I think the answer would be C but I am not certain.
Answer:
Step-by-step explanation:
Answer:
Hisaki can make 4 2/3 batches of cookies with 3 1/2 cups of sugar.
Step-by-step explanation:
Let x be number of batches with 3.5 cups. (I've converted the fractions to decimals to simply calculation. Let me know if you want an explanation where I retain the fractions as-is.)
1 batch = 0.75 cup
x batches = 3.5 cups
-using unitary method-
( 3.5 * 1 ) / 0.75 = x
4.66667 = x
Therefore, number of batches = x = 4 2/3 batches.
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)
