Answer:
$2.00/5= 0.4
so 40 cents
Step-by-step explanation:
GCF(y(x² + 2) + 3(x² + 2)) = x² + 2
(y - 3)(x² + 2)
y(x² + 2) - 3(x² + 2)
y(x²) + y(2) - 3(x²) - 3(2)
x²y + 2y - 3x² - 6
x²y - 3x² + 2y - 6
(y - 3)x² + 2y - 6
Answer:
We shall use the method of splitting the middle term
To factorize
3x² - 10 x + 8
We need two numbers which add to give -10 and multiply to give 3 × 8 = 24
The numbers are -6 & -4
(-6)+(-4) = -10
(-6)(-4) = 24
So we shall split -10x as -6x - 4x
We get
3x² -10x + 8
= 3x² -6x -4x+8
Taking out 3x common from first two terms & -4 from the lest two terms we get
= 3x(x-2)-4(x-2)
Taking out (x-2) common we get
= (x-2)(3x-4)
So
3x² - 10x + 8 = (x-2)(3x-4)
Answer:
1/2 liters
Step-by-step explanation:
Rosanne makes 1 1/2 liters of strawberry lemonade
She pours 1/4 of the lemonade into a thermos
The quantity left is
= 1 1/2 - 1/4
= 3/2 - 1/4
= 5/4
Her brother drinks 2/5 of the remaining lemonade
Therefore the quantity of lemonade that Rosanne brother drinks can be calculated as follows
= 2/5 × 5/4
=1/2
Hence the quantity of lemonade that Rosanne brother drinks is 1/2 liters
