Answer:
![\dfrac{3x+4}{2x-2}](https://tex.z-dn.net/?f=%5Cdfrac%7B3x%2B4%7D%7B2x-2%7D)
Step-by-step explanation:
Invert and multiply the way you would any fraction division problem. Then cancel common factors from numerator and denominator.
![\displaystyle\frac{\left(\frac{4x^2+2x}{x^2+x-2}\right)}{\left(\frac{8x^2+4x}{3x^2+10x+8}\right)}=\frac{4x^2+2x}{x^2+x-2}\cdot\frac{3x^2+10x+8}{8x^2+4x}\\\\=\frac{2x(2x+1)(3x+4)(x+2)}{4x(2x+1)(x-1)(x+2)}=\frac{3x+4}{2(x-1)}\\\\=\frac{3x+4}{2x-2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B%5Cleft%28%5Cfrac%7B4x%5E2%2B2x%7D%7Bx%5E2%2Bx-2%7D%5Cright%29%7D%7B%5Cleft%28%5Cfrac%7B8x%5E2%2B4x%7D%7B3x%5E2%2B10x%2B8%7D%5Cright%29%7D%3D%5Cfrac%7B4x%5E2%2B2x%7D%7Bx%5E2%2Bx-2%7D%5Ccdot%5Cfrac%7B3x%5E2%2B10x%2B8%7D%7B8x%5E2%2B4x%7D%5C%5C%5C%5C%3D%5Cfrac%7B2x%282x%2B1%29%283x%2B4%29%28x%2B2%29%7D%7B4x%282x%2B1%29%28x-1%29%28x%2B2%29%7D%3D%5Cfrac%7B3x%2B4%7D%7B2%28x-1%29%7D%5C%5C%5C%5C%3D%5Cfrac%7B3x%2B4%7D%7B2x-2%7D)
It is not a prime number 'cause 124 can be divided by 2,4 which makes 124 a composite number instead of a prime number
Answer:
841 rounded to the nearest hundred is 800 .
Answer:
:D
Step-by-step explanation:
Answer:
1. 10.5 liters
2. 1,500 cups of tea
3. 960 milliliters
4. 1/4 a liter
Step-by-step explanation:
1. If there are 7 days in a week, and she drinks 1.5 liters a day, we just multiply 1.5 (liters) x 7 (days) = 10.5 liters
2. There are 1000 milliliters in 1 liter. Multiply 1.5 liters by 1000 milliliters = 1,500 milliliters
3. If you multiply 800 by 0.2 (20%) you will get 160. Then add 160 + 800 = 960 milliliters
4. If you look at the fraction wall I included, you will see how there are 4/4 in 1 liter, and 2/2 in 1 liter. Half of a liter (1/2) is the same as 2/4. If you were to subtract 3/4 from 2/4, you'd get 1/4 left.
Hope that helps!