Answer:
a) 25/324
b) 1/4
c) 1/3
Step-by-step explanation:
a) [⅓A + ⅓B]² = (⅓)²[A + B]²
= (1/9) [½ + ⅓]²
= (1/9)(⅚)²
= (1/9)(25/36)
= 25/324
b) ½ × ½ = ¼
c) (½ × ⅓) + (⅓ × ½) = 2 × ⅙ = ⅓
Answer:
No
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Answer: $17.55
Step-by-step explanation:
36 x 0.65 = $23.40 total for all cookies
($23.40/1) x (3/4) = (70.2/4)
70.2 divided by 4 = $17.55
or
$23.40 x .75 = $17.55
Answer: 
Step-by-step explanation:
We know that the area of the living room can be calculated with the formula for find the area of a rectangle. This formula is:

Where:
is the lenght of the original living room, and
is the width of the original living room.
If he creates the addition that causes the dimensions to triple, then the new area of Garrett’s living room is:

Answer:
0.25 or 25%
Step-by-step explanation:
There are 4 possible outcomes for each die, which gives us 16 possible combinations (4 x 4). In order for the sum to exceed 5, the possible outcomes are:
Red = 3, and Green = 3
Red = 3, and Green = 4
Red = 4, and Green = 3
Red = 4, and Green = 4
Therefore, the probability of winning on a single play is:

The probability is 0.25 or 25%.