Answer: 5 cookies
Step-by-step explanation: 8 + .4c = 2.5 + 1.5c
8 + 0.4c = 2.5 + 1.5c
8 · 10 + 0.4c · 10 = 2.5 · 10 + 1.5c · 10
80 + 4c = 25 + 15c
4c = 15c - 55
4c - 15c = 15c - 55 - 15c
-11c = -55
c = 5
The fireworks display occur at 550.331 ft
The generic equation for a hyperbola provided by: is the best method for solving the problem in this instance.
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We presume that the y-axis is where the hyperbola's longer axis lies.
In this instance, the sound traveled a total of 1100 meters, and the value of a can be calculated as follows:
2a = 1100
a = 550ft
Given that the two people are 3 miles apart, we can calculate the value of c in feet as follows:
1 mile = 5280 feet
∴ 3 miles = 15840 ft = c
And this is how we may determine what b is worth:
![b^{2} = c^{2} - a^{2}](https://tex.z-dn.net/?f=b%5E%7B2%7D%20%3D%20c%5E%7B2%7D%20-%20a%5E%7B2%7D)
![b^{2} = 15840^{2} - 550^{2}](https://tex.z-dn.net/?f=b%5E%7B2%7D%20%3D%2015840%5E%7B2%7D%20-%20550%5E%7B2%7D)
![b^{2} = 250603100](https://tex.z-dn.net/?f=b%5E%7B2%7D%20%3D%20250603100)
Our equation is thus given by:
![\frac{y^{2} }{250603100 } - \frac{x^{2} }{550^{2} } = 1](https://tex.z-dn.net/?f=%5Cfrac%7By%5E%7B2%7D%20%7D%7B250603100%20%7D%20-%20%5Cfrac%7Bx%5E%7B2%7D%20%7D%7B550%5E%7B2%7D%20%7D%20%3D%201)
And for this case we want to find the value of x when y = 3ft=15840ft and solving for x we get,
![\frac{15840^{2} }{250603100 } - \frac{x^{2} }{550^{2} } = 1](https://tex.z-dn.net/?f=%5Cfrac%7B15840%5E%7B2%7D%20%7D%7B250603100%20%7D%20-%20%5Cfrac%7Bx%5E%7B2%7D%20%7D%7B550%5E%7B2%7D%20%7D%20%3D%201)
![\frac{15840^{2} }{250603100 } - 1 = \frac{x^{2} }{550^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B15840%5E%7B2%7D%20%7D%7B250603100%20%7D%20-%201%20%3D%20%5Cfrac%7Bx%5E%7B2%7D%20%7D%7B550%5E%7B2%7D%20%7D)
![1.001- 1 = \frac{x^{2} }{550^{2} }](https://tex.z-dn.net/?f=1.001-%201%20%3D%20%5Cfrac%7Bx%5E%7B2%7D%20%7D%7B550%5E%7B2%7D%20%7D)
![0.001 = \frac{x^{2} }{550^{2} }](https://tex.z-dn.net/?f=0.001%20%3D%20%5Cfrac%7Bx%5E%7B2%7D%20%7D%7B550%5E%7B2%7D%20%7D)
![302865.145= {x^{2}](https://tex.z-dn.net/?f=302865.145%3D%20%7Bx%5E%7B2%7D)
x = 550.331 ft.
The fireworks display occur at 550.331 ft.
Learn more about hyperbola here :
brainly.com/question/14307125
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x represents the total sales and y represents the total amount of money that Gary earns.
Gary's monthly salary = 1500
His commission = 10% of his sales
= ![\frac{10}{100} x](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B100%7D%20x)
= 0.1x
So, total amount of money Gary earns is y = 0.1x + 1500.
0.34 I think. domt take me for granted