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Difficulty: MediumBasic Algebraic Expressions and One-Step Equations

An electric vehicle charging hub has a total power output of 480480 kilowatts (kW). The total power output is equal to 44 times the power output, pp, of a single ultra-fast charging stall. What is the value of pp, in kilowatts?

  1. 120Answer
  2. B
    476
  3. C
    484
  4. D
    960
  5. E
    1,920

Answer

The power output of a single ultra-fast charging stall is 120 kilowatts.
Translating the verbal relationship into an equation gives 4p=4804p = 480. Dividing both sides of the equation by 4 isolates pp, giving p=120p = 120 kilowatts.

Step-by-Step Solution

1
Set up the algebraic equation based on the problem statement.
4p=4804p = 480
The problem states that 4 times the power output of a single stall, pp, equals the total power output of 480 kW.
2
Isolate the variable pp by applying the inverse operation.
p=4804p = \frac{480}{4}
To solve for pp, divide both sides of the equation by 4.
3
Calculate the final numerical value.
p=120p = 120
Dividing 480 by 4 yields 120.

Key Concept

Solving One-Step Multiplication Equations
Estimated Time:1m 0s
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Topics

Basic Algebraic Expressions and One-Step Equations

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