A single rose sells for 50 cents, so buying two will cost $1 (50 cents multiplied by 2).
With 2 roses per dollar, spending $20 allows for the purchase of 40 roses.
They make $6 profit on $20 sales, which means they spend $14 on the 40 roses ($20 minus $6).
Dividing $14 by 40 roses gives a cost of $0.35 per rose.
Therefore, the vendor pays 35 cents for each rose.
The solution's average current density is 1 ampere per square decimeter.
We need to convert this value to ampere per square meter.
Since 1 decimeter equals
meters,
squaring gives us:
1 square decimeter equals
square meters.
Hence, the current density now is
.
Therefore, the current density of the electrolyte solution is 100 amperes per square meter.
Answer:
8% likelihood that Anthony may soon join the Acme golf team
Step-by-step explanation:
The probabilities are as follows:
10% chance of being hired by the corporation.
If hired, an 80% probability of making the golf team is expected.
Given this information, we can calculate the probability of Anthony soon playing on the Acme golf team as:
80% of 10%
Thus
P = 0.8*0.1 = 0.08
8% chance that Anthony will soon be part of the Acme golf team
<span>5.7 liters of a 5% solution combined with 4.3 liters of a 40% solution.
To begin, define the problem with formulas.
x Represents the liters of the 5% solution utilized.
10-x Represents the liters of the 40% solution used.
This forms an equation: 5% of x plus 40% of (10-x) equals 20% of 10.
0.05x + 0.40(10-x) = 0.20 * 10
Now, distribute the 0.40 coefficient.
0.05x + 4.0 - 0.40x = 0.20 * 10
Next, combine the terms.
4.0 - 0.35x = 2.0
Add 0.35x to each side.
4.0 = 2.0 + 0.35x
Subtract 2 from both sides.
2.0 = 0.35x
Lastly, divide both sides by 0.35.
5.7 = x
Thus, 5.7 liters of a 5% solution is required. To determine the volume of the 40% solution, subtract from 10.
10.0 - 5.7 = 4.3</span>
The attached graph illustrates the region. The centroid's coordinates are (5/3, 1). The centroid's coordinates are determined by averaging the coordinates of the area; Oₓ = (Aₓ+Bₓ+Cₓ)/3 = (0+1+4)/3 = 5/3 and O(y) = (A(y) + B(y) + C(y)) = (0+3+0)/3=3/3=1.
