It would have to be four because 3/4*4 is 12/4 and that would leave 1/4 of a cup of baking soda left but you do a trial without 3/4 so the answer is 4
Answer:
x/10=-30/100 : -3
5/35 = 1/a : 7
2/x = 100/15 : .3
12/k = 4/1 : 3
2/8 = g/4 : 1
Step-by-step explanation:
Answer:
x = -8
Step-by-step explanation:
-2.5x - 2 = 18.
Add 2 to both sides.
-2.5x = 20.
Divide both sides by -2.5.
x = -8
Answer:
A.) 20x + 2y = 500
B.) y-intercept = 250; its meaning is how many boxes of pencils they started with.
C.) x-intercept = 25; How many T-shirts they can sell at most
Step-by-step explanation:
2y - 500 = -20x
20x + 2y - 500 = 0
20x + 2y = 500
y-intercept = 250; its meaning is how many boxes of pencils they started with.
20x + 2y = 500
20(0) + 2y = 500
2y = 500
2y/2 = 500/2
y = 250
x-intercept = 25; How many T-shirts they can sell at most
20x + 2y = 500
20x + 2(0) = 500
20x = 500
20x/20 = 500/20
x = 25
Answer:
791.68 cm/s
Step-by-step explanation:
The volume flow rate can be interpreted as the integral of fluid velocity over area
![\dot{V} = \int\limits^6_0 {v(r) 2\pi r} \, dr\\\dot{V} = 2\pi\int\limits^6_0 {(25-r^2)r} \, dr\\\dot{V} = 2\pi\int\limits^6_0 {25r-r^3} \, dr\\\\\dot{V} = 2\pi[12.5r^2 - r^4/4]_0^6\\\dot{V} = 2\pi(12.5*6^2 - 6^4/4 - 12.5*0 - 0)\\\dot{V} = 2\pi*126 = 791.68 cm/s](https://tex.z-dn.net/?f=%5Cdot%7BV%7D%20%3D%20%5Cint%5Climits%5E6_0%20%7Bv%28r%29%202%5Cpi%20r%7D%20%5C%2C%20dr%5C%5C%5Cdot%7BV%7D%20%3D%202%5Cpi%5Cint%5Climits%5E6_0%20%7B%2825-r%5E2%29r%7D%20%5C%2C%20dr%5C%5C%5Cdot%7BV%7D%20%3D%202%5Cpi%5Cint%5Climits%5E6_0%20%7B25r-r%5E3%7D%20%5C%2C%20dr%5C%5C%5C%5C%5Cdot%7BV%7D%20%3D%202%5Cpi%5B12.5r%5E2%20-%20r%5E4%2F4%5D_0%5E6%5C%5C%5Cdot%7BV%7D%20%3D%202%5Cpi%2812.5%2A6%5E2%20-%206%5E4%2F4%20-%2012.5%2A0%20-%200%29%5C%5C%5Cdot%7BV%7D%20%3D%202%5Cpi%2A126%20%3D%20791.68%20cm%2Fs)
