Answer:

Step-by-step explanation:
we know that
Karl makes 7 1/2 batches of cookies using 1 1/2 dozen eggs
so using proportion
Find out how many batches of cookies could he make with a dozen eggs
step 1
Convert mixed numbers to an improper fraction


step 2
Applying proportion
Let
x ----> the amount of batches of cookies

They answer is they ate 6 kilos! of the 8 kilos because you have to reduce 6/8 to 3/4 and 3/4 of 8 is 6.
14/12=1 and 2/12= 1 and 1/6
31/10= 3 and 1/10
Answer:
k=-\frac{-6e+77}{4}
Step-by-step explanation:
First we look at the equation an determine our common denominator.
(X²-X-6) / X² = (X-6) / 2X + (2X+12) / X (let's use 2X² as the comm denom)
multiply the first fraction by 2, the second by X, and the third by 2x
(2x²-2x-12) / 2x² = (x²-6x) / 2x² + (4x²+24x) / 2x² (dropping the denominator)
2x² - 2x - 12 = x² - 6x + 4x² + 24x (simplify)
-3x² - 20x - 12 (multiply by -1)
3x² + 20x + 12
(x + 6) (3x + 2) (factored version)