Bonzo went to a carnival. At the first
1 answer:
Bonzo started with 2.1 dollars
Step-by-step explanation:
Assume that Bonzo has $x
1. Change $x to cents
2. Calculate the remaining money with him after each game
3. Equate the left money in the 3rd game by zero to find x
∵ $1 = 100 cents
∴ $x = 100 x cents
First game
∵ Bonzo has 100 x cents
∵ He paid 10¢ to get in
∴ The money left is (100 x - 10)
∵ He spent half the money he had left
- That mean the money left with him is the other have
∴ The money left with him = (100 x - 10) = (50 x - 5) cents
∵ He spent 10¢ to get out
∴ The money left after 1st game = (50 x - 5) - 10
∴ The money left after 1st game = (50 x - 15) cents
Second game
∵ Bonzo has (50 x - 15) cents
∵ He paid 10¢ to get in
∴ The money left is (50 x - 15) - 10 = (50 x - 25)
∵ He spent half the money he had left
∴ The money left with him = (50 x - 25) = (25 x - 12.5) cents
∵ He spent 10¢ to get out
∴ The money left after 2nd game = (25 x - 12.5) - 10
∴ The money left after 2nd game = (25 x - 22.5) cents
Third game
∵ Bonzo has (25 x - 22.5) cents
∵ He paid 10¢ to get in
∴ The money left is (25 x - 22.5) - 10 = (25 x - 32.5)
∵ He spent half the money he had left
∴ The money left with him = (25 x - 32.5) = (12.5 x - 16.25) cents
∵ He spent 10¢ to get out
∴ The money left after 3rd game = (12.5 x - 16.25) - 10
∴ The money left after 3rd game = (12.5 x - 26.25) cents
∵ He found he had no money left after the 3rd game
∴ Equate the left money with him by zero
∴ 12.5 x - 26.25 = 0
- Add 26.25 to both sides
∴ 12.5 x = 26.25
- Divide both sides by 12.5
∴ x = 2.1
<em>Bonzo started with 2.1 dollars </em>
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Answer : The speed of both planes is 61.25 mph and 18.75 mph respectively.
Explanation:
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Let the speed of second plane be y mph
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i.e. x - y= 80 ( 1)
Distance between two planes = 3400 miles
As they are flying towards each other i.e. they are in the opposite direction.
So, Relative speed will be the sum of their speeds i.e.
Relative speed = x + y
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Speed=
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⇒ x+y=42.5 ( 2)
Now, by using the elimination method of solving the system of equation, we have ,
x= 61.25 mph
and y = 18.75 mph
Answer:
The correct answers are Blue: square units
; Green:
square units; and Yes the sum converges.
Step-by-step explanation:
Area of the largest triangle is 1 square unit.
The area of the triangle which are colored and follow a geometric sequence with the common ratio being .
Area of the not shaded triangle is given by 1 square unit.
Area of the orange triangle is given by 1 × =
square units.
Area of the blue triangle is given by ×
=
square units.
Area of the green triangle is given by ×
=
square units.
If the pattern continues definitely then it becomes an infinite geometric progression series with common ratio . And thus the sum of area coverges as the ratio lies between -1 and 1.