Answer: ![\bold{\dfrac{16}{33} = 48\%}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cdfrac%7B16%7D%7B33%7D%20%3D%2048%5C%25%7D)
<u>Step-by-step explanation:</u>
Red or Green
![=\dfrac{red}{total}+\dfrac{green}{total}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7Bred%7D%7Btotal%7D%2B%5Cdfrac%7Bgreen%7D%7Btotal%7D)
![=\dfrac{9}{33}+\dfrac{7}{33}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B9%7D%7B33%7D%2B%5Cdfrac%7B7%7D%7B33%7D)
![=\dfrac{16}{33}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B16%7D%7B33%7D)
≈ 48%
If my mom does not have to work, then i do not have to babysit my little sister
Answer:
The answer is below
Step-by-step explanation:
12 inches = 1 ft.
6 inches = 6 inches * (1 ft./12 inches) = 0.5 ft.
Therefore the diameter of the cast iron (D) = 6 inches = 0.5 ft.
The area of cast iron (A) = πD²/4 = π(0.5)²/4 = 0.196 ft²
The velocity (V) = 6 ft./s, the acceleration due to gravity (g) = 32.2 ft./s²
ε/D = 0.0004 ft./ 0.5 ft. = 0.0008
Using the moody chart, find the line ε/D = 0.0008 and determine the point of intersection with the vertical line R = 2.7 * 10⁵. Hence we get f = 0.02.
The head loss (h) is:
![h_f=f*\frac{L}{d}* \frac{V^2}{2g}=0.02*\frac{200\ ft}{0.5\ ft} *\frac{(6\ ft/s)^2}{2*32.2\ ft/s^2}=4.5\ ft](https://tex.z-dn.net/?f=h_f%3Df%2A%5Cfrac%7BL%7D%7Bd%7D%2A%20%5Cfrac%7BV%5E2%7D%7B2g%7D%3D0.02%2A%5Cfrac%7B200%5C%20ft%7D%7B0.5%5C%20ft%7D%20%2A%5Cfrac%7B%286%5C%20ft%2Fs%29%5E2%7D%7B2%2A32.2%5C%20ft%2Fs%5E2%7D%3D4.5%5C%20ft)
The pressure drop (Δp) is:
Δp = ρg
= ![(62.4\ lbf/ft^3)(4.5\ ft)= 280\ lbf/ft^2](https://tex.z-dn.net/?f=%2862.4%5C%20lbf%2Fft%5E3%29%284.5%5C%20ft%29%3D%20280%5C%20lbf%2Fft%5E2)
Answer:
![v=\frac{48}{5}=9\frac{3}{5} \\](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B48%7D%7B5%7D%3D9%5Cfrac%7B3%7D%7B5%7D%20%5C%5C%20)
Step-by-step explanation:
![\frac{8}{5}=\frac{v}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B5%7D%3D%5Cfrac%7Bv%7D%7B6%7D)
Swap sides:
![\frac{v}{6}=\frac{8}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bv%7D%7B6%7D%3D%5Cfrac%7B8%7D%7B5%7D)
Multiply to both sides by 6:
![\frac{v}{6}\cdot6=\frac{8}{5}\cdot6](https://tex.z-dn.net/?f=%5Cfrac%7Bv%7D%7B6%7D%5Ccdot6%3D%5Cfrac%7B8%7D%7B5%7D%5Ccdot6)
Group like terms:
![\frac{1}{6}\cdot6v=\frac{8}{5}\cdot6](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D%5Ccdot6v%3D%5Cfrac%7B8%7D%7B5%7D%5Ccdot6)
Simplify the fraction:
![v=\frac{8}{5}\cdot6](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B8%7D%7B5%7D%5Ccdot6)
Multiply the fractions
![v=\frac{8\cdot6}{5}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B8%5Ccdot6%7D%7B5%7D)
Simplify the arithmetic:
![v=\frac{48}{5}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B48%7D%7B5%7D)