One hundred thirty five 13%
Answer:
3/4
Step-by-step explanation:
.74(75%) is equal to 75/100
The greatest common factor is 25, so divide 75 by 25 and 100 by 25.
75/25=3 100/25=4
So, 75/100 simplified is 3/4.
Answer:
The answer is 20
Step-by-step explanation:
In ratio what you do one side you do on the other side 5:4=25:20
5×5=25
4×5=20
Answer:
The speed of the private airplane is 770 mph, the speed of the commercial airplane is 980 mph.
Step-by-step explanation:
Let x mph be the speed of private airplane. If the speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane, then the speed of commercial airplane is (x+210) mph.
It takes the commercial jet 1.1 hours for the flight, then it covered the distance of
![1.1(x+210)\ miles](https://tex.z-dn.net/?f=1.1%28x%2B210%29%5C%20miles)
It takes the private airplane 1.8 hours for the flight, then it covered the distance of
![1.8x\ miles.](https://tex.z-dn.net/?f=1.8x%5C%20miles.)
The distances are the same, so
![1.1(x+210)=1.8x\\ \\1.1x+231=1.8x\\ \\1.8x-1.1x=231\\ \\0.7x=231\\ \\7x=2,310\\ \\x=770](https://tex.z-dn.net/?f=1.1%28x%2B210%29%3D1.8x%5C%5C%20%5C%5C1.1x%2B231%3D1.8x%5C%5C%20%5C%5C1.8x-1.1x%3D231%5C%5C%20%5C%5C0.7x%3D231%5C%5C%20%5C%5C7x%3D2%2C310%5C%5C%20%5C%5Cx%3D770)
The speed of the private airplane is 770 mph, the speed of the commercial airplane is 770 + 210 = 980 mph.
![\left\{\begin{array}{ccc}3x-6y=20&|\cdot2\\2x-4y=3&|\cdot3\end{array}\right\\\left\{\begin{array}{ccc}6x-12y=40\\6x-12y=9\\\end{array}\right](https://tex.z-dn.net/?f=%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D3x-6y%3D20%26%7C%5Ccdot2%5C%5C2x-4y%3D3%26%7C%5Ccdot3%5Cend%7Barray%7D%5Cright%5C%5C%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D6x-12y%3D40%5C%5C6x-12y%3D9%5C%5C%5Cend%7Barray%7D%5Cright%20)
The left sides of the equations are the same and the right sides of the equations are different, therefore the system of equations is inconsistent.
Answer: B. inconsistent.