<span>The answer is 60.
Explanation<span>:
In mathematics, the word "of" indicates multiply. This means we would multiply 2/3 * 90.
We can write 90 as a fraction by putting it over 1, which gives us 2/3(90/1).
To multiply fractions, we multiply straight across: (2*90)/(3*1) = 180/3 = 60.</span></span>
Answer:
<h2>
0.0526ft/min</h2>
Step-by-step explanation:
Since the gravel being dumped is in the shape of a cone, we will use the formula for calculating the volume of a cone.
Volume of a cone V = πr²h/3
<em>If the diameter and the height are equal, then r = h</em>
V = πh²h/3
V = πh³/3
If the gravel is being dumped from a conveyor belt at a rate of 20 ft³/min, then dV/dt = 20ft³/min
Using chain rule to get the expression for dV/dt;
dV/dt = dV/dh * dh/dt
From the formula above, dV/dh = 3πh²/3
dV/dh = πh²
dV/dt = πh²dh/dt
20 = πh²dh/dt
To calculate how fast the height of the pile is increasing when the pile is 11 ft high, we will substitute h = 11 into the resulting expression and solve for dh/dt.
20 = π(11)²dh/dt
20 = 121πdh/dt
dh/dt = 20/121π
dh/dt = 20/380.133
dh/dt = 0.0526ft/min
This means that the height of the pile is increasing at 0.0526ft/min
Answer:
18d - 24c
Step-by-step explanation:
(see attached for reference)
6(3d - 4c) (use distributive property as per attached)
= 6(3d) - 6(4c)
= 18d - 24c (answer)
hope this helps
