find the decimal equivalent of the fraction 1/6

[tex]\\ \rm\longmapsto ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

[tex]\\ \rm\longmapsto ^{12}C_3[/tex]

[tex]\\ \rm\longmapsto \dfrac{12!}{3!(12-3)!}[/tex]

[tex]\\ \rm\longmapsto \dfrac{12!}{3!(9!)}[/tex]

[tex]\\ \rm\longmapsto \dfrac{12(11)(10)(9!)}{3!(9!)}[/tex]

[tex]\\ \rm\longmapsto \dfrac{12(11)(10)}{3!}[/tex]

[tex]\\ \rm\longmapsto \dfrac{1320}{3(2)(1)}[/tex]

[tex]\\ \rm\longmapsto \dfrac{1320}{6}[/tex]

[tex]\\ \rm\longmapsto 220[/tex]

Answer:

4/5 ....

Step-by-step explanation:

N/1 = N

so... um...

4/5 = N/1

4/5 = N

N = 4/5

Answer:

N = 0.8

Step-by-step explanation:

4/5 = N/1

0.8/1 = N/1

0.8 = N

Answer:

a^5÷a^3=a^5×a^-3=a^5+-3=a^2

Answer:

[tex]a) \: \: {a}^{2} [/tex]

[tex]b) \: \: c[/tex]

Step-by-step explanation:

[tex]a) \: \: {a}^{5} \div {a}^{3} \\ = (a \times a \times a \times a \times a)(a \times a \times a) \\ = a \times a \\ = {a}^{2} [/tex]

[tex]b) \: \: \frac{ {c}^{4} }{ {c}^{3} } \\ \frac{(c \times c \times c \times c)}{(c \times c \times c)} \\ = c[/tex]

Answer: It is a rational number.

Step-by-step explanation: Because rational numbers can also be terminating decimals.

Answer:

Below

Step-by-step explanation:

2^-3 / 2^2 is equal to 1 / 2^5

Write the expression in exponential form

     2^-5 = 2^-5

Set the exponents as equal

-5 = -5

So this is true

Hope this helps! Best of luck <3

Answer:16x-6

Step-by-step explanation:4(4x-1) distributed is 16x-6

Answer:

Both numbers = 27

Step-by-step explanation:

( x + x + 49 + 25 + 42)/ 5 = 34          Multiply both sides by 5

(2x + 49 + 25 + 42) = 34*5 = 170     Combine the left

(2x + 116) = 170                                 Remove the brackets.

2x + 116 = 170                                   Subtract 116 from both sides

2x = 170 - 116

2x = 54                                             Divide by 2

x = 54/2

x = 27

Check

27 + 27 + 49 + 25 + 42

170 / 5 = 34

It does check out.

27 is right.

Answer:

17,500 Apples in 2 weeks

Step-by-step explanation:

250 apples*5 hours*14 days= 17,500 Apples in 2 weeks

the answer is 7/9. ...........

Answer:

-6d -15

Step-by-step explanation:

-3(2d + 5)

Distribute

-3 *2d -3*5

-6d -15

Answer:

figure plz

Step-by-step explanation:

Answer:

ans is 5.

hope it will help you.

Answer:

i flipped the images upside down.

Step-by-step explanation:

R= 8,5

Q=8,7

R=5,9

Answer:

E) 3/3

Step-by-step explanation:

12/15 ÷ X = 4/5

We need to divide the top and bottom by 3/3

12 ÷3 =4

15÷3 = 5

Answer:

1.) x = 150

2.) x = 8.5

Step-by-step explanation:

1.)

[tex]\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150[/tex]

2.)

[tex]4x-36=-2\\\\4x=34\\\\x=8.5[/tex]

Answer:

1. x = 150

2. x = 8.5

Step-by-step explanation:

1. x/5 + 10 = 40

Get x by itself and then solve for x.

First, subtract 10 from both sides

x/5 + 10 - 10 = 40 - 10

x/5 = 30

Then, multiply by 5 to get x by itself.

x/5 = 30

x/5 * 5 = 30 * 5

x = 150

2. 4x - 36 = -2

Get x by itself and then solve for x.

First, add 36 to both sides

4x - 36 + 36 = -2 + 36

4x = 34

Then, Divide each side by 4

4x/4 = 34/4

x = 8.5

Answer:

The square root of 465 with one digit decimal accuracy is 21.5.

Step-by-step explanation:

√465 = 21.5

Answer:

2(s + 5) = 2s + 10, not 2s - 10

2s - 10 = 2s + 10

[tex]0 \neq 20[/tex]

Answer:

-5.35

Step-by-step explanation:

-20.85

+15.50

this helps with the problem

Answer:

50 i think not sure what kind a question this is

Answer:

It is C

Step-by-step explanation:

PM = QM

[tex]6x - 8 = 2x + 4 \\ 6x - 2x = 4 + 8 \\ 4x = 12 \\ x = 3[/tex]

Answer:

C.) x = 3

Step-by-step explanation:

The diagonals of a rectangle are equal, and QM and PM are both half of the two diagonals. You can now say that 2 * (6x - 8) = 2 * (2x + 4), meaning that 12x - 16 = 4x + 8, where you can add 16 on both sides, then subtract by 4x on both sides to get that 8x = 24. Now divide by 8 on both sides to get that x = 3.

Answer:

-14/1 or 14/-1

Step-by-step explanation:

The fraction for 14 is 14/1

to make it negative, just add a negative sign for numerator or denominator.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

21.6cm^2

Step-by-step explanation:

area = length * breadth

= 7.2 * 3 = 21.6

Step-by-step explanation:

m∠RSU + m∠UST = 90° (as complementary angles)

(7x + 3)° + (11x − 21)° =90°

18x -18° = 90°

18x = 108°

x = 6

so, m∠RSU = (7x + 3)° = 7(6)+3 = 45°

and m∠UST = (11x − 21)° = 11(6) -21 = 45°

The required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.

The angle can be defined as the one line inclined over another line. Also the angles are measured in radian or degrees.

The sum of the complementary angles is 90.
So,
∠RSU + ∠UST = 90
7x +3 + 11x - 21 = 90
18x - 18 = 90
18 (x - 1) = 90
x - 1 = 90 / 18
x - 1 = 5
x = 4

Required measures of the angles,|

1) m∠RSU = (7x + 3)°
m∠RSU = (7 * 4+ 3)°|

m∠RSU = 31°

2)  m∠UST = (11x − 21)°.
    m∠UST = (11 * 4 − 21)°
    m∠UST = (44 − 21)°
     m∠UST =  23°

Thus, the required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ5

I hope it helps you

Answer:

[tex]y = 0 \: .x = \frac{2}{3} y[/tex]

Step-by-step explanation:

[tex] \frac{2 {x}^{2} - 5 }{3xy - 2 {y}^{2} } [/tex]

[tex]3xy - 2 {y}^{2} = 0[/tex]

[tex]y \times (3x - 2y) = 0[/tex]

[tex]y = 0 = 3x - 2y = 0[/tex]

[tex]y = 0 = 3x = 2y[/tex]

[tex]y = 0[/tex]

[tex]x = \frac{2}{3} y[/tex]

[tex]y = 0. \: x = \frac{2}{3} y[/tex]

Answer:

D

Step-by-step explanation:

Answer: An equation with an integer coefficient will NOT always have an integer solution.

Explanation: 3x=25⟹x=253 , therefore it is false.