The number of miles covered every evening obtujwd using a <em>system of equation</em> is 15 miles.
<u>Let the number of miles per evening</u> = m
- Number of miles per morning = 8 miles
- Total miles covered = 115 miles
<u>Using the expression below :</u>
<em>Number of days(miles per morning + miles per evening) = 115 miles </em>
5(8 + m) = 115
40 + 5m = 115
5m = 115 - 40
5m = 75
m = 75 / 5
m = 15 miles
Therefore, the Number of miles covered per evening is 15 miles.
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Answer:
10
Step-by-step explanation:
To figure the mean, add up the numbers, 3+3+6+7+9+12+12+19=71 then divide it by the number of data points 71/7=10.1428571, I rounded it to 10.
Answer:
about 17 meters
Step-by-step explanation:
We can use the Pythagorean theorem to put an upper bound on the height of the bump in the rail. This assumes half the expanded rail length (d+e) is the hypotenuse of a right triangle whose legs are the bump height (b) and the 2500 meter distance (d) from the center of the rail to its end.
The Pythagorean theorem relates these distances this way:
b^2 + d^2 = (d+e)^2
Expanding the square on the right, we can simplify the expression to find b.
b^2 = (d^2 +2de +e^2) -d^2
b^2 = e(2d +e)
b = √(e(2d +e))
Using lengths in meters, we can fill this in to calculate b.
b = √(.06(2·2500 +.06)) = √300.0036
b ≈ 17.32 . . . . meters
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<em>Comment on this solution</em>
We don't expect rails to tear loose from the rail bed and rise up to a height matching that of a 3-story building. That is why there are typically expansion joints and shorter rail lengths used in the construction of railways.
The height is a little lower if we take physics into account and distribute the stress in the rail along its length. No doubt the final curve is somewhat more complicated than the triangle we have assumed.
If it were an ellipse, the height might only be 9.4 meters, with the steepest rise occurring near the ends of the rail. The math for this model is beyond the scope of this answer.
The answer is 1,832
If it travels 548 miles per hour, multiply that by 4 more hours and you get 1,832
An<span> = am</span><span> + (n – 1)d.
i feel like this can work</span>
