Answer:
50 minutes
Explanation:
We can set this up as a rate * time = distance problem. We can set the rate at which Amanda travels to work to be x, since that quantity is unknown. The time it takes is given to be 60 minutes. This means that the total distance she travels to get to work is 60x. On the other hand, the way back home has more unknown quantities. The exact rate is unknown, but we do know that it is 20% more than the rate at which Amanda travels to work. This means that the rate is x + .20x, or 1.2x. We can set the time to be y, which means the total distance she travels to get back home is 1.2xy. We are told that Amanda uses the same route to get to and from work, which means 60x = 1.2xy. All we have to do now is solve this equation:
If we divide through by x and then isolate y, we get that it takes Amanda 50 minutes to get home
Answer:
18 + 81 = 9(x² + 6x + 9) 11 = (x + 3)²
Explanation:
because This is the value that completes the square. However, since the entire square is multiplied by 9, this value must be multiplied by 9 before we can add it across the equals:
18 + 9 (9) = 9 (x² + 6x + 9)
18 + 81 = 9 (x² + 6x + 9)
99 = 9 (x² + 6x + 9)
Dividing both sides by 9, we have:
11 = x² + 6x + 9
11 = (x + 3) ²
The number of electrons passes through 20 ohms resistor in 10 minutes is 5.625e+21.
<h3>What is a resistor?</h3>
In an electronic circuit, a resistor is an electrical component that limits or regulates the flow of electrical current.
Given, the resistance is 20 ohms.
The potential difference is 30 volts
Time is 10 minute
By the formula of current
The charge flowing through the resistor is 1.5 C/s
1 electron charge is 1.6e+19
Now, the number of electrons passing through a 20 ohms resistor is
In 10 minutes
Thus, the number of electrons passes through 20 ohms resistor in 10 minutes is 5.625e+21.
Learn more about a resistor
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