The average rate, in miles per hour, of the rail portion of the trip is; D: 75
<h3>How to calculate the average speed?</h3>
Since exactly 1/3 of the distance travelled was by rail, then we can say that;
(1/3) * (90) = 30 miles
We are told that part of the trip took 1/5 of the travel time. Thus;
Time it takes to travel that distance is:
(1/5) * (2) = 2/5 of an hour
Average rate is;
30/(2/5) = 150/2 = 75 mph
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Answer:
Linear relationship always produces a straight line and are without exponential.
Lets check all the given options:
1. the total area, in square meters, y, of a square garden if the side length is x meters.
The area of a square is
Here, side is 'x' and area 'y' will be .
This is not linear.
2. the height, y, of a 6-foot tree that grows 0.2 feet per month for x months
The equation forms:
When x = 1
When x = 2
=>
When x = 3
=>
This is a linear relation.
3. the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days
The equation forms:
When x = 1
When x = 2
=>
When x = 3
=>
This is also linear.
4. the total miles, y, traveled by a car going 62 miles per hour in x hours
The equation forms:
When x = 1
When x = 2
=>
When y = 3
=>
This is also linear in nature.
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Answer:
Height of the square pyramid is 6.569 centimeter
Step-by-step explanation:
The volume of the square pyramid is 94.5 cubic centimeters
The height of the square pyramid will be equal to the lengths of the sides of the square.
The volume of the square pyramid is given by

or
centimeter
Height of the square pyramid is 6.569 centimeter
Answer:
1,36 2,18 3,12 4,9 and 6,6
Step-by-step explanation:
If you multiply them, they equal 36
<em>First, find the greatest common factor (GCF) of the numerator and denominator.</em>
<u>Factors of 18</u>: 1, 2, 3, 6, 9, 18
<u>Factors of 24</u>: 1, 2, 3, 4, 6, 8, 12, 24
<u>Common Factors</u>: 1, 2, 3, 6
<u>GCF</u>: 6
<em>Now, divide the numerator by 6 and the denominator by 6.</em>
18 ÷ 6 = 3
24 ÷ 6 = 4
<em>Set these as your new numerator and denominator.</em>
The answer is (b).