Answer:
18
Step-by-step explanation:
9 x 2 = 18
radius x 2 = diameter
Because the X value 5 repeats
The value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.
<h3>What is the rate of speed?</h3>
The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,
r=d/t
Here, (d) is the distance travelled by the object and (t) is time taken but the object to cover that distance.
The train traveled 1/3 of the distance at 30 mph and the remaining distance at 40 mph. Let <em>t</em> is the time the train has taken to travel and x is the distance it travelled. Thus,
![t=\dfrac{\dfrac{1}{3}x}{30}+\dfrac{\dfrac{2}{3}x}{40}\\t=\dfrac{x}{90}+\dfrac{x}{60}\\t=\dfrac{2x+3x}{180}\\t=\dfrac{5x}{180}\\t=\dfrac{x}{36}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B%5Cdfrac%7B1%7D%7B3%7Dx%7D%7B30%7D%2B%5Cdfrac%7B%5Cdfrac%7B2%7D%7B3%7Dx%7D%7B40%7D%5C%5Ct%3D%5Cdfrac%7Bx%7D%7B90%7D%2B%5Cdfrac%7Bx%7D%7B60%7D%5C%5Ct%3D%5Cdfrac%7B2x%2B3x%7D%7B180%7D%5C%5Ct%3D%5Cdfrac%7B5x%7D%7B180%7D%5C%5Ct%3D%5Cdfrac%7Bx%7D%7B36%7D)
After two hour a car left the same station traveled the first 3 hours at 35 mph and the remaining distance at 51 mph. Let <em>t</em> is the time the car has taken to travel and x is the distance it travelled. Thus,
![t+2=3+\dfrac{(x-3\times35)}{51}](https://tex.z-dn.net/?f=t%2B2%3D3%2B%5Cdfrac%7B%28x-3%5Ctimes35%29%7D%7B51%7D)
As t is same, thus put the value of t in this equation,
![\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=3-2+\dfrac{(x-3\times35)}{51}\\\dfrac{x}{36}=1+\dfrac{(x-105)}{51}\\\dfrac{x}{36}=\dfrac{(51+x-105)}{51}\\51x=36x-54\times36\\51x-36x=1944\\x=\dfrac{1944}{15}\\x=129.6](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B36%7D%3D3-2%2B%5Cdfrac%7B%28x-3%5Ctimes35%29%7D%7B51%7D%5C%5C%5Cdfrac%7Bx%7D%7B36%7D%3D3-2%2B%5Cdfrac%7B%28x-3%5Ctimes35%29%7D%7B51%7D%5C%5C%5Cdfrac%7Bx%7D%7B36%7D%3D1%2B%5Cdfrac%7B%28x-105%29%7D%7B51%7D%5C%5C%5Cdfrac%7Bx%7D%7B36%7D%3D%5Cdfrac%7B%2851%2Bx-105%29%7D%7B51%7D%5C%5C51x%3D36x-54%5Ctimes36%5C%5C51x-36x%3D1944%5C%5Cx%3D%5Cdfrac%7B1944%7D%7B15%7D%5C%5Cx%3D129.6)
Thus, the value of distance between the station and the city in terms of miles which train and car travelled at interval of 2 hours is 129.6 miles.
Learn more about the rate of speed here:
brainly.com/question/359790
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Answer:
the x intercept is -4
Step-by-step explanation:
to find the x intercept, set y = 0 and solve for x
y = 5x+20
0 = 5x+20
subtract 20 from each side
-20 = 5x +20 -20
-20 = 5x
divide each side by 5
-20/5 = 5x/5
-4 =x
Total area = 4 × 8.5 × 11 = 374 in²
374 in² = 374/144 = 2.597 ft²