3.In step 1, you found the volume (in cubic feet) of the main tank. If the maximum density of killer whales per cubic foot is 0.000011142, what is the maximum number of killer whales allowed in the main show tank at any given time? You must explain your answer using words, and you must show all work and calculations to receive credit.
D=m/v
x/359189
x/359189≤0.000011142
x≤359189×0.000011142
x≤4.002083838
Here is my work; can someone please help me form my calculations into words?
Updated work:
M=dv
v=359,189
d=0.000011142
m≤359189×0.000011142
m≤4.002083838
Since we already know the density and volume of the tank, we need to find the mass. The formula to find the mass of an object is density time volume. When you multiply the density by the volume, you get 4.002083838... Which means the maximum amount of whales that can fit in this tank at any given time is 4.
To find the maximum number of killer whales allowed in the main show tank at any given time, we use the formula D = m/v, where D represents the density, m represents the mass, and v represents the volume.
First, we calculate the volume of the main tank, which is expressed in cubic feet. However, this value is not provided in the question, so we need to go back to step 1 of the problem to find it. After calculating the volume, we obtain the value 359189 cubic feet.
Next, we have the given maximum density of killer whales per cubic foot, which is 0.000011142.
To find the maximum number of killer whales allowed, we set up the inequality x/359189 ≤ 0.000011142, where x represents the maximum number of killer whales.
Multiplying both sides of the inequality by 359189, we get:
x ≤ 359189 × 0.000011142
Evaluating this expression, we find:
x ≤ 4.002083838
Therefore, the maximum number of killer whales allowed in the main show tank at any given time is 4 (since we cannot have fractional whales).
To find the maximum number of killer whales allowed in the main show tank at any given time, we need to consider the maximum density of killer whales per cubic foot, which is given as 0.000011142.
First, we calculate the volume of the main tank as 359189 cubic feet. Then, we use the formula D = m/v, where D represents density, m represents the number of killer whales, and v represents the volume of the tank. Rearranging the formula, we have m = D * v.
Substituting the given values, we have:
m = 0.000011142 * 359189
Calculating this, we find that the maximum number of killer whales allowed in the main show tank at any given time is approximately 4.0021 (rounded to four decimal places).
Therefore, the maximum number of killer whales allowed in the main show tank is 4.0021.