HELP ME.,,,,,,,,,,,,,,,,,,,
Gemiola [76]
Answer:
Step-by-step explanation:
Use pythagorean theorem
9^2 +40^2=x^2
81+1600=x^2
1681=x^2
now find the square root of each side
![\sqrt{1681} =\sqrt{x}](https://tex.z-dn.net/?f=%5Csqrt%7B1681%7D%20%3D%5Csqrt%7Bx%7D)
x=41
Each game costs 1.25 and each ride costs 3.75
Step-by-step explanation:
Let,
Cost of each game = x
Cost of each ride = y
According to given statement;
5x+6y=28.75 Eqn 1
4x+3y=16.25 Eqn 2
Multiplying Eqn 2 by 2
![2(4x+3y=16.25)\\8x+6y=32.50\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=2%284x%2B3y%3D16.25%29%5C%5C8x%2B6y%3D32.50%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 1 from Eqn 3
![(8x+6y)-(5x+6y)=32.50-28.75\\8x+6y-5x-6y=3.75\\3x=3.75](https://tex.z-dn.net/?f=%288x%2B6y%29-%285x%2B6y%29%3D32.50-28.75%5C%5C8x%2B6y-5x-6y%3D3.75%5C%5C3x%3D3.75)
Dividing both sides by 3
![\frac{3x}{3}=\frac{3.75}{3}\\x=1.25](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%3D%5Cfrac%7B3.75%7D%7B3%7D%5C%5Cx%3D1.25)
Putting x=1.25 in Eqn 1
![5(1.25)+6y=28.75\\6.25+6y=28.75\\6y=28.75-6.25\\6y=22.50](https://tex.z-dn.net/?f=5%281.25%29%2B6y%3D28.75%5C%5C6.25%2B6y%3D28.75%5C%5C6y%3D28.75-6.25%5C%5C6y%3D22.50)
Dividing both sides by 6
![\frac{6y}{6}=\frac{22.50}{6}\\y=3.75](https://tex.z-dn.net/?f=%5Cfrac%7B6y%7D%7B6%7D%3D%5Cfrac%7B22.50%7D%7B6%7D%5C%5Cy%3D3.75)
Each game costs 1.25 and each ride costs 3.75
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
<u>QUESTION 1</u>
Let
represent the number of years.
Then each year the number of people added is given by the function
![N(n)=8.7\times 10^5(n)](https://tex.z-dn.net/?f=N%28n%29%3D8.7%5Ctimes%2010%5E5%28n%29)
Therefore after
years,
![N(25)=8.7\times 10^5(25)](https://tex.z-dn.net/?f=N%2825%29%3D8.7%5Ctimes%2010%5E5%2825%29)
![N(25)=21750000](https://tex.z-dn.net/?f=N%2825%29%3D21750000)
In scientific notation,
![N(25)=2.175\times 10^7](https://tex.z-dn.net/?f=N%2825%29%3D2.175%5Ctimes%2010%5E7)
<u>ANSWER TO QUESTION 2</u>
The population after 25 years can be calculated by adding the increment in population to the initial population.
The initial population
![P_0=9.7\times 10^7](https://tex.z-dn.net/?f=P_0%3D9.7%5Ctimes%2010%5E7)
The population after 25 years
![P(25)=9.7\times 10^7+2.175\times 10^7](https://tex.z-dn.net/?f=P%2825%29%3D9.7%5Ctimes%2010%5E7%2B2.175%5Ctimes%2010%5E7)
![P(25)=(9.7+2.175)\times 10^7](https://tex.z-dn.net/?f=P%2825%29%3D%289.7%2B2.175%29%5Ctimes%2010%5E7)
![P(25)=(11.875)\times 10^7](https://tex.z-dn.net/?f=P%2825%29%3D%2811.875%29%5Ctimes%2010%5E7)
![P(25)=1.1875\times 10^1 \times 10^7](https://tex.z-dn.net/?f=P%2825%29%3D1.1875%5Ctimes%2010%5E1%20%5Ctimes%2010%5E7)
![P(25)=1.1875\times 10^1 \times 10^7](https://tex.z-dn.net/?f=P%2825%29%3D1.1875%5Ctimes%2010%5E1%20%5Ctimes%2010%5E7)
![P(25)=1.1875\times 10^8](https://tex.z-dn.net/?f=P%2825%29%3D1.1875%5Ctimes%2010%5E8)
The area would change because now as the whole number is 1 instead or a 0 and 1 is greater than a 0.