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AysviL [449]
3 years ago
7

The garden view hotel is seventeen less than twice the height of the plaza hotel. If their combined height is 361 feet, how tall

is the gardenview hotel?
Mathematics
1 answer:
lisov135 [29]3 years ago
3 0

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

   of 2 × y and 17

∴ 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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3 years ago
What is the value of x? Round your answer to the nearest tenth if necessary.
katen-ka-za [31]

So to start off:

The equation you will want to use for the hypotenuse is

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So you will want to fill in the equation like so:

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So now that you have your information filled out, put it all together!

49 + 16 = 65

Now don't forget that the 65 is SQUARED!

You will want to use the SQUARE ROOT method to help with that!

So what you will want to do is think of the numbers that are PERFECT SQUARES.

A perfect square consist of

Here is the list of perfect squares 1-10:

1 x 1 = 1

2 x 2 = 4

3 x 3 = 9

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So look closely at these perfect squares, Do you see where 65 will lie?

It will lie between 8 and 9.

So you will do the square root now.

√65

The answer will come out as:

<span>8.06225775</span>

<span>You will then round it to the nearest tenths place (one after the decimal)</span>

You will look at the two numbers behind the decimal which is

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As you know,(If you round the tenths place), if the number in the hundredths is 5 or HIGHER. It will round up the number in the tenths place to 1.

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I hope this helped! :)

>^.^<

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3 0
3 years ago
Read 2 more answers
If x = -2 and y = 3, by how much does 2y2 - x exceed 2x2 - y?
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Yes it does, to find this insert the values of x and y into the equation.
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4 years ago
Once his parachute is open, a skydiver descends at a rate of 25 feet per second. 90 seconds after the parachute opens, his altit
ss7ja [257]

Using the information given and linear function concepts, it is found that:

  • a) The equation is: y(t) = -25t + 5000.
  • b) The skydiver’s altitude after the parachute has been open for 2 minutes is of 2000 feet.
  • c) It takes 200 seconds for the skydiver to reach the ground.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y(t) = mt + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when t changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

Item a:

  • The skydiver descends at a rate of 25 feet per second, hence m = -25.

Then:

y(t) = -25t + b

<u>90 seconds after the parachute opens, his altitude is 2750 feet</u>, which means that when t = 90, y = 2750, which is used to find b. Then:

2750 = -25(90) + b

b = 5000

Hence, the equation is:

y(t) = -25t + 5000.

Item b:

Time is in seconds, hence, this is y(120).

y(120) = -25(120) + 5000 = 2000

The skydiver’s altitude after the parachute has been open for 2 minutes is of 2000 feet.

Item c:

The time it takes to reach the ground is t for which y(t) = 0, hence:

-25t + 5000 = 0

25t = 5000

t = \frac{5000}{25}

t = 200

It takes 200 seconds for the skydiver to reach the ground.

You can learn more about linear functions at brainly.com/question/26065573

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