Every rational number has a base-2 representation, but only the ones with denominators that are powers of 2 will require a finite number of bits to fully represent it.
For example,
whereas a number whose denominator contains anything else like 1/3 will need an infinite number of bits to represent it exactly.
and so on, so that it has a repeating but non-terminating base-2 representation
Answer:
D: 768
Step-by-step explanation:
First, he divides a piece of paper in half.
He gets two pieces.
Next, he cuts each of the pieces into three parts.
Thirdly, he cuts each of the 6 pieces into 8 pieces.
Lastly, he divides each piece into 16 parts.
He has 768 pieces in the end. (D)
The initial dimenssions of the park lot are:
length: 140 ft
width: 90 ft
initial area: 140 * 90 = 12,600 ft^2
Area increased 29% = 12,600 * 1.29 = 16,254 ft^2
width of the strips: x
New length: 140 + x
New width: 90 + x
New area: (140+x)(90+x) = 16,254
Solution of the equation:
12600 + 230x + x^2 = 16254
=> x^2 + 230x - 3654 = 0
Use the quadratic formula.
x = {-230 +/- √[ 230^2 - 4*1*(-3654) ]} / 2 =
x = 14.92
The other solution is negative so it is discarded.
Answer: 15 ft
X-1/2=15 1/4
15 1/4 = 15*4 + 1 = 61/4
61/4
x - 1/2 = 61/4
+1/2 +1/2
61/4 + 2/4 = 63/4
x = 63/4
Answer:
120
Step-by-step explanation:
180 subtract 60 equals 120
