Answer:
Step-by-step explanation:
if a<b<0
then the absolute value for a is greater than that of b
as a results, the square of a should be greater than that of b
Answer:
3 pounds of chicken wings would cost $15.54
Step-by-step explanation:
½ pound times 2 is 1 pound.
$2.59 × 6 = $15.54
Answer:
D) 7
Step-by-step explanation:
Let y = number of yellow marbles in the bag
For the first marble
P(yellow) = number of yellow marbles over total
=y/12
For the second draw, there are y-1 yellow marbles in the bag, and only 11 marbles left since we keep the first marble
P(2nd marble yellow) = (y-1)/11
The probability that the first and second marble are yellow when we keep the first marble is
y/12 * (y-1)/11 = 5/33
y * (y-1) 5
---------- = ----------
121 33
We can use cross products to solve
33 y(y-1) = 660
Divide each side by 33
y(y-1) = 660/33
y(y-1) = 20
Distribute
y^2 -y =20
Subtract 20
y^2 -y -20 =0
Factor
(y-5)(y+4) =0
Using the zero product property
y = 5 or y = -4
Since we cant have negative marbles
We have 5 yellow marbles
Since there are 12 marbles
12-5 =7
There are 7 green marbles
To solve this problem we can find the area of the whole rectangle, then find the area of the smaller white rectangle inside the whole rectangle. Lastly, we can subtract the area of the smaller rectangle from the area of the whole rectangle which leaves us with the area of the shaded region.
Area of whole rectangle = length x width
= (3x + 6) (2x + 4)
= 6x squared + 24x + 24
Area of small rectangle = length x width
= (x-3) (x - 1)
= x squared - 4x + 3
Area of shaded region = area of whole rectangle - area of small rectangle
= 6x squared + 24x + 24 - x squared + 4x - 3
= 5x squared + 28x + 21
