Answer:
22.7889447236
Step-by-step explanation:
Answer:
(A) 30x+90=300
(B) $7
Step-by-step explanation:
Let x be the roller skating rink's entrance fee for one student.
So, the entrance fee for 30 students=30x
As each student pays a $3 fee to rent skates
So, the fee for rent paid by 30 students= $3x30=$90
The total cost for the students to enter the rink and rent skates= 30x+90
As given that total fee to enter the rink and rent skates is $300.
Therefore, 30x+90=300
(A) The required equation is 30x+90=300.
(B) On solving the equation, we have
![30x+90=300\\\\ \Rightarrow 30x=300-90 \\\\\Rightarrow 30x=210 \\\\\Rightarrow x=210/30 \\\\\Rightarrow x=7](https://tex.z-dn.net/?f=30x%2B90%3D300%5C%5C%5C%5C%20%5CRightarrow%2030x%3D300-90%20%5C%5C%5C%5C%5CRightarrow%2030x%3D210%20%5C%5C%5C%5C%5CRightarrow%20x%3D210%2F30%20%5C%5C%5C%5C%5CRightarrow%20x%3D7)
Hence, the roller skating rink's entrance fee is $7.
Answer:
1/6
Step-by-step explanation:
The answer is C. Figures K and N are parallelograms. Hope this helped !
Volume of cone:
![V = \dfrac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=%20V%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h%20)
Double the radius to 2r, and double the height to 2h.
Volume of new larger cone:
![V = \dfrac{1}{3}\pi(2r)^2 \times 2h](https://tex.z-dn.net/?f=%20V%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%5Cpi%282r%29%5E2%20%5Ctimes%202h%20)
![V = \dfrac{1}{3}\pi \times 4r^2 \times 2h](https://tex.z-dn.net/?f=%20V%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20%5Ctimes%204r%5E2%20%5Ctimes%202h%20)
![V = \dfrac{1}{3}\pi \times 8r^2 h](https://tex.z-dn.net/?f=%20V%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20%5Ctimes%208r%5E2%20h%20)
![V = \dfrac{8}{3}\pi r^2 h](https://tex.z-dn.net/?f=%20V%20%3D%20%5Cdfrac%7B8%7D%7B3%7D%5Cpi%20r%5E2%20h%20)
Answer: Choice B)