Answer:
Step-by-step explanation:
x² + 2x = x(x + 2)
![\sf \dfrac{x +5}{x + 2}-\dfrac{x+1}{x^2+2x}=\dfrac{x + 5}{x +2}-\dfrac{x+1}{x(x+2)}](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7Bx%20%2B5%7D%7Bx%20%2B%202%7D-%5Cdfrac%7Bx%2B1%7D%7Bx%5E2%2B2x%7D%3D%5Cdfrac%7Bx%20%2B%205%7D%7Bx%20%2B2%7D-%5Cdfrac%7Bx%2B1%7D%7Bx%28x%2B2%29%7D)
LCM = x(x+2)
![\sf =\dfrac{(x+5)*x}{(x+2)*x}-\dfrac{x+1}{x(x+2)}\\\\=\dfrac{x*x + 5*x}{x^2+2x}-\dfrac{x+1}{x^2+2x}\\\\=\dfrac{x^2+5x - (x+1)}{x^2+2}\\\\=\dfrac{x^2+5x -x - 1}{x^2+2x)}\\\\=\dfrac{x^2+4x-1}{x^2+2x}](https://tex.z-dn.net/?f=%5Csf%20%3D%5Cdfrac%7B%28x%2B5%29%2Ax%7D%7B%28x%2B2%29%2Ax%7D-%5Cdfrac%7Bx%2B1%7D%7Bx%28x%2B2%29%7D%5C%5C%5C%5C%3D%5Cdfrac%7Bx%2Ax%20%2B%205%2Ax%7D%7Bx%5E2%2B2x%7D-%5Cdfrac%7Bx%2B1%7D%7Bx%5E2%2B2x%7D%5C%5C%5C%5C%3D%5Cdfrac%7Bx%5E2%2B5x%20-%20%28x%2B1%29%7D%7Bx%5E2%2B2%7D%5C%5C%5C%5C%3D%5Cdfrac%7Bx%5E2%2B5x%20-x%20-%201%7D%7Bx%5E2%2B2x%29%7D%5C%5C%5C%5C%3D%5Cdfrac%7Bx%5E2%2B4x-1%7D%7Bx%5E2%2B2x%7D)
925 rounded to the nearest hundred is 900 becuase first we identify the hundreds digit which in this case is 9.
Second,we identify the next smallest place value (the digit to the right of the hundreds place) which in this case is 2.
Is that digit greater than or equal to five? No - we round Down.
The hundreds digit is stays the same but every digit after it becomes a zero.
Answer:
Abraham
Step-by-step explanation:
Abraham used the correct equation because if we represent the original size as 100% and decrease that by 20 it would be 80% or 0.8
Nasser's equation will solve for the change in price
Kathleen's equation solves for if the popcorn size was increased by 20%
Answer:
Step-by-step explanation:
Calculate the volume of a cone by its base and height with the equation volume = 1/3 * base * height. You can calculate the height of a cone from its volume by reversing this equation. Triple the volume amount. For this example, the volume is 100.