Answer:
Great job!
Step-by-step explanation:
Answer:
Option D is the correct answer.
Step-by-step explanation:
Let x be the one way distance and t be the time out.
Time taken for back = t-1
We have plane's average speed out was 300 mph and average speed on the way back was 350 mph.
That is
![\frac{x}{300}=t\texttt{ and }\frac{x}{350}=t-1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B300%7D%3Dt%5Ctexttt%7B%20and%20%7D%5Cfrac%7Bx%7D%7B350%7D%3Dt-1)
Dividing both equations
![\frac{\frac{x}{300}}{\frac{x}{350}}=\frac{t}{t-1}\\\\350t-350=300t\\\\t=7\texttt{ hours}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7Bx%7D%7B300%7D%7D%7B%5Cfrac%7Bx%7D%7B350%7D%7D%3D%5Cfrac%7Bt%7D%7Bt-1%7D%5C%5C%5C%5C350t-350%3D300t%5C%5C%5C%5Ct%3D7%5Ctexttt%7B%20hours%7D)
Time taken for back = t-1 = 7-1 = 6 hours.
Total time taken = 7 + 6 = 13 hours
Option D is the correct answer.
Answer:
A no solution
Step-by-step explanation:
y = 2x + 10
3y - 6x = 30
3(2x+10) -6x =30
6x +30 -6x =30
6x -6x = 30-30
0=0
Answer:
The range of the oven is ![385\leq T\leq 410](https://tex.z-dn.net/?f=385%5Cleq%20T%5Cleq%20410)
Step-by-step explanation:
Consider the provided information.
The internal temperature falls to 20 degrees below the set temperature and turns off when the temperature reaches 5 degrees above the set temperature.
You preheat the oven to 405 degrees before putting a cake in and baking it for an hour at 405.
The internal temperature falls to 20 degrees, therefore the lowest set can be:
405-20=385 degree.
The temperature reaches 5 degrees above the set temperature 405, therefore the upper set is: 405+5=410 degree.
Hence, the temperature will be lying between 385 degree and 410 degree.
This can be written as: ![385\leq T\leq 410](https://tex.z-dn.net/?f=385%5Cleq%20T%5Cleq%20410)
Hence, the range of the oven is ![385\leq T\leq 410](https://tex.z-dn.net/?f=385%5Cleq%20T%5Cleq%20410)