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Alina [70]
3 years ago
12

_

Mathematics
1 answer:
QveST [7]3 years ago
6 0

Answer:

Step-by-step explanation:

Let x represent the number of calls made with plan 1 in a month.

Let y represent the number of calls made with plan 2 in a month.

Plan 1 charges $25 per month for unlimited calls. This means that the total cost of x calls made with plan 1 in a month would be $25

Plan 2 charges $15 per month plus $0.04 per call. This means that the total cost of x calls made with plan 1 in a month would be

15 + 0.04x

a) for the number of calls for which Plan 1 is more economical than Plan B, it becomes

25 < 15 + 0.04x

25 - 15 < 0.04x

10 < 0.04x

0.04x > 10

x > 10/0.04

x > 250

b) plan 1 would be more economical when the calls per month exceed 250.

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Answer:

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Step-by-step explanation:

A) The angular velocity is the ratio of angular distance to time:

  ω = 1 revolution / (0.25 s) = (2π radians)/(0.25 s)

  ω = 8π radians/second

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B) The arc length is ...

  s = rθ = rωt

  s = (35 cm)(8π rad/s)(60 s) = 16,800π cm

  s ≈ 52779 cm = 527.79 m

The wheel travels about 527.8 meters in one minute.

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Solve for x. 5 1/2 ≥ 1.6x<br> x ≥3 7/16<br> x ≤ 3 7/16<br> x ≥ 8 4/5<br> x ≤ 8 4/5
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Answer:

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6 miles.

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The hour at which he leaves his house.

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Then he rides 3 miles from his house to his friend's house, and another 3 miles from his friend's house to his house.

So he rides 3 miles both times, if we add that, we get:

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How many miles does he ride his bike there and back?

6 miles.

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