Answer:
$100
Step-by-step explanation:
Let C be the cost for 150 minutes of play time.
We have been given that Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.
We will use proportions to find the cost for 150 minutes of play time as proportions states that two fractions are similar.
![\frac{\text{Cost of 30 minutes of play time}}{\text{30 minutes}}=\frac{\text{Cost of 150 minutes of play time}}{\text{150 minutes}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BCost%20of%2030%20minutes%20of%20play%20time%7D%7D%7B%5Ctext%7B30%20minutes%7D%7D%3D%5Cfrac%7B%5Ctext%7BCost%20of%20150%20minutes%20of%20play%20time%7D%7D%7B%5Ctext%7B150%20minutes%7D%7D)
Upon substituting the given value we will get,
![\frac{20}{30}=\frac{C}{150}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B30%7D%3D%5Cfrac%7BC%7D%7B150%7D)
Upon cross multiplying our equation we will get,
![30C=150\times 20](https://tex.z-dn.net/?f=30C%3D150%5Ctimes%2020)
Upon dividing both sides of equation by 30 we will get,
![\frac{30C}{30}=\frac{150\times 20}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B30C%7D%7B30%7D%3D%5Cfrac%7B150%5Ctimes%2020%7D%7B30%7D)
![C=\frac{150\times 20}{30}](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B150%5Ctimes%2020%7D%7B30%7D)
![C=5\times 20](https://tex.z-dn.net/?f=C%3D5%5Ctimes%2020)
![C=100](https://tex.z-dn.net/?f=C%3D100)
Therefore, Quinn need $100 to pay for 150 minutes of play time.
Answer:
AEI
Step-by-step explanation:
I don't know I don't really like shrimp or honey musterd
First, let's calculate the area of the rectangle. Find the distances between the length and the width. For the width we can use point A and point D.
(2, 2) and (20, 2)
20 - 2 = 18
So the width is 18 cm. Now find the length. We can use point A and point B.
(2, 2) and 2, 26)
26 - 2 = 24
So the length is 24.
![\sf A=lw](https://tex.z-dn.net/?f=%5Csf%20A%3Dlw)
![\sf A=(24)(18)](https://tex.z-dn.net/?f=%5Csf%20A%3D%2824%29%2818%29)
![\sf A=432cm^2](https://tex.z-dn.net/?f=%5Csf%20A%3D432cm%5E2)
So the area of the rectangle is 432 square centimeters, now let's find the area of the circle.
The radius is given as 15 cm. Use 3.14 to approximate for pi.
![\sf A=\pi r^2](https://tex.z-dn.net/?f=%5Csf%20A%3D%5Cpi%20r%5E2)
![\sf A\approx (3.14)(15)^2](https://tex.z-dn.net/?f=%5Csf%20A%5Capprox%20%283.14%29%2815%29%5E2)
![\sf A\approx (3.14)(225)](https://tex.z-dn.net/?f=%5Csf%20A%5Capprox%20%283.14%29%28225%29)
![\sf A\approx 706.5cm^2](https://tex.z-dn.net/?f=%5Csf%20A%5Capprox%20706.5cm%5E2)
So the area of the circle is approximately 706.5 square centimeters. Subtract this area from the area of the rectangle to find the value of the shaded area.
The answer will be “13.44” .