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xenn [34]
3 years ago
15

Find the geometric mean of 2 and 72

Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
7 0

Answer:

2*72=144

square root of 144 is 12

Step-by-step explanation:

The geometric mean of 2 and 72 is the square root of their product, or 12

Sergeeva-Olga [200]3 years ago
6 0

Answer:

2*72=144

Step-by-step explanation:

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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
What is the area of circle? Show work !!!
Serjik [45]

Answer:

 =615.44 m^2

Step-by-step explanation:

The area of the circle is given by

A = pi r^2

   = pi (14)^2

   = (3.14) 14^2

   =615.44 m^2

6 0
3 years ago
What is the length of a rectangle whose perimeter is 38 cm and its weight is 9 cm​
Tanzania [10]

Answer:

The length of the rectangle is 29 cm.

Step-by-step explanation:

38 - 9 = 29

8 0
3 years ago
What are the factors of 9a-3
yulyashka [42]

Answer:

9, -3

Step-by-step explanation:

7 0
3 years ago
1.70f+1.30s=37.90, 5.60f+5.40=147.20
melomori [17]

f= <span><span>−<span>0.764706s</span></span>+22.294118</span>

<span>f= <span>25.321429</span></span>

7 0
3 years ago
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