Approximately 2.81 × 1 0 21 electrons flow through the electric device when a current of 15.0 A flows for 30 seco n d s . This is calculated using the relation between current, charge, and the number of electrons. Each electron has a charge of approximately 1.6 × 1 0 − 19 C .
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To find out how many kilograms each dog weighs, let's define the weights of the dogs using algebra.
Let's denote the weight of each of the last three dogs as x . Since there are three of them and their total weight is 69 kg, we can write the equation:
3 x = 69
Solving for x , we get:
x = 3 69 = 23
Therefore, each of the last three dogs weighs 23 kg.
Now, let's consider the two dogs that together weigh 51 kg. Let one of them weigh y kg, and the other weigh y + 3 kg.
We can write the equation for their weights as:
y + ( y + 3 ) = 51
Simplifying, we have:
2 y + 3 = 51
2 y = 51 − 3 = 48
y = 2 48 = 24
So, the weights of the two dogs are 24 kg and 27 kg (since 24 + 3 = 27 ).
Finally, the first dog is known to weigh 8 kg more than any of the last three dogs, which weigh 23 kg each.
Therefore, the weight of the first dog is:
23 + 8 = 31
Now, we can summarize the weights of each dog:
First dog: 31 kg
Next two dogs: 24 kg and 27 kg
Last three dogs: 23 kg each
By logically breaking down the details, we have determined the weights of each dog in the sled team.