A roller coaster can take 162 passengers around the track in nine minutes. The roller coaster operates at a constant rate.
1 answer:
Answer:
<u>18</u> passengers the roller coaster can take around the track per minute.
Step-by-step explanation:
Given:
A roller coaster can take 162 passengers around the track in nine minutes. The roller coaster operates at a constant rate.
Now, to find the number of passengers roller coaster take around the track per minute.
As given in 9 minutes the roller coaster track 162 passengers.
So, we solve by using unitary method:
In 9 minutes the roller coaster take passengers = 162.
Thus, in 1 minute it can take
Therefore, 18 passengers the roller coaster can take around the track per minute.
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This question is not complete. This is because it lacks the appropriate diagram containing necessary information to solve this question.
Please find attached the appropriate diagram to solve for this question
Complete Question :
The surface area of a given cone is 1,885.7143 square inches. What is the slant height?
Answer:
25 inches
Step-by-step explanation:
In the diagram, we are given the following information
Height of the cone = 20 inches
Radius of the cone = 15 inches.
The formula for the slant height of a cone represented by l =
l² = r² + h²
l = √(r² + h²)
l = √(15² + 20²)
l = √(225 + 400)
l = √625
l = 25 inches
Therefore, the slant height of this cone = 25 inches
The rational number that lies exactly halfway between a/b and c/d on a number line is x = (ad + bc)/2bd or 1/2(a/b + c/d).
<h3>How to calculate the mid-value?</h3>To calculate the mid-value of two numbers x and y, find the average of these two numbers. I.e., (x + y)/2
Thus, the average of these two numbers is the mid-value between them.
<h3>Calculation:</h3>It is given that,
a/b and c/d are the two rational numbers on a number line.
Consider the required rational number that lies exactly halfway between a/b and c/d as 'x'.
Then, the mid-value of these two rational numbers is
(a/b + c/d)/2
⇒ (ad + bc)/2bd ...(i)
To know that the obtained rational number is exactly halfway between a/b and c/d, consider the distance from a/b to x and c/d to x.
So, the distance from a/b to x is - "x - a/b" (x > a/b) and
the distance from x to c/d is - "c/d - x"
From the given condition, the above-obtained distances are equal
⇒ x - a/b = c/d - x
⇒ x + x = a/b + c/d
⇒ 2x = (ad + bc)/bd
⇒ x = (ad + bc)/2bd ...(ii)
From (i) and (ii), it is concluded that the required rational number is
x = (ad + bc)/2bd
Learn more about finding mid-value between two rational numbers here:
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Disclaimer: The given question on the portal was incomplete. Here is the complete question.
Question: CHALLENGE: Let a/b and c/d be two distinct rational numbers. Find the rational number that lies exactly halfway between a/b and c/d on a number line.
