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Galina-37 [17]
3 years ago
11

Michael is packing his bags for his vacation. He has 6 unique books, but only 4 fit in his bag. How many different groups of 4 b

ooks can he take?
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0

Answer:

15

Step-by-step explanation:

Michael has 6 unique books, but 4 not-unique slots. Since the slot is not unique, the orders you pick the 4 books are not important. When order important you use permutation but since the order is not important you use the combination. The calculation will be:

6C4 = \frac{6!}{6!(6-4)!} = 15

There are 15 ways to group the 4 books.

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What is the slope of a line that passes through the point (-3,0) and has a y-intercept of 12
Trava [24]

The slope of a line that passes through the point (-3,0) and has a y-intercept of 12 is 4.

<h3>How to find the slope of a line?</h3>

Using the point slope equation,

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore, using (-3, 0)

0 = -3m + 12

-12 = -3m

divide both sides by -3

m = -12 / -3

m = 4

learn more on slope here: brainly.com/question/17130155

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7 0
2 years ago
PLEASE HELP IT'S DUE IN 15 MINUTES!! WILL GIVE BRAINLIEST!!!!
Anna71 [15]
The answer would be 3x+2=10x-5
6 0
3 years ago
If you place a 24-foot ladder against the top of a 22-foot building, how many feet will the bottom of the ladder be from the bot
Naddika [18.5K]

Answer:

9.6

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

Plug in the knowns

a² + 22² = 24²

Subtract 22² from both sides

a² = 24² - 22²

a² = 576 - 484

a² = 92

Take the square root of both sides

a = 9.591663046625438

Rounded

a = 9.6 ft

8 0
3 years ago
Read 2 more answers
Find the quotient of the quantity negative 6 times x to the 2nd power times y to the 8th power plus 12 times x times y to the 3r
olga nikolaevna [1]
[ - 6 * x^2 * y^8 + 12*  x * y^3 - 36 * x * y^2 ] / [6*x*y^2] =

[-6x^2 y^8 ] / [6xy^2] + [12x y^3] / [6xy^2] - [36xy^2] / [6xy^2] =

- xy^6 + 2y - 6

Answer: - xy^6 + 2y - 6

6 0
3 years ago
Read 2 more answers
2 Richard and Jason each begin filling pools at the same time.
alina1380 [7]

The quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.

<h3>What are gallons?</h3>

A gallon is a British unit which is used for the measurement of liquids that is equal to eight pints. In Britain, it is equal to about 4.546 litres. In America, it is equal to about 3.785 litres.

It is given in the question that:-

Richard fills his pool at a rate of 6 gallons per minute.

Jason's pool already contains 200 gallons, and he fills it at a rate of 2 gallons per minute.

After 20 minutes the amount of liquid in the tank will be:-

For Richard = 6 gallons per minute. x  20  minutes= 120 gallons

For Jason= 2 gallons per minute  x  20  =40 gallons

Jason has 200 gallons already in the tank

So it will become = 200+24=240 gallons.

Hence  quantity of the liquid in Richard's tank after 20 minutes will be 120 gallons and in Jason's tank will be 240 gallons.

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7 0
2 years ago
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