Answer:
(-3+√17 )/2. or( -3-√17)/2
hope you got it
Step-by-step explanation:
hey.. everyone please
Vmwaajtexf
come
Answer:
Oliver completed his training work in 50.25 hours
Step-by-step explanation:
we know that
![1\ day= 24\ hours](https://tex.z-dn.net/?f=1%5C%20day%3D%2024%5C%20hours)
![1\ hour=60\ minutes](https://tex.z-dn.net/?f=1%5C%20hour%3D60%5C%20minutes)
we have
![2\ days, 2\ h,\ and\ 15\ min](https://tex.z-dn.net/?f=2%5C%20days%2C%202%5C%20h%2C%5C%20and%5C%2015%5C%20min)
<u><em>Convert days to hours</em></u>
![2\ days=2(24)=48\ hours](https://tex.z-dn.net/?f=2%5C%20days%3D2%2824%29%3D48%5C%20hours)
<u><em>Convert minutes to hour</em></u>
![15\ min=15(1/60)=1/4=0.25\ h](https://tex.z-dn.net/?f=15%5C%20min%3D15%281%2F60%29%3D1%2F4%3D0.25%5C%20h)
so
![2\ days, 2\ h,\ and\ 15\ min=(48)+(2)+(0.25)=50.25\ h](https://tex.z-dn.net/?f=2%5C%20days%2C%202%5C%20h%2C%5C%20and%5C%2015%5C%20min%3D%2848%29%2B%282%29%2B%280.25%29%3D50.25%5C%20h)
therefore
Oliver completed his training work in 50.25 hours
Answer: 120
<u>Step-by-step explanation:</u>
Ratio Quantity
Boys: 5 80 + x
Girls: 3 x
![\dfrac{5}{3}=\dfrac{80+x}{x}\\\\\\5x=3(80+x)\\\\5x=240+3x\\\\2x=240\\\\x=120](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B3%7D%3D%5Cdfrac%7B80%2Bx%7D%7Bx%7D%5C%5C%5C%5C%5C%5C5x%3D3%2880%2Bx%29%5C%5C%5C%5C5x%3D240%2B3x%5C%5C%5C%5C2x%3D240%5C%5C%5C%5Cx%3D120)
We can use the substitution method to solve this problem.
The second equation is
![\sf y=2x](https://tex.z-dn.net/?f=%5Csf%20y%3D2x)
, so we can plug in 2x for 'y' in the first equation:
![\sf 5x-2y=3](https://tex.z-dn.net/?f=%5Csf%205x-2y%3D3)
![\sf 5x-2(2x)=3](https://tex.z-dn.net/?f=%5Csf%205x-2%282x%29%3D3)
Multiply:
![\sf 5x-4x=3](https://tex.z-dn.net/?f=%5Csf%205x-4x%3D3)
Combine like terms:
![\sf x=3](https://tex.z-dn.net/?f=%5Csf%20x%3D3)
This is the x-value of our solution, we can plug this into any of the two equations to find the y-value:
![\sf y=2x](https://tex.z-dn.net/?f=%5Csf%20y%3D2x)
![\sf y=2(3)](https://tex.z-dn.net/?f=%5Csf%20y%3D2%283%29)
Multiply:
![\sf y=6](https://tex.z-dn.net/?f=%5Csf%20y%3D6)
This is the y-value of our solution. So our entire solution is (3, 6).