How fast the distance between them decrease is 16mph
<h3>How to calculate the speed of an object?</h3>
Given the following parameters
Speed of the hiker = 6mph
If is it 3/11 the rate of a cyclist, then the rate of the cyclist will be:
6 = 3x/11
3x = 66
x = 22mph
Distance between them = 22 - 6
Distance between them = 16mph
Hence how fast the distance between them decreases is 16mph
Learn more on speed here: brainly.com/question/4931057
Here, the distance traveled is not given, but Irina's bike-riding speed is: it is 16 mph.
Let the distance traveled be d. Then d = (27 mph)(0.4 hr) = 10.8 miles.
By bicycle, distance = rate times time. Here, 10.8 miles = (16 mph)(time), and so
10.8 mi
time = --------------- = 0.675 hour (40.5 minutes).
16 mph

Multiply -7 to both sides:
Add 10 to both sides:
Divide 2 to both sides:
3*(18-13)
3* 5
15
The answer is 15
Answer:
1)
2) 12 inches tall.
Step-by-step explanation:
1) The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.
In this case:
(The height of the candle in inches)
(The time in hours)
Then, we can rewrite it:
Based on the information provided in the exercise, the line passes through these points:
and 
Then, we can find the slope of the line with the formula
:

Now we need to substitute the slope and one of the points into
and then solve for "b":

Substituting values, we get that the a linear equation that models the relationship between the heigth of the candle and the time, is:
2) We must substitute
into the linear equation
in order to find the height of the candle after burning 8 hours: