Answer:
![Width= 13 cm](https://tex.z-dn.net/?f=Width%3D%2013%20cm)
![length=30cm](https://tex.z-dn.net/?f=length%3D30cm)
Step-by-step explanation:
Let the length of the rectangle be 'L'
And the width of the rectangle be 'W'
![Perimeter= 86 cm](https://tex.z-dn.net/?f=Perimeter%3D%2086%20cm)
According to the statement:
![Length= 2*Width+4\\L=2W+4](https://tex.z-dn.net/?f=Length%3D%202%2AWidth%2B4%5C%5CL%3D2W%2B4)
Perimeter of a rectangle= 2(Length+Width)
![86=2(2W+4+W)\\86/2=3W+4\\43=3W+4\\3W=43-4\\3W=39\\W=39/3\\W=13 cm\\\\Length(L)=2W+4\\=2(13)+4=26+4=30 cm\\Length=30 cm](https://tex.z-dn.net/?f=86%3D2%282W%2B4%2BW%29%5C%5C86%2F2%3D3W%2B4%5C%5C43%3D3W%2B4%5C%5C3W%3D43-4%5C%5C3W%3D39%5C%5CW%3D39%2F3%5C%5CW%3D13%20cm%5C%5C%5C%5CLength%28L%29%3D2W%2B4%5C%5C%3D2%2813%29%2B4%3D26%2B4%3D30%20cm%5C%5CLength%3D30%20cm)
![Width= 13 cm](https://tex.z-dn.net/?f=Width%3D%2013%20cm)
![length=30cm](https://tex.z-dn.net/?f=length%3D30cm)
Answer:
All three are rational numbers.
Step-by-step explanation:
I used Desmos (a graphing calculator online) and the roots were all able to be written with fractions.
Answer: The waiting time will be 32 minutes when 240 people in line.
Step-by-step explanation:
Let us assume that the waiting time is directly proportional to the number of people in the queue.
Equation of direct proportion between variables x and y : ![\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx_1%7D%7By_1%7D%3D%5Cdfrac%7Bx_2%7D%7By_2%7D)
Put
to find
.
![\dfrac{20}{150}=\dfrac{x_2}{240}\\\\\Rightarrow\ x_2=\dfrac{20}{150}\times240\\\\\Rightarrow\ x_2=32](https://tex.z-dn.net/?f=%5Cdfrac%7B20%7D%7B150%7D%3D%5Cdfrac%7Bx_2%7D%7B240%7D%5C%5C%5C%5C%5CRightarrow%5C%20x_2%3D%5Cdfrac%7B20%7D%7B150%7D%5Ctimes240%5C%5C%5C%5C%5CRightarrow%5C%20x_2%3D32)
Hence, the waiting time will be 32 minutes when 240 people in line.
I believe the answer is C
Answer:
4
Step-by-step explanation:
hope the diagram helps haha