What is the simplified form of the fraction below?
30
*
O A.
OB.
C.
olo
D.
لا اعر

By taking in mind the number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes, we will find that there are 840 unique ways to arrange 4 of the 7 dishes.

We know that if we have a set of N elements, the total number of different combinations of K elements (K ≤ N) out of the N elements is given by:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

In this particular case, we have:

Then the number of different combinations is given by:

[tex]C(7, 4) = \frac{7!}{(7 - 4)!*4!} = \frac{7*6*5}{3*2} = 35[/tex]

Now we have 4 dishes selected, but we also need to order them.

The number of different arrangements of the dishes is given by the product between the numbers of options above, this gives:

4*3*2*1 = 24

Then the total number of unique ways of arranging 4 of the 7 dishes is:

C = 24*35 = 840

Where we take in mind the possible number of combinations of 4 out of the 7 dishes, and the possible orders of these 4 dishes.

If you want to learn more, you can read:

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Answer: 1232

Step by Step: I just answered this

Answer:

Step-by-step explanation:

If you remove the brackets you get

4x^2*x^2 + 4x*4x + 3*4x

4x^4 + 16x^2 + 12x

That definitely is a polynomial

In its factored form, one of the factors is a polynomial so the answer is true.

Answer:

Answer# 1: A. 26

Answer# 2: A. 25

1. What is m + 5n where m = 1 and n = 5?

Substitute 1 for "m" and 5 for "n":

[tex]\sf (1)+5(5)[/tex]

Multiply 5*5 =25

[tex](1)+25[/tex]

Add :

[tex]\sf 26[/tex]

____________________

2. What is 5m + 5n where m = 10 and n = -5?

Substitute 10 for "m" and -5 for "n".

[tex]\sf 5\left(10\right)\:+\:5\left(-5\right)[/tex]

Multiply 5 * 10= 50

[tex]\sf 50+5\left(-5\right)[/tex]

Multiply 5 * -5 = -25

[tex]\sf 50-25[/tex]

Subtract:

[tex]\sf 25[/tex]

___________________________________

Answer:

D

Step-by-step explaination:

Answer:

Equals the same number 8 times itself, this is the equation: 8X.

Step-by-step explanation:

Answer:

Look down.

Step-by-step explanation:

8x1=8

8x2=16

8x3=24

8x4=32

8x5=40

8x6=48

8x7=56

8x8=64

8x9=72

8x10=80

I dont know if this is what you were asking for but its all yours now!

Answer:

4/5

Step-by-step explanation:

m=y2-y1/x2-x1

=6-2/6-1

4/5

Answer:

I might be getting somthign comfised but here is what I derived from it.

Step-by-step explanation:

Marcus uses a rule of (x+8, y-3). What will be the output if the input is (-2,1) and (0,-5).

If it is going off of the math functions then the outputs would be simple math -

(6, -2) -2+8 and -3+1; (8, -8) 0+8 and -5-3 [if im doing the correct functions].

The X and Y is what gets me when trying to answer if it is a function or not, I would say it is because the x and y values are given and they are their values are substituted, the actual function is adding the 8 to the X and subtracting the 3 from the Y.

Hope this helps some

Step-by-step explanation:

An example of direct variation would be the relationship of distance with time when speed is constant.

Let's assume you travel at the speed of 60 mph. The distance at 0, 0.5, 1, 2 hours would be 0, 30, 60, 120 miles.

This is a linear relationship and produces a graph of line.

See the graph.

--------------------

An example of inverse variation would be the time to complete the same work as number of workers increase.

Assume 5 workers complete wok in 20 days, 10 workers do same in 10 days, 20 workers do in 5 days.

This relationship produces a curved line.

See the graph.

Answer: 13 3/4

Step-by-step explanation:

The gopher’s new elevation relative to the surface of the ground will be

[tex]13 \frac{1}{4}[/tex] inches.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

A gopher is in a hole that is [tex]6 \frac{1}{4}[/tex] in. below the surface of the ground.

And, Then digs [tex]7 \frac{1}{2}[/tex]  in. deeper.

Now,

The gopher’s new elevation relative to the surface of the ground will be calculated as;

⇒ [tex]6 \frac{1}{4} + 7 \frac{1}{2}[/tex]

⇒ 25/4 + 15/2

Make denominators same as;

⇒ 25/4 + 30/4

⇒ (25 + 30) / 4

⇒ 55 / 4

⇒ [tex]13 \frac{1}{4}[/tex] inches.

Thus, The gopher’s new elevation relative to the surface of the ground will be [tex]13 \frac{1}{4}[/tex] inches.

Learn more about the addition visit:

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#SPJ2

Step-by-step explanation:

5t + 9 - 3t + 4

2t + 13

hope it's helpful

Answer:

55°

Step-by-step explanation:

One triangle = 180° Therefore 90°+35°+ Unknown acute angle = 180°

125°+ Unknown acute angle = 180°

Unknown acute angle = 180°-125°

Unknown acute angle =55°

Answer:

55°

Step-by-step explanation:

One triangle 180° 90+35 =125-180=55°

Answer: 6

Step-by-step explanation:

PEMDAS. 3 * {(10+35) / 9 - 3}             10+35=45  45/9= 5    5-3=2     2*3= 6

Answer:

597.6 Dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total number of hours worked:

Overtime hours:

Gross payment:

Answer:

h = -2

Step-by-step explanation:

1. Simplify the left hand side: 8h = -16

2. DIvide both sides by 8: h = -16 ÷ 8 = -2

Hope this helps!

Answer:

ℎ = − 1 6 /7

Step-by-step explanation:

Step 1: Combine like terms.

ℎ − 8 ℎ + 1 9 ℎ − 5 ℎ = − 1 6

7 ℎ = − 1 6

Step 2: Divide both sides of the equation by the same term.

7 ℎ = − 1 6

7ℎ/7=−16/7

Step 3: Simplify

ℎ=−16/ 7 = Answer

Answer:

Step-by-step explanation:

5x - 12 = 3x + 30

5x - 3x = 30 + 12

2x = 42

x = 21

---------------------

check

5 * 21 - 12 = 3 * 21 + 30

93 = 93

the answer is good

Answer:

m∠O = 41°

Step-by-step explanation:

∠NOM=∠NMO=(4y-15)° (base angles of isos triangle)

7y+2(4y-15)=180 (angle sum of triangle)

  7y+8y-30=180

       15y-30=180

             15y=180+30

                  =210

                y=210÷15

                  =14

Hence, m∠O = (4y-15)°

                      = [4(14)-15]°

                      = (56-15)°

                      = 41°

Answer:

The answer for this question would be 1.5 goes to the top of 1. Absoute value of -4.5 goes to the bottem of -4 . -2 goes on the -2 point . oppsite of 4 is -4.

Absoulte value of 1 is 1. 2.5 below sea level is under 2. Greatest common factor of 8 and 12 is 4. -(-3) is 3. Opposite of -5 is 5.

Step-by-step explanation:

Answer:

points:

1.5

4.5

-2

-4

1

-2.5

4

3

-3.5

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

a

Using proportions, it is found that the central angle of the walking sector is of 36º.

Hence, the rule of three is:

1 - 360º

0.1 - x

Applying cross multiplication:

[tex]x = 360(0.1) = 36[/tex]

The central angle of the walking sector is of 36º.

A similar problem is given at https://brainly.com/question/24372153

Answer:

I think that the answer is 50

Answer:

-3/2

Step-by-step explanation:

edge

Answer:

option D is correct answer

Answer:

24 R1

Step-by-step explanation:

Answer: 65/32

Step-by-step explanation:

Answer:

The answer would be C

Step-by-step explanation:

Because if you look at the triangles you can where they match up and if you look at the lines you can tell if they match up and C matches that`s how I did it well that`s how I do it when I do math

Answer:

5/40

Step-by-step explanation:

1/8 = 2/16 = 3/24 = 4/32 = 5/40

you just need to add 1 to the numerator(number on top) and 8 to the denominator(number at bottom). :)

Answer:

9753

Step-by-step explanation:

Answer:

I think its x = 8

Step-by-step explanation:

There are 8 white long rectangles so I would think x = 8

but there are 9 little white squares so it could be 8 + 9  but

Answer:

x= 6/7

Step-by-step explanation:

becuase 7x -3x -2 + 1 = 8-3-3x + x

is simplified to 5x  -1 = 5-2x

+2 on both sides

7x-1 =5

+ 1 on both sides

7x=6

divde both by 7

x= 6/7