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3 years ago

Small library contains 700 novels. how many ways can You check out three novels

Mathematics

1 answer:

schepotkina [342]3 years ago

8 0

The first book you select can be any one of 700.

. . . For each of those ...

The second book can be any one of the other 699.

. . . For each of those ...

The third book can be any one of the remining 698.

The total number of ways to gather three books from the shelves into your hands is (700 · 699 · 698) = 341,531,400 ways .

BUT ...

When you bring three books to the check-out counter, Marian the Librarian doesn't know in which order you took them down off the shelves. You could have gathered the same three books in (3 · 2 · 1) = 6 different ways.

So, even though there are 341,531,400 ways to gather up three books, there are only (341,531,400 / 6) = 56,921,900 different GROUPS of three books that you can choose to take home.

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Find the coordinates of the midpoint of the segment whose endpoints are R(9, 3) and S(-1, -9).

amm1812

Answer:

$(4, -3 )$

General Formulas and Concepts:

Pre-Algebra I

Order of Operations: BPEMDAS

Algebra I

Midpoint Formula: $(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )$

Step-by-step explanation:

Step 1: Define

R (9, 3)

S (-1, -9)

Step 2: Find midpoint

Substitute: $(\frac{9-1}{2}, \frac{3-9}{2} )$
Subtract: $(\frac{8}{2}, \frac{-6}{2} )$
Divide: $(4, -3 )$

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2 years ago

0.396 divided by 0.111

vredina [299]

About 3.5675 i need more characters so toodles

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3 years ago

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Calculate the middle number between 1-5 and 7.1

prohojiy [21]

Answer:

-4

Step-by-step explanation:

1-5=-4 (7.1+1)-5=3.1

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3 years ago

Read 2 more answers

These two scalene triangles are similar with a scale of 4:5. What is true about these figures?

disa [49]

Alright, lets get started.

Lets check each possible answer one by one.

We will start from option B.

BC is from small triangle and its corresponding side is DF, so its ratio will be $\frac{4}{5}$ not $\frac{5}{4}$ as given in option. Hence option B is incorrect.

For option C,

Angle a° and angle f° are not similar angles, if they were similar, then only their ratio will be 1 otherwise not 1. Hence option C is incorrect.

For option D,

Angle c° and angle f° are similar angles so, their ratio will be $\frac{c}{f} = 1$ . Hence option D is incorrect.

Now option A,

ED and AB are corresponding sides. ED is from bigger triangle and AB is from smaller triangle. Their ratio will be $\frac{ED}{AB} = \frac{5}{4}$ . Hence option A is correct answer.

Hope it will help :)

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2 years ago

Read 2 more answers

There are 24 pens in a desk drawer. The pens are either red or blue. The ratio of red pens to blue pens is 5:1. How many pens ar

Flura [38]

Answer:

The number of red pens is 20.

The number of blue pens is 4.

Step-by-step explanation:

We are given that, the ratio of number of red pens to the number of blue pens is 5 : 1.

∴ Let us assume that the number of red pens be 5x and number of blue pens be x.

Total number of pens in the desk drawer = 24

Now, according to question :

Number of red pens + Number of blue pens = 24

⇒5x + x = 24

⇒6x = 24

⇒ $x=\frac{24}{6}=4$

So, number of red pens in the drawer = 5x = 5 × 4 = 20

Number of blue pens in the drawer = x = 4

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3 years ago

Small library contains 700 novels. how many ways can You check out three novels￼

Small library contains 700 novels. how many ways can You check out three novels