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MariettaO [177]
4 years ago
13

How many three-letter sequences are possible that use the letters q,u,a,k,e,s at most once each?

Mathematics
1 answer:
Angelina_Jolie [31]4 years ago
8 0
6P3 => 6!/(6-3)! = 120.

I can't very well explain, but I hope it works.
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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
lisov135 [29]

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

3 0
3 years ago
What is 1.8-9.0 = help me plz
Andrews [41]
The answer is -7.2 and -36/5 hope this helps
3 0
4 years ago
Read 2 more answers
If Benito earns $187.50 for 12.5 hours of work, how many hours must he work to earn $465.00?
EastWind [94]

divide 187.50 by 12.5 to find hourly rate

187.50/12.50 = 15 dollars per hour

now divide 465 by 15 for number of hours

465/15 = 31 hours

 double check by multiplying 31 by 15 ( 31 x 15 = 465)

6 0
3 years ago
Read 2 more answers
Why does 0.25 x 0.4 only has one decimal point in the product?
dusya [7]
Well because only one is needed cause the answer is 0.1 
7 0
4 years ago
Read 2 more answers
Please helppp with this questions
SpyIntel [72]

Answer:

Sorry for the wait.

Step-by-step explanation:

5. the two bottom angles are the same btw

2x+2x+x-15=180\\5x-15=180\\5x-15+15=180+15\\5x=195\\5x/5=195/5\\x=39

6. straight lines are 180

3x+17+x-9=180\\4x+8=180\\4x+8-8=180-8\\4x=172\\4x/4=172/4\\x=43

7. another 180

2x-4+3x+5+2x+11=180\\7x-10=180\\7x-10+10=180+10\\7x=190\\7x/7=190/7\\x=27.14\\

8. 90 degree angle

x+x+4+3x-9=90\\5x-5=90\\5x-5+5=90+5\\5x=95\\5x/5=95/5\\x=19

5 0
3 years ago
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