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Sati [7]
3 years ago
12

A class trip to a ski resort has been planned for your senior trip. The mountain only allows skiing when the temperature is betw

een −10 degrees and 35 degrees. There is room for 38 people on your trip. Write the constraints to represent this real-world problem, where x is the temperature and y is the number of people on your trip.
−10 < x < 35 and 0 < y ≤ 38
x < 35 and y > −10
0 < x ≤ 38 and −10 < y < 35
x > −10 and y < 35
Mathematics
2 answers:
Lelu [443]3 years ago
8 0

Answer:

−10 < x < 35 and 0 < y ≤ 38

Step-by-step explanation:

Sophie [7]3 years ago
7 0

−10 < x < 35 and 0 < y ≤ 38

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Find the dimensions of the box described.
Rina8888 [55]

The dimensions of the box are 6 inches, 12 inches and 10 inches

Step-by-step explanation:

There is a box, with dimensions length, width and height

  • The length is twice as long as the width
  • The height is 4 inches greater than the width
  • The volume is 720 cubic inches

We need to find its dimensions

Assume that the width of the box is x

∵ The width of the box is x

∵ The length is twice as long as the width

- Twice means times 2

∴ The length of the box = 2(x) = 2x

∵ The height is 4 inches greater than the width

- 4 inches greater means add 4

∴ The height of the box = x + 4

∵ The volume of the box = length × width × height

∵ length = 2x , width = x , height = x + 4

∴ The volume of the box = (2x) × (x) × (x + 4)

∵ (2x) × (x) = 2x²

∵ 2x²(x + 4) = (2x²)(x) + (2x²)(4) = 2x³ + 8x²

∴ The volume of the box = 2x³ + 8x²

∵ The volume of the box is 720 inches³

∴ 2x³ + 8x = 720

- Subtract 720 from both sides

∴ 2x³ + 8x² - 720 = 0

- Use your calculator to solve the equation and find the value of x

∴ x = 6

∴ The width of the box = 6 inches

∴ The length of the box = 2(6) = 12 inches

∴ The height of the box = 6 + 4 = 10 inches

The dimensions of the box are 6 inches, 12 inches and 10 inches

Learn more:

You can learn more about volume in brainly.com/question/12497249

#LearnwithBrainly

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y = 200 * (0.75) ^x

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Answer:

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Step-by-step explanation:

20,000 x decimal multiplier

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20,000 x 1.0425 = 20850

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