Answer:
The total flow in gallons is approximately 16.524 gallons
Step-by-step explanation:
The given diameter of the tank, D = 18 inches
The amount by which the water depth rose, Δh = 15 inches
The quantity being measured = The total flow = The change in volume of water in the tank
The change in the volume of the water in the tank, ΔV = (π × D²/4) × Δh
Substituting the known values, gives;
ΔV = (π × D²/4) × Δh = (π × (18 in.)²/4) × (15 in.) ≈ 3817.035 in.³
1 gallon = 231 in.³
ΔV ≈ 3817.035 in.³ = 3817.035 in.³ × 1 gallon/(231 in.³) ≈ 16.524 gallons
The change in the volume of the water in the tank, ΔV in gallons = The total flow in gallons ≈ 16.524 gallons.
Answer:
your answer would be 16
Step-by-step explanation:
Answer:
f(x) = 2x + 22, The slope is 2/1
Step-by-step explanation:
Start by combining common terms.
For example, you can't combine 2x and 5, because 2 is being multiplied by a variable.
So, take the x value: 2x
And the numerical values: 22
And combine them: f(x) = 2x + 22
This means, that you start at 22 on the y-axis and slope the line by 2/1. That means that, on a graph, the line goes up 2 points, then one point to the right.
Answer:
30 ml of 45% salt solution and 20 ml of 30% salt solution.
Step-by-step explanation:
Let x be the amount of 45% salt solution and y be the amount of 30% salt solution
the two equation will be:
x+y=60 -- A
0.45x+0.3y=0.4(60) -- B
Solve by substitution
Rewrite Equation A
x+y=60
x=60-y --- C
Substitute C into B
0.45(60-y)+0.3y=24
27-0.45y+0.3y=24
-0.15y=-3
y=20
<u>Substitute</u> the y=20 into equation C
x=60-20
x=30
Therefore, there was 30 ml of 45% salt solution and 20 ml of 30% salt solution.
Answer:
2/7
Step-by-step explanation:
For the president position, there are 4 females from a total of 7 people.
For the vice president position, there are 3 males from 6 people left over.
So the probability is 4/7 × 3/6 = 2/7.
