Examkin

Soru

Zorluk: ZorBasic Algebraic Expressions and One-Step Equations

A custom bicycle workshop builds specialized cargo bikes. The total frame assembly weight, WW pounds, is determined by adding a fixed base frame weight of ff pounds to the weight of nn reinforced structural struts, where each strut weighs 2.4 pounds. For a cargo bike configured with 5 structural struts, the total frame assembly weight is 26.0 pounds. Which of the following one-step linear equations can be solved to find ff, the weight in pounds of the fixed base frame?

  1. f+12.0=26.0f + 12.0 = 26.0Cevap
  2. B
    f−12.0=26.0f - 12.0 = 26.0
  3. C
    12.0f=26.012.0f = 26.0
  4. D
    f+7.4=26.0f + 7.4 = 26.0
  5. E
    f12.0=26.0\frac{f}{12.0} = 26.0

Cevap

The equation f+12.0=26.0f + 12.0 = 26.0 correctly models the scenario and can be solved to find the base frame weight ff.
The total frame assembly weight is the sum of the fixed base frame weight ff and the total weight of the struts. Since there are 5 struts weighing 2.4 pounds each, their combined weight is 5×2.4=12.05 \times 2.4 = 12.0 pounds. Adding this to the base frame weight ff gives the total weight of 26.0 pounds, represented by the equation f+12.0=26.0f + 12.0 = 26.0.

Adım Adım Çözüm

1
Calculate the total weight contributed by the structural struts.
Weight of struts = 5×2.4=12.05 \times 2.4 = 12.0 pounds.
Each of the 5 struts weighs 2.4 pounds, so multiplication gives their total combined weight.
2
Set up the linear relationship for total frame assembly weight.
Total weight = Base frame weight + Struts weight, which gives f+12.0=26.0f + 12.0 = 26.0.
The total assembly weight (26.0 pounds) is the sum of the fixed base frame weight (ff) and the struts weight (12.0 pounds).

Anahtar Kavram

Translating verbal context into a one-step linear equation
Tahmini Süre:1m 30s
Bu soruyu puanla

Konular

Basic Algebraic Expressions and One-Step Equations

Bu konudan daha fazla soru