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Shtirlitz [24]
3 years ago
12

If y is directly proportional to x and y=5 when x=2, find the value of y when x =7​

Mathematics
1 answer:
Amanda [17]3 years ago
3 0

Answer:

y = 17.5

Step-by-step explanation:

y = kx

→ Substitute in the values

5 = 2k

→ Divide both sides by 2 to isolate k

k = 2.5

⇒ y = 2.5x

→ Substitute in x = 7

y = 2.5x ⇔ y = 2.5 × 7 ⇔ y = 17.5

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Ramiro was on a two day road trip.on the first day he drove at an average speed of 40 mph.on the second day he drove at an avera
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Considering the relationship between velocity, distance and time, it is found that the total distance traveled was of 380 miles.

<h3>What is the relationship between velocity, distance and time?</h3>

Velocity is <u>distance divided by time</u>, that is:

v = d/t.

For the first day, we have that:

v = 40, t = t + 2, d = d + 20, hence:

40 = (d + 20)/(t + 2)

For the second day, we have that:

v = 60

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Then, replacing in the first equation:

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60t + 20 = 40t + 80

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Then the distances are given by:

  • First day: d = 60t + 20 = 60 x 3 + 20 = 200 miles.
  • Second day: d = 60t = 60 x 3 = 180 miles.
  • Total: 200 miles + 180 miles = 380 miles.

More can be learned about the relationship between velocity, distance and time at brainly.com/question/28143163

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