ANSWER - x= 4
steps : 3 time x which is 3x and 3 times 2 then 9 times 6 which is 54 and 9 times x then add nine to both sides to cancel out the -9x then it’s 12x + 6 = 54 now subtract 6 from both sides and you get 12x = 48 now divide both sides by 12 and you get 4
Assuming that each candle costs the same amount, we divide total cost by the amount of the candles bought. $36/12 candles. Your final answer would be $3 per candle.
Given:
To find:
The rate of change in volume at 
Solution:
We know that, volume of a cone is
Differentiate with respect to t.
![\dfrac{dV}{dt}=\dfrac{1}{3}\pi\times \left[(r^2\dfrac{dh}{dt}) + h(2r\dfrac{dr}{dt})\right]](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%5Ctimes%20%5Cleft%5B%28r%5E2%5Cdfrac%7Bdh%7D%7Bdt%7D%29%20%2B%20h%282r%5Cdfrac%7Bdr%7D%7Bdt%7D%29%5Cright%5D)
Substitute the given values.
![\dfrac{dV}{dt}=\dfrac{1}{3}\times \dfrac{22}{7}\times \left[(120)^2(-2.1) +175(2)(120)(1.4)\right]](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%3D%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%20%5Cdfrac%7B22%7D%7B7%7D%5Ctimes%20%5Cleft%5B%28120%29%5E2%28-2.1%29%20%2B175%282%29%28120%29%281.4%29%5Cright%5D)
![\dfrac{dV}{dt}=\dfrac{22}{21}\times \left[-30240+58800\right]](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%3D%5Cdfrac%7B22%7D%7B21%7D%5Ctimes%20%5Cleft%5B-30240%2B58800%5Cright%5D)
Therefore, the volume of decreased by 29920 cubic inches per second.
Answer:
Step-by-step explanation:
That composite figure is made up of a square and a quarter of a circle. We will first find the area of the square. Then we will find the area of the circle and divide it by 4.
Area of square = 1.6 × 1.6
Area of square = 2.56 m squared
Area of circle = (3.14)(1.6²) In case you forgot, the area of a circle is A = πr².
Area of circle = 8.0384
Divide that by 4 to get 2.0096.
Add 2.0096 to 2.56 to get the total area, which is
4.5696 or 4.6 rounded (choice D)
