HELP ME FOR 5 AND 6 PLEASEEEEE HDJSHSHS

The empty shelf can be filled in 120 ways

The total number of books is

[tex]n = 10[/tex]

The number of books to move is:

[tex]r = 3[/tex]

To fill the empty shelf with three books, we make use of the following combination formula

[tex]^{n}C_r = \frac{n!}{(n - r)!r!}[/tex]

So, we have:

[tex]^{10}C_3 = \frac{10!}{(10 - 3)!3!}[/tex]

Evaluate the expression

[tex]^{10}C_3 = \frac{10!}{7!3!}[/tex]

Expand

[tex]^{10}C_3 = \frac{10 \times 9 \times 8 \times 7!}{7! \times 3\times 2 \times 1}[/tex]

Cancel out the common factors

[tex]^{10}C_3 = \frac{10 \times 9 \times 8}{3\times 2 \times 1}[/tex]

Evaluate the products

[tex]^{10}C_3 = \frac{720}{6}[/tex]

Divide

[tex]^{10}C_3 = 120[/tex]

Hence, the empty shelf can be filled in 120 ways

Read more about combinations at:

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Answer:

hi

Step-by-step explanation:

i think 15 or 8

hope it helps

Answer:

2x+8=180° (being vertically opposite angles)

Step-by-step explanation:

2x+8=110°

or, 2x= 110-8

or, x=102°÷2

: x= 51 answer

-41.2 minus (-37.4) is -3.8.

If this is incorrect, please, don't refrain to tell me. Thank you.

Answer: -3.8

Hope this helps!

Answer:

Step-by-step explanation:

area of the big square plus the area of the little rectangle.

total area = s² + bh

                = 7² + (4)(3)   ft²

Answer:

I am sorry I would love to help but I can't fiqure it out without the side length.

Step-by-step explanation:

btw i know its not your fault i dont  see the width

Answer:

84

Step-by-step explanation:

140% of 60 = 60 times 140% = 60 × 1.4 = 84

Answer:

84

Step-by-step explanation:

We can use a proportion to answer this question.

On the left side of the equal we can put the percentages (at first place the given one and in the second place 100)

On the right side we can put the numbers. x is the 140 of 60, while 60 is the

100%

140: 100 = x : 60

For find the x we have to multiply 60 and 140 and divide the result for 100

x = (60*140)/ 100 = 84

Answer:

Step-by-step explanation:

266

Answer:

Number of onion rings in the combination = x = 6

Number of sliders in the combination = y = 2

Step-by-step explanation:

At a particular restaurant, each onion ring has 45 calories and each slider has 325 calories. A combination meal with onion rings and sliders is shown to have 920 total calories and 3 times as many onion rings as there are sliders. Write a system of equations that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.

Let

Number of onion rings in the combination = x

Number of sliders in the combination = y

45x + 325y = 920 (1)

3 times as many onion rings as there are sliders

x = 3y (2)

Substitute x = 3y into (1)

45x + 325y = 920

45(3y) + 325y = 920

135y + 325y = 920

460y = 920

y = 920/460

y = 2

Substitute y = 2 into (2)

x = 3y

x = 3(2)

x = 6

Number of onion rings in the combination = x = 6

Number of sliders in the combination = y = 2

Answer:not sure

Step-by-step explanation:

just robbing ur points

next time dont do it to me :)

Answer:

the slope would be rise over run

it is shown in the graph it rise 3units and run 2units therefore it's 3/2

Answer:

c. 52

Step-by-step explanation:

since that triangle QRE is a right angle triangle

therefore QE = root 5²_3² = 4 cm " pythagorean "

since triangle PQE is a right angle triangle

therefore PQ= root 4²+6²= 2 root 13 = root 52

The length of side PQ in the figure given in the task content is; 6.48.

We are required to determine the length of side PQ;

It follows from Pythagoras theorem that;

5² - 3² = (PQ)² - 6²

(PQ)² = 16 + 36

PQ = √42.

PQ = 6.48

Read more on Pythagoras theorem;

https://brainly.com/question/343682

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Answer:

48

Step-by-step explanation:

Trust me!

Answer:

1. y= 3x -10

2. y= -5x + 7

3. y= x -9

4. y= 2/3x- 6

5 y= -x + 2 1/2

Answer:

46

Step-by-step explanation:

Using conditional probability, it is found that P(A|B) is read as "the probability that A occurs given that B has occurred", hence the statement is:

B. False.

It is the probability of an event B occurring, considering that event A has occurred, and it represented by P(A|B).

Hence, following the same standard, P(B|A) is read as "the probability that A occurs given that B has occurred", which means that the statement is false and option B is correct.

More can be learned about conditional probability at https://brainly.com/question/14398287

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Given:

The lengths of the sides of a triangle are 6, 11, 16.

To find:

Whether the given triangles is a right angle triangle or not.

Solution:

Pythagoras theorem:

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

A triangle is a right angle triangle if the sum of squares of two smaller sides is equal to the square of the largest sides.

In the given triangle the length of the largest side is 16.

Square of the largest sides is:

[tex]16^2=256[/tex]

Sum of the squares of the two smaller sides is:

[tex]6^2+11^2=36+121[/tex]

[tex]6^2+11^2=157[/tex]

Since [tex]6^2+11^2\neq 16^2[/tex], therefore the given triangle is not a right angle triangle.

Answer:

thats a scam ^

dont click the link ir search

Answer:

48cm

Step-by-step explanation:

Given data

Dimension

12cmx16cm

Before we can get the perimeter of the resulting triangles

let us find the length of the diagonal

Diagonal

D^2= 12^2+ 16^2

D^2= 144+256

D^2= 400

D=√400

D=20cm

Hence the diagonal is 20cm

Therefore the perimeter of each triangle is

=12+16+20

=48cm

Answer: 165

Step-by-step explanation:

Given

The shop has 1323 bamboo flowers

Each vase can hold exactly 8 bamboo flowers

no of the vase(n) filled with 8 flowers are

[tex]\Rightarrow n=\dfrac{1323}{8}=165.375[/tex]

i.e. 165 is completely filled and 166th is partly filled

[tex]\Rightarrow 165\times 8=1320[/tex] i.e. 3 flowers are left after filling 165 vases completely.

Answer:

35 PC's baked used has then

9514 1404 393

Answer:

  b = -5

  c = -2

Step-by-step explanation:

The explicit form of a sequence with common ratio r and first term a1 is ...

  an = a1(r^(n-1))

Matching the forms, we see that ...

  b is the first term of the sequence: -5.

  c is the common ratio: 10/-5 = -2.

In summary, ...

  b = -5, c = -2

Answer:

6 meters

Step-by-step explanation:

This is a right triangle (indicated by the little square in the corner), so it's like half a square. Formula for a right triangle's area is [tex](base*height)[/tex] ÷ 2. So in this situation:

[tex](3*4)=12[/tex] ÷ [tex]2 = 6[/tex]

Step-by-step explanation:

0.5×base×height

Area =1/2×4×3=6

Answer:

10

Step-by-step explanation:

h= -4

k= -3

plug in h and k

[tex]\frac{(-4*-3)-4}{2}+6[/tex]

[tex]\frac{(12)-4}{2} +6[/tex]

[tex]\frac{8}{2} +6[/tex]

4 + 6= 10

Answer:

a=5cm

Step-by-step explanation:

V=B*H

You will get base if you do this:

B=V:H

B=175:7

B=25

I'm not so good with English, side is probably a,so:

Formula for base: B=a²

Then a=√B

a=√25

a=5cm

I hope this helps.

Answer:

(-12 , 2)

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Section Formula :-

Let AB  be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

[tex](x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )[/tex]

PROCEDURE :-

Let the co-ordinates of another endpoint be (x , y)

So ,

[tex](-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )[/tex]

First , lets solve for x.

[tex]=> \frac{x - 4}{2} = -8[/tex]

[tex]=> x - 4 = -8 \times 2 = -16[/tex]

[tex]=> x = -16 + 4 = -12[/tex]

Now , lets solve for y.

[tex]=> \frac{y - 10}{2} = -4[/tex]

[tex]=> y - 10 = -4 \times 2 = -8[/tex]

[tex]=> y = -8 + 10 = 2[/tex]

∴ The co-ordinates of another endpoint = (-12 , 2)

Answer:

the answer is 14 that's what I got

Answer:

11

Step-by-step explanation:

edge 2020

p.s. pls mark brainliest, and have a good day! :)