.com/question/4931057
