Step-by-step explanation:
s1 = 300
s2 = s1 × 2 = 300 × 2 = 600
s3 = s2 × 2 = s1 × 2² = 1200
sn = sn-1 × 2 = s1 × 2^(n-1)
s7 = 300 × 2⁶ = 300 × 64 = 19,200
Answer:
Step-by-step explanation:
1) length = x m
breadth = x/2 m
Area of rectangular floor = 32 square m
Length = 8 m
Breadth =8/2 = 4 m
Perimeter = 2*(length + breadth) = 2*(8 + 4)
= 2*12
= 24 m
2) Perimeter of square = 12 cm
Side of a square = perimeter ÷ 4 = 12 ÷ 4 = 3 cm
Area =side *side = 3*3 = 9 cm²
3) Perimeter of square field = 60 m
Side = Perimeter ÷ 4 = 60 ÷4 = 15 m
Area of square = 15 * 15 = 225 m²
4) Perimeter of rectangle = 28 cm
breadth = (Perimeter ÷ 2) - length
= (28 ÷2) - 8
= 14 - 8
Breadth = 6 cm
Area of rectangle = 8 * 6 = 48 cm
Answer:
57 mph
Step-by-step explanation:
Let b represent Bob's speed on the trip. Then his time is ...
time = distance/speed
Bob's time = 230/b
Then John's speed is b+8, and his time is ...
John's time = 230/(b+8)
The difference of their times is 1/2 hour:
Bob's time - John's time = 1/2
230/b -230/(b+8) = 1/2 . . . substitute the expressions for time
460(b+8 -b) = b(b+8) . . . . . multiply by 2b(b+8)
b^2 +8b -3680 = 0 . . . . . . .put in standard form
(b +4)^2 -3696 = 0 . . . . . . . add 16-16 to complete the square
b = -4 +√3696 ≈ 56.795 . . . solve for positive b
Bob's drove about 57 mph on the trip.
Caillan's pocket money increased 20-15=5 dollars per week, or to 20-15=1.33 of it's original amount. This is a 33% increase.
Answer:
300%
Step-by-step explanation:
600 / 120 = 300
