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Katarina [22]
3 years ago
7

10m3 of air weigh 13 kg.

Mathematics
1 answer:
sleet_krkn [62]3 years ago
3 0

The constant of variation is 1.3 kg per m³

Step-by-step explanation:

Direct variation is when one variable is equal to a constant times

another variable, with no additions or subtractions alongside

If y is directly proportional with x, then

  • y ∝ x
  • y = k x, where k is the constant of variation
  • The graph of the variation is a line passes through the origin

∵ The weight of air is directly proportional to its volume

∴ The weight (w) ∝ the volume (v)

∴ w = k v

∵ w = 13 kg

∵ v = 10 m³

- Substitute these values in the rule of variation above to find k

∴ 13 = k (10)

∴ 13 = 10 k

- Divide both sides by 10

∴ k = 1.3

The constant of variation is 1.3 kg per m³

Learn more:

You can learn more about direct and inverse proportion in brainly.com/question/10708697

#LearnwithBrainly

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Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1900. What was the rate charged per hour by each mechanic if the sum of the two rates was $155 per hour?

Solution

Let

x= hourly rate of the first mechanic

y= hourly rate of the second mechanic

Derive two equations to solve for the two unknowns

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From (2)

x + y = 155

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Substitute x=155-y into (1)

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