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AlladinOne [14]
2 years ago
5

Help someone out pls!

Mathematics
1 answer:
likoan [24]2 years ago
6 0

Answer: the answer is D

Step-by-step explanation:V = pi (d/2)^2  *  h

V =  pi  (d^2  / 4)   * h

 h =  4V  /  ( pi  * d^2)       (meters) 

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Two families stayed at the same hotel in identical rooms. The first family stayed for 5 nights and paid extra to use a rollaway
Vesna [10]

Part A: The system of equations that can be used is

5h + 2b = 413

3h + b = 243

Part B: The cost per night of renting a room is $73 and the cost per night using a roll away bed is $24

Step-by-step explanation:

Two families stayed at the same hotel in identical rooms

  • The first family stayed for 5 nights and paid extra to use a roll away bed for 2 of the nights.
  • Their total bill was $413
  • The second family stayed for 3 nights and used a roll away bed for 1 night.
  • Their total bill was $243

We need to write a system of equations that can be used to find, h, the cost per night of renting a room at the hotel, and b, the cost per night of using a roll away bed at the hotel and find the values of h and b using the elimination method

Part A:

∵ The first family stayed for 5 nights

∵ The cost of the renting room per night is $h

∴ The cost of the five nights = 5h

∵ The first family paid extra to use a roll away bed for 2 of the nights

∵ The cost of the roll away bed per night is $b

∴ The cost of the two nights = 2b

∵ Their total bill was $413

∴ 5h + 2b = 413 ⇒ (1)

∵ The second family stayed for 3 nights

∵ The cost of the renting room per night is $h

∴ The cost of the five nights = 3h

∵ The first family paid extra to use a roll away bed for 1 of the night

∵ The cost of the roll away bed per night is $b

∴ The cost of the two nights = b

∵ Their total bill was $243

∴ 3h + b = 243 ⇒ (2)

The system of equations that can be used is

5h + 2b = 413

3h + b = 243

Bart B:

∵ 5h + 2b = 413 ⇒ (1)

∵ 3h + b = 243 ⇒ (2)

- Multiply equation (2) by -2 to eliminate b

∴ -6h - 2b = -486 ⇒ (3)

- Add equations (1) and (3)

∴ -h = -73

- Multiply both sides by -1

∴ h = 73

Substitute the value of h in equations (1) or (2) to find b

∵ 3(73) + b = 243

∴ 219 + b = 243

- Subtract 219 from both sides

∴ b = 24

The cost per night of renting a room is $73 and the cost per night using a roll away bed is $24

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

7 0
3 years ago
Determine the slope given the following information:
Brrunno [24]

Answer

4/1

Explanation step by step

4-(-4)/2-0

8/2

4/1

8 0
3 years ago
Simplify 27x^7y^2/9x^6y^5
solmaris [256]

Answer: x/y^3

Step-by-step explanation:

So you divide 27/9 which is 3. Then it ix x^7-x^6=x. And then it is y^2-y^5=y3

27*x*x*x*x*x*x*x*y*y/9*x*x*x*x*x*x*y*y*y*y*y

Doing this makes it easier so you cross each variable out for each one in both sides. 3x/y^3 would be your answer.

7 0
3 years ago
A good will do one of both of which two things select two answers
goldfiish [28.3K]
WUT?
MARK ME BRAINLEST
3 0
3 years ago
0.2(x + 1) + 0.5x = -0.3(x - 4)?
andreyandreev [35.5K]

Answer:

x=1.....................

7 0
3 years ago
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