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gizmo_the_mogwai [7]
4 years ago
11

Solve for x. Express the answer in simplest form. 2/1 = 8z -2/9

Mathematics
1 answer:
aleksandr82 [10.1K]4 years ago
6 0
5/18 or in dec .27777777
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The garden view hotel is seventeen less than twice the height of the plaza hotel. If their combined height is 361 feet, how tall
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The garden view hotel is 235 feet tall

Step-by-step explanation:

The given is:

  • The garden view hotel is seventeen less than twice the height of the plaza hotel
  • Their combined height is 361 feet

We need to find the height of the garden view hotel

Assume that the height of garden view hotel is x feet and the height of the plaza hotel is y feet

∵ The height of the garden view hotel = x feet

∵ The height of the plaza hotel = y feet

∵ The height of the garden view hotel is 17 less than twice the

    height of the plaza hotel

- That means x is less than 2 × y by 17, equate x by the difference

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∴ x = 2y - 17 ⇒ (1)

∵ Their combined height = 361 feet

∴ x + y = 361

- Find y in terms of x by subtraction x from both sides

∴ y = 361 - x ⇒ (2)

Substitute y in equation (1) by equation (2)

∵ x = 2(361 - x) - 17

- Simplify the right hand side

∴ x = 722 - 2x - 17

- Add like terms

∴ x = 705 - 2x

- Add 2x to both sides

∴ 3x = 705

- Divide both sides by 3

∴ x = 235

The garden view hotel is 235 feet tall

Learn more:

You can learn more about the word problems in brainly.com/question/13174281

#LearnwithBrainly

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