Due to length restrictions, we kindly invite to see the explanation below to know the answer with respect to each component of the question concerning linear equations.
<h3>How to determine a linear equation describing the daily distance of a runner</h3>
In this question we need to derive an expression of the <em>daily</em> distance as a function of time. Now we proceed to complete the components:
- <em>Linear</em> equations have an <em>independent</em> variable (t - time) and a dependent variable (x - daily distance).
- We notice that the daily distance increases linearly in time, then then we have the following pattern:
t 1 2 3 4 5 6
x 2 2.5 3 3.5 4 4.5 - The equation that represents the n-th term of the sequence is x(n) = 2 + 0.5 · (n - 1).
- The week when Susie will run 10 miles per day is:
10 = 2 + 0.5 · (n - 1)
8 = 0.5 · (n - 1)
n - 1 = 16
n = 17
Susie will run 10 miles per day in the 17th week. - It is not reasonable to think that pattern will continue indefinitely as it is witnessed in the difficulties experimented by <em>fastest</em> runners in the world to increase their <em>peak</em> speeds.
- A marathon has a distance of 26 miles, then we must solve the following equation:
26 = 2 + 0.5 · (n - 1)
24 = 0.5 · (n - 1)
48 = n - 1
n = 49
Susie should start her training 49 weeks before the marathon.
To learn more on linear equation: brainly.com/question/11897796
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Answer:
a) 1/36in.
b) 1/54in
Step-by-step explanation:
a) convert feet to inches:
L = 18ft = 216in
if length in image is 6in then 216in/6in. 36in is Scale.
width of original room = 108in.
check: 216*1/36 = 6
b) L = 18ft = 216in
216in/4in = 54in.
check: 216*1/54 = 4
Answer:
None?
Step-by-step explanation:
Idk what the 6^3 x 2^6/2^3 means but 2^6 x 3^8 = 419904 and none of the other choices match this sorry.
Answer:
about 9cm
Step-by-step explanation:
Muliply the radius by itself: 16x16
Mulitply the answer by 3.14.
Divide 7252 by the answer to get 9
