Answer:
D) 11/12
Step-by-step explanation:
From 1 to 12, 6 numbers are odd (1, 3, 5, 7, 9, and 11).
7 numbers are non-prime (1, 4, 6, 8, 9, 10, and 12).
2 numbers are both odd and non-prime (1 and 9).
Therefore, the probability is:
(6 + 7 − 2) / 12 = 11/12
The perimeter is given by:
P = 2x + 2y = 28
The area is given by:
A = x * y
Writing the area based on x we have:
A (x) = x * (14-x)
Rewriting:
A (x) = 14x-x ^ 2
Deriving we have:
A '(x) = 14-2x
We equal zero and clear x:
14-2x = 0
x = 14/2
x = 7
We are now looking for the other dimension:
y = 14-x
y = 14-7
y = 7
Answer: The length and width of a rectangle that has the given perimeter and a maximum area are:
y = 7 meters
left means subtracting
6 7/8 - 2 5/8
Whole numbers subtract each other
Numerators subtract each other
The denominators stay the same.
6-2= 4
7-5=2
4 2/8
Reduce 2/8. Divide by 2. 2/2= 1, 8/2= 4
4 2/8=4 1/4
Answer: 4 2/8 = 4 1/4 cups left
3/4x+5/6=5x-125/3
3/4x+5/6-5/6=5x-125/3-5/6
4/3x=5x-85/2
4/3x-5x=5x-5x-85/2
-17/4x=-85/2
(-4*-17/4x)=(-85/2*-4)
17x=170
x=170/17
x=10
