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Zorluk: OrtaBasic Algebraic Expressions and One-Step Equations

A solar power facility generates a total of EE kilowatt-hours (kWh) of electricity on a sunny day. This energy is distributed equally into 1616 identical utility-scale battery units, resulting in exactly 425 kWh425\text{ kWh} stored per unit. Which of the following equations can be solved to find EE?

  1. E16=425\frac{E}{16} = 425Cevap
  2. B
    16E=42516E = 425
  3. C
    E16=425E - 16 = 425
  4. D
    E+16=425E + 16 = 425
  5. E
    16E=425\frac{16}{E} = 425

Cevap

The equation E16=425\frac{E}{16} = 425 correctly models the relationship.
Because the total energy EE is divided equally among 1616 units, the amount per unit is given by E16\frac{E}{16}. Setting this equal to 425425 yields the correct equation E16=425\frac{E}{16} = 425.

Adım Adım Çözüm

1
Identify the relationship between total quantity, number of groups, and quantity per group.
Total energy EE divided by the 1616 identical units equals the energy per unit (425 kWh425\text{ kWh}).
Equal sharing or distribution corresponds to division in algebraic expressions.
2
Write the one-step algebraic equation reflecting this relationship.
E16=425\frac{E}{16} = 425
This sets the quotient of total energy and number of units equal to the single unit amount.

Anahtar Kavram

Formulating one-step division equations from equal distribution scenarios
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