Charter Bus:
1.
350 ( distance) / 50 ( rate) = 7 (time in hours).
Conclusion - Will take the charter bus 7 hours to drive from Norfolk to New York.
2.
12 - 6 = 6 A.M ( counting for time left in this half of the day)
7 - 6 = 1 hour left ( which will be then 1 P.M )
Conclusion- Will arrive in New York City at 1 P.M.
Personal Vehicle:
3.
1 hour : 70 miles, 2 hours : 140 miles, 3 hours : 210 miles, 4 hours : 280 miles, 5 hours : 350 miles.
Conclusion: It will take 5 hours to get to New York City from Norfolk.
4.
12 A.M - 7:30 A.M = 4:30 A.M
5 - 4.5 = 0.5 hours left ( which will be then 12:30 P.M )
Conclusion- Will arrive in New York City at 12:30 P.M.
Meet Up:
5. By looking at the rates/ratios of both vehicles and finding out the time it would take with both vehciles also I figured out that Dakota's parents will arrive first.
I didn't include a graph, I thought that you could do that with the rates of both vehicles.
Answer to the miscellaneous equation, is x=0
Miscellaneous equation are the equations which are not polynomial.
The question can be solved by:
Factorising:Splitting the terms to find the required solution
Completing the squares, etc
2ˣ -3ˣ=√(6ˣ-9ˣ)
-> (2ˣ -3ˣ)²=(3ˣ.2ˣ - 3²ˣ)
Squaring both sides,
-> 2²ˣ+3²ˣ- 2.3ˣ.2ˣ=(3ˣ.2ˣ - 3²ˣ)
-> 2²ˣ+2.3²ˣ-2.3ˣ.2ˣ-3ˣ.2ˣ=0
Factorising the terms,
-> 2ˣ(2ˣ-3ˣ) -2.3ˣ(2ˣ-3ˣ)=0
-> (2ˣ-3ˣ)(2ˣ-2.3ˣ)=0
Equating the braces to zero,
x=0 is the only solution.
Therefore, x =0 is the only solution
Learn more about miscellaneous equation: brainly.com/question/1214333
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Answer:
△ is 24. I found this out by dividing 96 by 4, since the number of blue paperclips is 4 times the amount of yellow paperclips. A multiplication equation that can be used is 4x=96. X is the number of yellow paperclips. Hope this helped!
Step-by-step explanation:
Answer: 12 in. by 10 in.
Step-by-step explanation:
Given: The dimensions of photo is 10 in. by 8 in.
Therefore, Area of photo= 
Area of frame with photo=120 square inches
Let x be the width of the frame, then we have
Length of frame with photo= 10+2x inches
Width of frame with photo =8+2x inches
Now, 
![80+16x+20x+4x^2=120\\\Rightarrow\ 4x^2+36x-40=0\\\Rightarrowx^2+9x-10=0\\\(x-1)(x+10)=0\\\Rightarrow\ x=1,...........[text{Since length can not be negative so it cannot be -10}]](https://tex.z-dn.net/?f=80%2B16x%2B20x%2B4x%5E2%3D120%5C%5C%5CRightarrow%5C%204x%5E2%2B36x-40%3D0%5C%5C%5CRightarrowx%5E2%2B9x-10%3D0%5C%5C%5C%28x-1%29%28x%2B10%29%3D0%5C%5C%5CRightarrow%5C%20x%3D1%2C...........%5Btext%7BSince%20length%20can%20not%20be%20negative%20so%20it%20cannot%20be%20-10%7D%5D)
Thus, dimension of frame = 
