consider the steps for determining the quotient of 12/x-4 / 4/x-4

Answers

Answer 1

Answer:

Quotient = 3

Step-by-step explanation:

We need to solve the given expression :

[tex]\dfrac{\dfrac{12}{x-4}}{\dfrac{4}{x-4}}[/tex]

It can be done as follows :

As, [tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]

So,

[tex]\dfrac{\dfrac{12}{x-4}}{\dfrac{4}{x-4}}=\dfrac{12}{x-4}\times \dfrac{x-4}{4}\\\\=\dfrac{12}{4}\\\\=3[/tex]

Hence, the required quotient is 3.

Answer 2

The answer is

a rational

3

1


Related Questions

HELP HELP HELP HELP Pi =?

Answers

3.14 is the number for pi

Answer:

Pi = 3.14159265359

Step-by-step explanation:

3.14159, this is π

Followed by 2-6-5-3-5-8-9

Circumference over diameter

7-9, then 3-2-3

OMG! Can't you see?

8-4-6-2-6-4-3

And now we're on a spree

38 and 32, now we're blue

Oh, who knew?

7, 950 and then a two

88 and 41, so much fun

Now a run

9-7-1-6-9-3-9-9

Then 3-7, 51

Half way done!

0-5-8, now don't be late

2-0-9, where's the wine?

7-4, it's on the floor

Then 9-4-4-5-9

2-3-0, we gotta go

7-8, we can't wait

1-6-4-0-6-2-8

We're almost near the end, keep going

62, we're getting through

0-8-9-9, on time

8-6-2-8-0-3-4

There's only a few more!

8-2, then 5-3

42, 11, 7-0 and 67

We're done! Was that fun?

Learning random digits

So that you can brag to your friends

on day 1 a patient measures 5 feet and 11 inches tall. after 4 days of stretching the patient measures 5 feet and 11 inches tall. What is the slope and is it negative or positive?

Answers

Answer:

slope is zero

Step-by-step explanation:

zero slope is neither positive or negative; it indicates no change whatsoever

Which of the following is a solution to this inequality?

y > 1/2x + 2

A. (1,4)

B. (-1,1)

C. (2,3)

D. (0,2)

Answers

Answer:

A. (1,4)

Step-by-step explanation:

can someone help me please?

Answers

Answer:

72/100

Step-by-step explanation:

Help me please!

Correct answer get's brainliest :D

Answers

answer:

step by step explanation:

make all numbers the same decimal,fraction or percentage and then compare

3/8=37.5%

-2.8=20.8%

0.053=5.3%

-2.8%

ascending means from smallest to biggest so the answer would be 0.053

yo i need the answer foh dis right ha ight help me dawgggg

Answers

Answer:

-1/3

Explanation:

Answer:

Ionk dis buhh i guess it's -1 sum damm i forgot

Step-by-step explanation:

Hope dis helps ighh

PLEASE ANSWER THIS IN SLOPE INTERCEPT FORM!!!

Answers

Answer:

The answer is

[tex]y = - \frac{3}{4} x + \frac{13}{4} [/tex]

Find the solution to the system of equations

−8x+9y=−21
-3x+9y=−36

Answers

Answer:

(-51,-21) solve for the first variable in one of the equations. then substitute the result into the other equation

This is the answer to the question mark me the brainliest
X=-3
Y=-5

A rectangle of sides 5 cm and 2 cm is cut out from a bigger rectangle of sides 14 cm and 7 cm to form a new shape as shown below.
What is the perimeter of the new shape formed?

a. 46 cm
b. 40 cm
c. 22 cm
d. 20 cm

Answers

Answer: a. 46 cm

Step-by-step explanation:

(7 + 14) × 2 + 2× 2 = 46 (cm)

The perimeter of the new shape formed when a smaller rectangle is cut out is 46 cm

Given:

Smaller rectangle

length = 5 cm

width = 2 cm

perimeter of smaller rectangle = 2(length + width)

= 2(5 + 2)

= 2(7)

= 14

Larger rectangle

length = 14 cm

width = 7 cm

perimeter of larger rectangle = 2(length + width)

= 2(14 + 7)

= 2(21)

= 42 cm

perimeter of new shape = perimeter of larger rectangle + 2 × 2

= 42 + 4

= 46 cm

Therefore, the perimeter of the new shape formed when a smaller rectangle is cut out is 46 cm

Learn more about perimeter of a rectangle:

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What is the binomial expansion of (x+2y)^7

Answers

Answer:

......................................................................

11. Which regular polygon has a minimum rotation of 45° to carry the polygon onto itself?

A. octagon

B. decagon

C. hexagon

D. pentagon

Answers

Answer:

the answer is a octagon that has rotation of 45degrees

Prove that the value of the expression:
165+164 is divisible by 17

Answers

Answer:

329 divided by 17 is 19.3529411765 so round it 19.3529 turns in to 19.353

so take that and mutiply it by 17 then you will get 329

Step-by-step explanation:

Answer:

[tex]16^{2} (272)[/tex] is divisible by 17

Proof:

In order to solve this question we will have to factor  [tex]16^{5} + 16^{4}[/tex]. We will have to do that as follows.

[tex]16^{5} + 16^{4} = 16^{3} (16^{2} + 16) = 16^{2} (272)[/tex]

From here we know the the resulting number will be equal to [tex]16^{2} (272)[/tex] now we will need to know the following property. If "b" is divisible by "c" then "ab" (where a is any integer) will also be divisible by c. In our case one of the factors is 272, and it is divisible by 17, so that means that [tex]16^{2} (272)[/tex] will also be divisible by 17.

Can someone help me calculate angles?

Answers

Answer:

1.45

2. 135

Explanation:

1.  With a triangle all angles have to add up to 180, so what you would do is add up both angles we already know (43+92=135), then we subtract the sum from 180, (180-135=45) now you know the third angle.

2.  Just like a triangle, when finding angles on a line, it has to add up to 180. We already know that point M has an angle of 45 from the last problem, so all we have to do is subtract 45 from 180 (180-45=135). THats the measurement on TMS

help me, please............

Answers

Answer:

reflected over the y axis

What is the vertex of the function f(x) = 2+3x+ 3/2

Answers

Answer:

0=2+3x+3/2

0=7/2+3x

-3x=7/2

divide by -3 on both sides

x=-7/6

hope this helps

Step-by-step explanation:

help pls will give brainless

Answers

Answer:

(3). h = 4√6 units ; (5). x = 3√21 units

Step-by-step explanation:

(3). "h" is geometric mean

h² = 6 × 16 = 96

h = 4√6 units

(5). h = √(7 × 20) = √140 = 2√35

x² = 7² + 140 = 189

x = 3√21 units

The area of a rhombus is 16 cm 2 . If the length of one diagonal is 4 cm, find the
length of the other diagonal.

Answers

Given:The area of a rhombus is 16 cm². If the length of one diagonal is 4 cmTo Find:the length of the other diagonal. Solution:

Let, the length of the other diagonal be X

According to the Question:

We know that:

▶ Area of rhombus = ½ × d1 × d2

16 = ½ × 4 × d2

d2 = 32/4

8 cm

_________________________

Hope it helps u!!

Simplify the expression below using the distributive property

Answers

Answer:

-84-12i

Step-by-step explanation:

The one you have is the answer :)

Please help! This is due soon!

Answers

Answer: [tex]\sqrt{\frac{A}{\pi } }[/tex] = r

Step-by-step explanation:

The goal in this problem is to isolate the single variable, r. The original equation is A = pir^2. The first step to attempt to get r on its own is to divide each side of the equation by pi.

A = pir^2

A/pi = pir^2/pi

A/pi = r^2

Next, find the square root of each side to get r on its own:

A/pi = r^2

sqrt(A/pi) = sqrt (r^2)

[tex]\sqrt{\frac{A}{\pi } }[/tex]  = r

Catty Couture is a company that make designer socks for cats.

134 cats are waiting for their socks to be made.

How many socks is this in total?

Answers

Answer:

536

Step-by-step explanation:

4 paws on each cat, multiply by the amount of cats = 536

Pls help and show workings due ASAP

Answers

Answer:

m = 2/3

Step-by-step explanation:

slope is equal to rise/run

rise = y2 - y1 = 7 - 1 = 6

run = x2 - x1 = 3 - (-6) = 9

simplify 6/9 = 2/3

Find the value of x...X=?

Answers

Answer:

The value of  x° = 134°

Step-by-step explanation:

Given the angles of a quadrilateral

100°51°75°x°

We know that the sum of interior angles in a quadrilateral is 360°.

so

100° + 51° + 75° + x° = 360°

226° + x° = 360°

subtracting 226° from both sides

226° + x° - 226°  = 360° - 226°

x° = 134°

Therefore, the value of  x° = 134°

VERIFICATION:

100° + 51° + 75° + 134° = 360°

360°= 360°

Solution:

→ 100° + 51° + 75° + x = 360°

→ (100° + 51° + 75°) + x = 360°

→ 226° + x = 360°

→ x = 360° - 226°

→ [ x = 134° ]

Thus, the value of x is 134°.

What is the recursive formula for this arithmetic sequence? 5, 9, 13, 17..​

Answers

Step-by-step explanation:

Every term that has another term preceding it is 4 more than the previous term.

The recursive formula is a(n) = a(n - 1) + 4.

Find the least common multiple (LCM) for the pair of numbers.
20, 3
Need answers like now

Answers

Step-by-step explanation:

A method for this would be the tree diagram

20

/. \

10 x 2 ( u circle 2,times with 1 will times into itself)

/ \. (nothing goes into 2)

5x2 (same goes for 5 and the rest)

5x2x2= 20

3. (cant times into itself)

so 2x5x3 = 30

LCM = 30

(I retook the photo for u nice smarts) here I go nice person help

Answers

Answer:

(6,7)

x=6

y=7

Step-by-step explanation:

What you do is combine the two equations and solve for x

1/3x+5=5/3x-3

Add three to both sides and subtract 1/3x from both as well

This gives us

8=4/3x

Divide by 4/3 and get

x=6

Then plug x=6 into any of the equations and get

1/3*6+5

This gives us 7

 

Answer:

I'm the bad guy

Step-by-step explanation:

graph the line witg the equation y=-x-6​

Answers

Answer:

Attached is the graph. The x-intercept is -6, and the y-intercept is -6.

heres yo go mattty lolololololol

Answers

Answer:

x = 16

Step-by-step explanation:

71 - 15 = 56

56 ÷ 14 = 4

[tex]\sqrt{16}[/tex] = 4

Check work:

[tex]\sqrt{16}[/tex] = 4

14 x 4 = 56

56 + 15 = 71

Gcf/ greatest common factor and / LCM least common multiple Mang Andoy is going to put in trays of 6 eggs and 12 eggs. What is the smallest number of eggs that Mang Andoy can put using the tray. 1. What is asked? _________________________________ 2. What are given facts? _________________________________ 3. How will you solve the problem? ___________________________ 4. How is the solution done? ______________________________ 5. What is the answer to the problem? ___________________________

Answers

Answer with explanantion:

1. What is asked? The smallest number of eggs that Mang Andoy can put using the tray.

2. What are given facts?  Two kinds of tray (One can have 6 eggs , other can have 12 eggs)

3. How will you solve the problem? We need to find LCM of 6 and 12.

4. How is the solution done?

Prime factorization of 6 and 12:

6=2 x 3

12 = 2 x 2 x 3

LCM(6,12) = 2 x 2 x 3 = 12

5. What is the answer to the problem? The smallest number of eggs that Mang Andoy can put using the tray = 12

HELP PLEASEEEE
The diameter of Jupiter is about 10 times the diameter the Earth . Which object in the solar system has a diameter that about 10 times the diameter of Jupiter ? A)Saturn B)Sun C) Moon D) Mercury

Answers

Answer: B: Sun.

Step-by-step explanation: Jupiter is the largest mass in our solar system, other than the sun. Everything else is too small.

The object in the solar system has a diameter that is about 10 times the diameter of Jupiter is B: Sun.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that the diameter of Jupiter is about 10 times the diameter of the Earth.

We know that Jupiter is the largest mass in our solar system, other than the sun. other planets are too small.

Diameter of Jupiter = 1.43 x [tex]10^5[/tex]km

Diameter of Earth = 1.27 x 1[tex]0^4[/tex]km

Diameter of Jupiter = 10 (Diameter of Earth)

Ratio = Jupiter/Earth

Ratio =  1.43 x [tex]10^5[/tex]/1.27 x 1[tex]0^4[/tex]km

Ratio = 11.3

Since all the other planets are small; only the sun has the largest diameter than Jupiter.

Learn more about multiplications;

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A person deposited Rs 60000 in a bank for 2 years at the rate of 10%pa compounded annually.But after one year,bank has changed the policy and decided to pay semi-annual compound interest at the same rate.What is the percentage difference between compound interest of first year and second year?

Answers

Answer:

[tex]1.159\%[/tex]

Step-by-step explanation:

Given: Principal or P [tex]=\textrm{Rs }60,000[/tex].

Rate or R [tex]=10\%[/tex] per annum compounded annually.

Time or T [tex]=2[/tex] years.

To find: Percentage difference between compound interest of first year and second year.

Solution:

First year interest [tex]=\frac{\textrm{P}\times \textrm{R}\times \textrm{T}}{100}=\frac{60000\times 10\times 1}{100}=\textrm{Rs }6000[/tex].

First year amount [tex]=\textrm{Rs }60,000+\textrm{Rs }6,000=\textrm{Rs }66,000[/tex].

For the second year, the interest is compounded semi-annually.

So, time is doubled and the rate is halved.

Second year compounded amount [tex]=66,000\times [1+\frac{10}{2\times 100}]^2=66,000\times1.1025=\textrm{Rs }72,765[/tex].

Second year compound interest [tex]=\textrm{Rs }72,765-\textrm{Rs }66,000=\textrm{Rs }6,765[/tex].

Difference in interest of first and second year [tex]=\textrm{Rs }6,765-\textrm{Rs }6,000=\textrm{Rs }765[/tex].

Percentage difference [tex]=\frac{765}{66000}\times 100\%=1.159\%[/tex].

Hence, the percentage difference between compound interest of first year and second year is [tex]1.159\%[/tex].

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