Answer:
the solutions are -8, -3
Step-by-step explanation:
We are given an equation z² + 11z + 24 = 0 and we have to find solutions for it, which means finding out the value of z.
We will do it by factorization method
We will factorize the equation such that the sum of two factor is equal to 11z and the product is 24z²
z² +8z + 3z + 24 = 0
z(z + 8) + 3(z + 8) = 0
taking z+8 common above
(z+3)(z+8) = 0
z+3 = 0, z = -3
z+8 = 0, z = -8
so the solutions are -8, -3
1 serving of Roast beef and 2 servings of mashed potatoes.
Answer: 60 pages left.
Step-by-step explanation:
Let the number of pages in the book be x.
As per given, we have
![\dfrac14x+20=\dfrac13x\\\\\Rightarrow\ \dfrac{1}{3}x-\dfrac14 x=20\\\\\Rightarrow\ \dfrac{4-3}{12}x=20\\\\\Rightarrow\ \dfrac1{12}x=20\\\\\Rightarrow x=20\times12\\\\\Rightarrow x=240](https://tex.z-dn.net/?f=%5Cdfrac14x%2B20%3D%5Cdfrac13x%5C%5C%5C%5C%5CRightarrow%5C%20%5Cdfrac%7B1%7D%7B3%7Dx-%5Cdfrac14%20x%3D20%5C%5C%5C%5C%5CRightarrow%5C%20%5Cdfrac%7B4-3%7D%7B12%7Dx%3D20%5C%5C%5C%5C%5CRightarrow%5C%20%5Cdfrac1%7B12%7Dx%3D20%5C%5C%5C%5C%5CRightarrow%20x%3D20%5Ctimes12%5C%5C%5C%5C%5CRightarrow%20x%3D240)
of total book =
Pages left = 240-180
= 60
Hence, 60 pages left.