Please help

Drag the tiles to the correct boxes to complete the pairs.
Match each division of rational expressions with its quotient.

Please HelpDrag The Tiles To The Correct Boxes To Complete The Pairs.Match Each Division Of Rational

Answers

Answer 1

Answer:

The pairs are:

[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex] =>  [tex]\frac{p^2}{9q^2}[/tex]

[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex] => [tex]6pq^3[/tex]

[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex] => [tex]6p^2q^2[/tex]

[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex] => [tex]\frac{q}{3}[/tex]

Step-by-step explanation:

We are going to solve the questions one by one and then write the quotients with every question.

In order to calculate the division, the terms are multiplied then exponents are added or subtracted between numerator and denominator to get the simplest form of answer.

First Expression:

[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex]

When two fractions have to be divided the second fraction is reversed i.e. numerator becomes denominator and vice versa.

[tex]= \frac{4p^3q}{6p^2q^2} * \frac{2p^2q^2}{12pq^3}\\=\frac{p^5q^3}{9p^3q^5}\\=\frac{p^2}{9q^2}[/tex]

Second Expression:

[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex]

Removing the division symbol

[tex]=\frac{10p^3q^3}{2p^2q} * \frac{6pq^2}{5pq}\\=\frac{6p^4q^5}{p^3q^2}\\=6pq^3[/tex]

Third Expression:

[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex]

Removing the division symbol

[tex]=\frac{14p^2q^3}{2pq} * \frac{6p^3q^2}{7p^2q^2}\\= \frac{6p^5q^5}{p^3q^3}\\= 6p^2q^2[/tex]

Fourth Expression:

[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex]

Removing the division symbol

[tex]=\frac{16pq^3}{24p^2q^3} * \frac{p^3q^3}{2p^2q^2}\\=\frac{p^4q^6}{3p^4q^5}\\=\frac{q}{3}[/tex]

Hence,

The pairs are:

[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex] =>  [tex]\frac{p^2}{9q^2}[/tex]

[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex] => [tex]6pq^3[/tex]

[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex] => [tex]6p^2q^2[/tex]

[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex] => [tex]\frac{q}{3}[/tex]


Related Questions

The polygons are similar. Find the value of X and Y

Answers

Answer:

X=8, Y=9

Step-by-step explanation:

9/6=1.5

12/1.5=8

6*1.5=9

PLS GIVE BRAINLIEST

∠1 and ∠2 are vertical angles. If m∠2 = 124°, find the measure of the supplement of ∠1 plzzz i need help

Answers

Answer:

∠1 = 124 degrees

Step-by-step explanation:

Vertical angles are always congruent

So ∠1  = ∠2

Answer:

Supplement of m∠1 = 56°

Step-by-step explanation:

Since both angles are vertical, they both equal to each other.

m∠2 = m∠1

        = 124°

To find the supplement of m∠1, we need to remember that supplementary angles add up to 180°.

Supplement of m∠1 = 180°-124°

                                 = 56°

10 .find the partial sum S10 of the arithmetic series with a1 = 4, d = 5.

Answers

Answer:

S10 = 320

Step-by-step explanation:

The formula for calculating the sum of the nth term of an AP is expressed as

Sn = n/2(2a+(n-1)d))

Given

a = 4

d = 5

n = 10

S10 =10/2{2(5)+(10-1)5}

S10 =5{10+9(6)}

S10 =5{10+54}

S10 = 5(64)

S10 = 320

Hence the sum of the first ten terms of the sequence is 320

Heidi has $4.55. She needs to buy bolts at the hardware store. Bolts cost $0.13 each.

What division equation and related multiplication equation could Heidi use to find how many bolts she can buy?

Answers

Answer

35

Step-by-step explanation:

4.55/.13=35. Also, Heidi could do 35x13. I hope this helps!

find the value of x if log3 (x+6) =2​

Answers

Answer:

3(x+6) =2

3x+18 =2

3x=2-18

3x=16

x=16/3

x=5.33333333

Here ...hope this help!! :)

For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is approximated by the function below. Find the maximum blood pressure and the disage at which it occurs.

B(x)= 395x^2- 2370x^3, 0 <= x <= 0.16

a. The maximum is obtained for a dosage of __________________.
b. The maximum blood pressure obtained is ______________.

Answers

Answer:

A) Maximum for dosage is 0.11

B) maximum blood pressure = 1.625

Step-by-step explanation:

We are given the function;

B(x) = 395x² - 2370x³

To find maximum, we will find the derivative of the function and equate to zero.

B'(x) = 790x - 7110x²

Equating to zero gives;

790x - 7110x² = 0

790x = 7110x²

Dividing both sides by x gives;

790 = 7110x

x = 790/7110

x = 0.11

This falls in between the range of 0 <= x <= 0.16 given to us.

Therefore x = 0.11 is a maximum

Plugging this into B(x) = 395x² - 2370x³ gives;

B(0.11) = 395(0.11)² - 2370(0.11)³

B(0.11) = 1.625

Thus;

Maximum dosage is 0.11

maximum blood pressure = 1.625

I need help on my math.

Answers

The sides would be 10 and the top will be 13 hope this helps

Can someone please do this?

Answers

All of them except for 72441 are divisible by 2

Henry needs a 16 ft. table for his family dinner. He is going to put two tables together. He has an 8ft table. How long does the other need to be?

Answers

Answer:

The other table needs to be 8ft long as well.

Step-by-step explanation:

To get to 16ft, we need to subtract the 8ft that Henry already has.

16 - 8 equals 8.

So, the other table needs to be 8 feet.

#teamtrees #WAP (Water And Plant)

will someone plz do this question​

Answers

Answer:

the answer is a your welcome

I NEED HELP ASAP DUE MORNING AND REPORT CONFERENCE TMM

Answers

Answer:

A. Horizontal and slope is 0

B. Horizontal and slope is 0

C. Vertical and slope is undefined

D. Vertical and slope is undefined

Step-by-step explanation:

Eddie is reading a novel for English class. He has read 168 out of 480 pages. What percent of the book has he read?

Answers

Answer:

0.35%

Step-by-step explanation:

An investor invested a total of $2,100 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If the investor’s total profit was $83, how much was invested in each mutual fund?

The amount invested in the mutual fund that earned 5% was $___.

The amount invested in the mutual fund that earned 3% was $___.

Answers

Answer:

The amount invested in the mutual fund that earned 5% was $1000.

The amount invested in the mutual fund that earned 3% was $1100.

Step-by-step explanation:

Let the amount invested in the mutual fund that was earned 5% be x and the amount invested in the mutual fund that earned 3% be y.

Statement 1: [tex]\frac{5}{100}[/tex]X+[tex]\frac{3}{100}[/tex]y = 83

Statement 2: x+y = 2100

I'll use the elimination method:

Statement 1 × 20: x+[tex]\frac{60}{100}[/tex]y = 1660

Minus Statement 1 × 20 from Statement 2: x+y-x-[tex]\frac{60}{100}[/tex]y = 2100-1660

[tex]\frac{40}{100}[/tex]y = 440

y = [tex]\frac{100}{40}[/tex]×440

  = 1100

x = 2100-1100

  = 1000

What’s the answer to this multi step equation? -3(12x+9)=9

Answers

Answer: x=-1

Step-by-step explanation:

Solve the inequality 2 (x - 2) +8.6 < 14.​

Answers

Answer:

x<4.7

Step-by-step explanation:

2(x-2)+8.6<14

2x-4+8.6<14

2x=4.6<14

2x<14-4.6

2x<9.4

_____

x<4.7

                                mom said its my turn to be brainliest answer ;0

                                also, help me on my math hw maybe ?

Answer: x < 4.7

Step-by-step explanation:

The sum of the ages of David and Morgan is 78 years. 7 years ago, David's age was 3 times Morgan's age. How old is David now?

Answers

Answer:

David is 55 years old

Morgan is 23 years old

__________________________________________________________

Step-by-step explanation:

Let the age of David = x years

Let the age of Morgan = y years

We are Given:

The sum of David and Morgan's age is 78

7 years ago, David's age was 3 times Morgan's age

__________________________________________________________

Making the equations:

from the first statement, the sum of their ages is 78

So, we can write it as:

x + y = 78

from the second statement,7 years ago, David's age was 3 times Morgan's age

David's age 7 years ago = (x - 7)

Morgan's age 7 years ago = (y-7)

So, we can write the equation as:

(x - 7) = 3(y - 7)

which can be simplified to:

x = 3y - 14

__________________________________________________________

Solving the equations:

We have the 2 equations:

x + y = 78x = 3y - 14

from the first equation, we can say that:

x = 78 - y

Using this value in the second equation:

x = 3y - 14

78 - y=  3y - 14                                                             [since x = 78 - y]

78 + 14 = 4y

4y = 92

y = 23

Using this value in the first equation:

x + y = 78

x + 23 = 78                                                                  [since y = 23]

x = 55

__________________________________________________________

The Age of David and Morgan:

Since we assigned x to the age of David:

David is 55 years old

We assigned y to the age of Morgan. So,

Morgan is 23 years old

Hi. :) if you are a "Blink" what album should i get? ​

Answers

Answer:

Changes

Step-by-step explanation:

#teamtrees #WAP (Water And Plant)

Answer:

♡ let's kill this love! ♡

you should definitely get "the album."

it has a very good rating and its great ☆

stan blackpink for clear skin, have a great day!

-madi/madeline

✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧

Step-by-step explanation:

What percent is 8 out of 32?

Answers

Answer:

25%

Step-by-step explanation:

8/32= 25%

Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive.

What is the sum of the factors?

Answers

Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive.
What is the sum of the factors?
13

Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter.Area: 49 square feet ft (smaller value) ft (larger value)

Answers

Answer:

Length = 7 ft

Breadth = 7 ft

Step-by-step explanation:

Let lenght of rectangle be x

and breadth be y

Area = [tex]49\ \text{ft}^2[/tex]

[tex]xy=49\\\Rightarrow x=\dfrac{49}{y}[/tex]

Permiter of a rectangle is given by

[tex]P=2(x+y)\\\Rightarrow P=2x+2y\\\Rightarrow P=2\times\dfrac{49}{y}+2y\\\Rightarrow P=\dfrac{98}{y}+2y[/tex]

Differentiating with respect to y we get

[tex]\dfrac{dP}{dy}=-\dfrac{98}{y^2}+2[/tex]

Equating with zero

[tex]0=-\dfrac{98}{y^2}+2\\\Rightarrow -2=-\dfrac{98}{y^2}\\\Rightarrow y^2=\dfrac{98}{2}\\\Rightarrow y^2=49\\\Rightarrow y=7[/tex]

Double derivative of the equation

[tex]\dfrac{d^2P}{dy^2}=2\dfrac{98}{y^3}\\\Rightarrow \dfrac{d^2P}{dy^2}=\dfrac{196}{y^3}>0[/tex]

So the value of y is minimum at 7.

[tex]x=\dfrac{49}{y}=\dfrac{49}{7}\\\Rightarrow x=7[/tex]

Hence, [tex]x=7,y=7[/tex]

The mimimum length and breadth of the rectangle is both 7 ft.

arrangement the following in ascending order ; -5/7, -3/14, 4/7, -6/7​

Answers

Answer:

-4/7-5/7-6/7-3/14 ascending order

Answer:

The sorted inputs in order from least to greatest is:

-6/7 < -5/7 < -3/14 < 4/7

Step-by-step explanation:

Given

-5/7, -3/14, 4/7, -6/7​

The least common denominator (LCD) is: 14

Rewriting as equivalent fractions with the LCD:

-5/7            -3/14            4/7          -6/7

-10/14          -3/14           8/14          -12/14

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

-6/7                -5/7              -3/14              4/7

-12/14     <      -10/14     <      -3/14        <   8/14

Therefore, the sorted inputs in order from least to greatest is:

-6/7 < -5/7 < -3/14 < 4/7

The diameter of Saturn at its equator is about 120,540,000 meters. What is 120,540,000 written in word form?

Answers

Answer:

Step-by-step explanation:

Onehundred twenty-million-fivehundred forty thousand

4% as a fraction or mixed number in simplest form

Answers

Answer:

1 /25

Step-by-step explanation:

percent means  

out of 100

 

4

%

=

4

100

as a fraction

To simplify the fraction we require to find a  

common factor

to both 4 and 100 and reduce the fraction by dividing. The common factors are 2 and 4 . Choose the largest, that is 4

4

100

=

4

÷

4

100

÷

4

=

1

25

This calculation is usually set out using  

cancelling

4

100

=

4

1

100

25

=

1

25

in simplest form

A fraction is in  

simplest form

when no other factor but 1 will divide into the numerator/denominator.

Hey guys I have a hard time with these questions. Can someone explain it to me? :)

Answers

The slope would be 0

This is basically how you do it if you need more help let me know

Answer:

Step-by-step explanation:

there are a couple ways to find slope

1. Rise over Run Method:

for this method, you use basic counting

to do this, you count the number of x spaces it takes the line to get from one y space to the next

for your line, the run is 3 because it takes 3 x spaces to get from one whole number to the next on the y spaces

you would say the rise is -1 because the line is going down, and it takes 3 x spaces to get the next pot that is on a y-axis increment

so we know the rise is -1 and the run is 3

if you put this into rise/run format, you get 1/-3

so -1/3 is you slope

2. Using the Coordinates

in this line, you see two points

the points are 1. (-1, -1), and 2. (2, -2)

using the coordinates means that you use a formula: [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

the y2 is the y value of the second coordinate (-2), the y1 is the y value of the first coordinate (-1)

the x2 is the x value of the second coordinate (2), the x1 is the x value of the  first coordinate (-1)

if you plug these it you get: -2 - (-1) / 2 - (-1)

this can be simplified to -2 + 1 / 2 + 1

and simplified again to -1/3

Qhat ever method you use, you should get the same answer. Using both methods is a good way to check your work.

12*PLEASEE ANSWER THIS FAST IT'S VERY URGENT IS IT LEFT OR RIGHT WHICH IS THE CORRECT ANSWER!!!

Answers

Answer:

Right

Step-by-step explanation:

20 boxes minus 9 boxes

PLEASE PLEASE PLEASE HELP​

Answers

Answer:

some dumb mod deleted my answer because i didnt show work. Who cares about the work everyone just wants the answers.

55.) A.9 B. 29

57.) SAS

Step-by-step explanation:

Twenty percent of the town's population is over the age of 65. If there are 320 residents over the age of 65, what is the town's total population?

Answers

Answer:

65

Step-by-step explanation:

I think. hope this hepls

Answer:

There are 1600 residents.

Step-by-step explanation:

0.2 times x = 320  divide by 0.2

x = 1600

$120 less than half of d dollars

Answers

Answer:

[tex]\frac{d}{2} - 120[/tex]

Step-by-step explanation:

You work backwards:

Half of d dollars is d/2. Then you take 120 less than that, which means you are subtracting.

Answer:

1/2d-120

Step-by-step explanation:

Alright.

d=amount of money

1/2d=half of the amount of money

1/2d-120=half of the money minus 120

Find the slope of each line passing through the given points using the slope formula.
(-3, -10) and (-1, -1) URGENT Please answer

Answers

Slope (m)= y\x= 9/2 = 4.5

your equation for the line is

y=4.5x+3.5

What is the sum of 347+645=

Answers

Answer:

347 + 645 = 992

Step-by-step explanation:

 347

+645

 922

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