Answer:
See below
Step-by-step explanation:
a)
<u>Day 1</u>
- 70 min for 10 km
- Rate = 70/10 = 7 min/km
<u>Day 10</u>
- 2h40 min for 20 km
- 2*60+40 = 160 min for 20 km
- Rate = 160/20 = 8 min/km
<u>Day 20</u>
- 4 h 15 min for 30 km
- 4*60 + 15 = 255 min for 30 km
- Rate = 255/30 = 8.5 min / km
b)
<u>From the rate change we see:</u>
- 1 min increase when the distance increases from 10 km to 20 km
- 0.5 min increase when distance increases from 20 km to 30 km
So we see 1 min increase per twice the distance increase
- With the same rate increase we can expect 1 min increase from 20 km to 40 km, which gives us the rate of 9 min/km
- With same logic we get 9.055 km/min rate for 44 km distance
<u>Total time it takes:</u>
- 9.055*44 = 398.42 min = 398.42*1/60 min = 6 h and 38.42 min
Answer: x = 2
Step-by-step explanation:
The rule for reflecting over x = 2 is that y remains the same and you add how many units x = 2 is from the point.
x = 2 is has the coordinate of x = 2 and y = the y coordinate of the point.
A (-1, 1) Since the y coordinate of (-1, 1) is 1, x = 2 - (2, 1)
Add 3 units to 2, the x coordinate since -1, 1 is 3 units from 2, 1
2,1 --> 5, 1
I really didn't know how to explain but Im 100% sure Im right and I hoped this helped somehow.
To start off, you should make each fraction have a common denominator.
2*3 = 6
3*2 = 6
The lowest common denominator is six.
so 3 3/6 + 2 2/6 = 5 5/6
Hopefully that helps!
Answer: B 2x
1/2x-3+3/2x+3
Since the four choices have solution, there is no choice that have no solutions. (Correct choice: E)
<h3>What linear equation has no solution?</h3>
Herein we must check each choice to find if a solution exists or not by <em>algebra</em> properties. Now we proceed to check each case:
Choice A
1/(x - 31) = 5
1 = 5 · (x - 31)
1 = 5 · x - 155
5 · x = 156
x = 31.2
Choice B
12 · x - 11 = 0
12 · x = 11
x = 11/12
Choice C
15 - 3 · x = - 8
3 · x = 23
x = 23/3
Choice D
- x + 91 = 0
x = 91
Since the four choices have solution, there is no choice that have no solutions. (Correct choice: E)
<h3>Remark</h3>
The statement presents typing mistakes and is incomplete. Correct form is shown below:
<em>Which equation has no solution?</em>
<em>A. 1/(x- 31) = 5</em>
<em>B. 12 · x - 11 = 0</em>
<em>C. 15 - 3 · x = - 8</em>
<em>D. - x + 91 = 0</em>
<em>E. Neither of all</em>
To learn more on linear functions: brainly.com/question/21107621
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