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Liono4ka [1.6K]
2 years ago
13

The weight of an object on mars varies directly is proportional as the weight of the object on earth a 75 pound object on earth

weighs 25 pounds if an object weighs 120 pounds on earth how much does it weigh on mars
Mathematics
1 answer:
dedylja [7]2 years ago
5 0

Answer:

It weighs 40 pounds on mars

Step-by-step explanation:

Direct proportion is the relationship between two variables when their ratio is equal to a constant value

  • It can be expressed as y = k x, where y varies directly as x and k is constant of variation
  • It can be expressed as  \frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}=k

∵ The weight of an object on mars varies directly as the weight

    of the object on earth

∴ w(m) = k × w(e)

∵ The weight of the object on earth is 75 pound

∴ w(e) = 75

∵ The weight of this object on mars is 25 pounds

∴ w(m) = 25

- Substitute them in the equation of variation

∵ 25 = k × 75

- Divide both sides by 75

∴ \frac{1}{3} = k

∴ w(m) = \frac{1}{3} × w(e)

∵ An object weighs 120 pounds on earth

∴ w(e) = 120

- Substitute it in the equation of variation

∴ w(m) = \frac{1}{3} × 120

∴ w(m) = 40

∴ It weighs 40 pounds on mars

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