Answer:
5.8b+0.2c
Step-by-step explanation:
5b+0.8b = 5.8b
5.8b+0.2c
C squared = a squared+ b squared (formula)
so therefore
(c longest side) (this is your x)
(a and b shorter sides).
C squared = 5 squared + 3 squared
C squared = 25 + 9
C squared = 31
Then you find the square root of c (which is just getting rid of the squared sign) and the square root of 31 And that is your answer
Hope this helps!!
Step-by-step explanation:
Here, pole is making a right triangle with the wall and pole is acting as hypotenuse. Thus by using Pythagoras theorem the length of pole can be calculated as:
![length \: of \: pole = \sqrt{ {4}^{2} + {15}^{2} } \\ = \sqrt{16 + 225} \\ = \sqrt{241} ft \\ \red{ \boxed{\therefore \: length \: of \: pole =\sqrt{241} \: ft}}](https://tex.z-dn.net/?f=length%20%5C%3A%20of%20%5C%3A%20pole%20%3D%20%20%5Csqrt%7B%20%7B4%7D%5E%7B2%7D%20%20%2B%20%20%7B15%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B16%20%2B%20225%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B241%7D%20ft%20%5C%5C%20%20%20%5Cred%7B%20%5Cboxed%7B%5Ctherefore%20%5C%3A%20length%20%5C%3A%20of%20%5C%3A%20pole%20%3D%5Csqrt%7B241%7D%20%5C%3A%20%20ft%7D%7D)
Hence, option B is the correct answer.
The Answer: 0.35 cents
2.10 divided by 6= 0.35
375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased
Step-by-step explanation:
Let x be the number lower reserved tickets
and
y be the number of upper reserved tickets
Then according to given statements
![x+y = 740\ \ \ \ Eqn\ 1\\9.50x+8y = 6482.50\ \ \ \ Eqn\ 2](https://tex.z-dn.net/?f=x%2By%20%3D%20740%5C%20%5C%20%5C%20%5C%20Eqn%5C%201%5C%5C9.50x%2B8y%20%3D%206482.50%5C%20%5C%20%5C%20%5C%20Eqn%5C%202)
From equation 1:
![x = 740-y](https://tex.z-dn.net/?f=x%20%3D%20740-y)
Putting in equation 2
![9.5(740-y)+8y = 6482.50\\7030-9.5y+8y = 6482.50\\7030-1.5y = 6482.50](https://tex.z-dn.net/?f=9.5%28740-y%29%2B8y%20%3D%206482.50%5C%5C7030-9.5y%2B8y%20%3D%206482.50%5C%5C7030-1.5y%20%3D%206482.50)
Subtracting 7030 from both sides
![7030-7030-1.5y = 6482.50-7030\\-1.5y=-547.5](https://tex.z-dn.net/?f=7030-7030-1.5y%20%3D%206482.50-7030%5C%5C-1.5y%3D-547.5)
Dividing both sides by -1.5
![\frac{-1.5y}{-1.5} = \frac{-547.5}{-1.5}\\y = 365](https://tex.z-dn.net/?f=%5Cfrac%7B-1.5y%7D%7B-1.5%7D%20%3D%20%5Cfrac%7B-547.5%7D%7B-1.5%7D%5C%5Cy%20%3D%20365)
Putting y = 365 in equation 1
![x+365 = 740\\x = 740 - 365\\x = 375](https://tex.z-dn.net/?f=x%2B365%20%3D%20740%5C%5Cx%20%3D%20740%20-%20365%5C%5Cx%20%3D%20375)
Hence,
375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased
Keywords: Linear equations, Variables
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