Answer:
I think the answer is 5
Hopefully it works :)
Step-by-step explanation:
Quantity of paint left =
gallons
Solution:
Quantity of yellow paint =
gallons
Quantity of green paint =
gallons
Quantity of blue paint =
gallons
Quantity of paint used =
gallons of each paint
Quantity of paint left =
gallons of each paint
Quantity of paint left = ![(\frac{6}{5}+\frac{7}{6}+\frac{7}{8})\times\frac{1}{4}](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B5%7D%2B%5Cfrac%7B7%7D%7B6%7D%2B%5Cfrac%7B7%7D%7B8%7D%29%5Ctimes%5Cfrac%7B1%7D%7B4%7D)
Taking LCM for 5, 6, 8, we get LCM = 120
![(\frac{6}{5}+\frac{7}{6}+\frac{7}{8})\times\frac{1}{4}=(\frac{144}{120}+\frac{140}{120}+\frac{105}{120})\times\frac{1}{4}](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B5%7D%2B%5Cfrac%7B7%7D%7B6%7D%2B%5Cfrac%7B7%7D%7B8%7D%29%5Ctimes%5Cfrac%7B1%7D%7B4%7D%3D%28%5Cfrac%7B144%7D%7B120%7D%2B%5Cfrac%7B140%7D%7B120%7D%2B%5Cfrac%7B105%7D%7B120%7D%29%5Ctimes%5Cfrac%7B1%7D%7B4%7D)
![=(\frac{389}{120})\times\frac{1}{4}](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B389%7D%7B120%7D%29%5Ctimes%5Cfrac%7B1%7D%7B4%7D)
![=\frac{389}{480}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B389%7D%7B480%7D)
Hence, Mark will have
gallons of paint left after painting the mural.
Y=mx+b is the slope formula
Answer:
First solve the equation:
6x^2 + 8x -28 = 2x^2 + 4
=> 6x^2 - 2x^2 + 8x - 28 -4 = 0 => 4x^2 + 8x - 32 = 0
Extract common factor 4:
=> 4[x^2 + 2x - 8] = 0
Now factor the polynomial:
4(x + 4) (x - 2) = 0
=> the solutions are x + 4 = 0 => x = -4, and x - 2 = 0 => x = 2.
So the answer is the option B: 4(x + 4)(x - 2); {-4, 2}
HOPE THIS HELPS! :D
Answer:
First option: ![13 \sqrt{2}](https://tex.z-dn.net/?f=13%20%5Csqrt%7B2%7D%20)
Step-by-step explanation:
![cosθ = \frac{adj}{hyp}](https://tex.z-dn.net/?f=cos%CE%B8%20%3D%20%20%5Cfrac%7Badj%7D%7Bhyp%7D%20)
![cos45° = \frac{13}{y}](https://tex.z-dn.net/?f=cos45%C2%B0%20%3D%20%20%5Cfrac%7B13%7D%7By%7D%20)
Multiply both sides by y:
![y(cos45°) = 13](https://tex.z-dn.net/?f=y%28cos45%C2%B0%29%20%3D%2013)
![y ( \frac{ \sqrt{2} }{2} ) = 13](https://tex.z-dn.net/?f=y%20%28%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B2%7D%20%29%20%3D%2013)
![y = 13 \div \frac{ \sqrt{2} }{2}](https://tex.z-dn.net/?f=y%20%3D%2013%20%5Cdiv%20%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B2%7D%20)
![y = 13 \times \frac{2}{ \sqrt{2} }](https://tex.z-dn.net/?f=y%20%3D%2013%20%5Ctimes%20%20%5Cfrac%7B2%7D%7B%20%5Csqrt%7B2%7D%20%7D%20)
![y = \frac{26}{ \sqrt{2} } ( \frac{ \sqrt{2} }{ \sqrt{2} } )](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B26%7D%7B%20%5Csqrt%7B2%7D%20%7D%20%28%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B%20%5Csqrt%7B2%7D%20%7D%20%29)
![y = \frac{26 \sqrt{2} }{2}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B26%20%5Csqrt%7B2%7D%20%7D%7B2%7D%20)
![y = 13 \sqrt{2}](https://tex.z-dn.net/?f=y%20%3D%2013%20%5Csqrt%7B2%7D%20)