If we divide 12.6/4.5 by 3 we receive 4.2/1.5. So yes they are proportional. <span />
Answer:
The correct option is E) 30,000.
Step-by-step explanation:
Consider the provided information.
Let D is the distance between point A and point B.
Let she drive x percent of distance at 60 miles per hour.
That means time taken is: ![\dfrac{\frac{x}{100}\times D}{60}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cfrac%7Bx%7D%7B100%7D%5Ctimes%20D%7D%7B60%7D)
Let she drive remaining distance at 50 miles per hour.
That means time taken is: ![\dfrac{\frac{1-x}{100}\times D}{50}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cfrac%7B1-x%7D%7B100%7D%5Ctimes%20D%7D%7B50%7D)
Average speed = ![\frac{\text{Total distance}}{\text{Elapsed Time}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BTotal%20distance%7D%7D%7B%5Ctext%7BElapsed%20Time%7D%7D)
![\frac{D}{\dfrac{\frac{x}{100}\times D}{60}+\dfrac{\frac{100-x}{100}\times D}{50}}=\dfrac{1}{\dfrac{x}{6000}+\dfrac{100-x}{5000}}\\\\\\=\dfrac{1}{\dfrac{5x+6(100-x)}{ 30,000}}\\\\\\=\dfrac{30000}{5x+6(100-x)}](https://tex.z-dn.net/?f=%5Cfrac%7BD%7D%7B%5Cdfrac%7B%5Cfrac%7Bx%7D%7B100%7D%5Ctimes%20D%7D%7B60%7D%2B%5Cdfrac%7B%5Cfrac%7B100-x%7D%7B100%7D%5Ctimes%20D%7D%7B50%7D%7D%3D%5Cdfrac%7B1%7D%7B%5Cdfrac%7Bx%7D%7B6000%7D%2B%5Cdfrac%7B100-x%7D%7B5000%7D%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B%5Cdfrac%7B5x%2B6%28100-x%29%7D%7B%2030%2C000%7D%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B30000%7D%7B5x%2B6%28100-x%29%7D)
![=\dfrac{30000}{600-x}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B30000%7D%7B600-x%7D)
Hence, the correct option is E) 30,000.
Answer:
Dilation
Step-by-step explanation:
Dilation becuase the side lengths expand and produce non rigid motion and dilation is the only non rigid transformation.
Answer:
(-2.5, 0.5)
Step-by-step explanation:
(-4) + (-1) / 2 = -2.5
5 + (-4) / 2 = 0.5
Answer:
the slope is 1/2
Step-by-step explanation: