Multiply and divide rational expressions and simplify the answer

Multiply And Divide Rational Expressions And Simplify The Answer

Answers

Answer 1

Answer:

1. 32x/15

2. 2/x-4

3. 1/10x+10

4. 3x^6/5x^9

5. (x-3)(x-9)/6

6. x^2/3

Step-by-step explanation:

multiply the Numerator with the Numerator of other number and multiply the denominator of the first with the denominator of the second. Find a common factor in both the Numerator and denominator to be able to cross out the identical factors.


Related Questions

A sales representative is paid a commission of N5 on every N100 sale he makes. If his commission for the week is N10,000.00, how much sales has he made

Answers

He made 2000 sales a week to get 10,000.

10,000/5 = 2000
2000 sales * 5 = 10,000 commision

Roger ran eight laps around a 1/4 mile track during PE on Monday. How many feet did roger run in completing eight laps? (Remember there are 5280 feet in a mile)

Answers

Answer:

10,560

Step-by-step explanation:

8 x 1/4 --> 8/1 x 1/4

= 8/4 or 2

5,280 x 2 = 10,560

Suppose GDP is $12 trillion, taxes are $3.6 trillion, private saving is $1.5 trillion, and public saving is $0.8 trillion. Assuming the economy is closed, complete the following table by calculating consumption, government purchases, national saving, and investment. Component Amount (Trillions of dollars) Consumption Government Purchases National Saving Investment

Answers

Assuming this economy is closed: Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.

Gross domestic product

a. Consumption

Private S = ( Y – T – C )

C = Y - T - Private S

C = $12 - $3.6 - $1.5 =$6.9 trillion

b. Government purchases

Public S = ( T - G )          

G = T - Public S                                                        

G = $12 - $0.8

G = $11.2 trillion

c and d. National saving and investment

National savings = Public S + Private S

National savings = $0.8 + $1.5

National savings =$2.3 trillion

Investment=Savings=$2.3 trillion

Therefore, Consumption $6.9 trillion; Government Purchases $11.2 trillion; National Saving $2.3 trillion; Investment $2.3 trillion.

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Question 1



What is the coefficient of the variable in the expression 4 − 3x − 7 + 6?


−7

−3

4

6

Question 2



How many variable terms are in the expression 3x3y + 5x2 + y + 9? (Input a numeric value only.)


Numerical Answers Expected!


Answer for Blank 1:



Question 3

)

Which of the following best describes the expression 7x + 2y?


The sum of two products; there are two terms

The product of two sums; there are two terms

The sum of two products; there are four terms

The product of two sums; there are four terms

Question 4




What is the constant term in the expression 6x3y + 8x2 + 5x + 7? (Input a numeric value only.)


Numerical Answers Expected!


Answer for Blank 1:



Question 5


Which of the following best describes the expression 6(y + 3)?


The product of two constant factors six and three plus a variable

The sum of two constant factors six and three plus a variable

The product of a constant factor of six and a factor with the sum of two terms

The sum of a constant factor of three and a factor with the product of two terms

Question 6


Which expression shows a sum of four terms?


4 + x + 4 + x

x4

4(x + 4)

4x

Answers

Answer:

for 1 is -3

Step-by-step explanation:

Moving with a speed of v km/hour, a steam boat travels the distance between the
points A and B, which is 200 km, in t hours.
Find the formula which describes t as a function of v.

Answers

Answer:

  t = 200/v

Step-by-step explanation:

The relationship between speed, distance, and time is ...

  d = vt

Solving for t gives ...

  t = d/v

For a distance of d=200 km, the time in hours will be ...

  t = 200/v . . . . . . where v has units of km/hour

AYUDAAA PORFA , se entrega a las 4 porfavorrrrrr

Answers

What? Um uh ok I don’t speak Spanish sorry

Which fraction is equal to 0.3?

Answers

0.3 is equal to 3/10

Use the quadratic formula to solve for x.
3x2 + 2x - 6 = 0

Answers

Answer:

x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))

Step-by-step explanation:

Solve for x over the real numbers:

3 x^2 + 2 x - 6 = 0

Using the quadratic formula, solve for x.

x = (-2 ± sqrt(2^2 - 4×3 (-6)))/(2×3) = (-2 ± sqrt(4 + 72))/6 = (-2 ± sqrt(76))/6:

x = (-2 + sqrt(76))/6 or x = (-2 - sqrt(76))/6

Simplify radicals.

sqrt(76) = sqrt(4×19) = sqrt(2^2×19) = 2sqrt(19):

x = (2 sqrt(19) - 2)/6 or x = (-2 sqrt(19) - 2)/6

Factor the greatest common divisor (gcd) of -2, 2 sqrt(19) and 6 from -2 + 2 sqrt(19).

Factor 2 from -2 + 2 sqrt(19) giving 2 (sqrt(19) - 1):

x = 1/6(2 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6

In (2 (sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.

(2 (sqrt(19) - 1))/6 = (2 (sqrt(19) - 1))/(2×3) = (sqrt(19) - 1)/3:

x = (1/3 (sqrt(19) - 1)) or x = (-2 sqrt(19) - 2)/6

Factor the greatest common divisor (gcd) of -2, -2 sqrt(19) and 6 from -2 - 2 sqrt(19).

Factor 2 from -2 - 2 sqrt(19) giving 2 (-sqrt(19) - 1):

x = 1/3 (sqrt(19) - 1) or x = 1/6(2 (-1 - sqrt(19)))

In (2 (-sqrt(19) - 1))/6, divide 6 in the denominator by 2 in the numerator.

(2 (-sqrt(19) - 1))/6 = (2 (-sqrt(19) - 1))/(2×3) = (-sqrt(19) - 1)/3:

Answer:  x = 1/3 (sqrt(19) - 1) or x = (1/3 (-1 - sqrt(19)))

Observe the sequences below. I. 3, 6, 9, 12, ... II. 3, 9, 27, 81, III. 2, 4, 8, 16, ... IV. 3, 5, 7, 9, Which of these are geometric sequences? III only O Il and me II and IV O I and IV​

Answers

Observe the sequences below. I. 3, 6, 9, 12, ... II. 3, 9, 27, 81, III. 2, 4, 8, 16, ... IV. 3, 5, 7, 9, Which of these are geometric sequences? III only O Il and me II and IV O I and

3. At the school dance the ratio of
students who bought snacks to the
students who did not buy snacks is 4 to 6.
Based on this ratio, how many of these
students would buy a snack if there were
a total of 180 students that attended the
dance?

Answers

Answer:

120 students did not buys a snack :)

Step-by-step explanation:

The easiest way to do this is divide :)

Now lets solve!!

180/6 = 30

Now we multiply!!

30 x 4 = 120

Have an amazing day!!

Please rate and mark brainliest!!

Which equation represents a line which is perpendicular to the line y = – 4/5+ 2
5x + 4y = 28
4x - 5y =-25
4y – 5x = -12
4x + 5y = -30

Answers

Start by putting equations in y equals form.
Add opposite sign x to the other side.
Divide by coefficient of y.
Y equals 7 minus 5/4X
Y equals 5 minus 4/5x
Y equals -3 plus 5/4X
Y equals -6 minus 4/5x
Perpendicular line is opposite slope.
Have -4/5 so want 5/4 as slope.
Only one is possible because of + sign.
The answer is the third one.
Mark as the best answer!

M6003
Which expression shows 48 +66 rewritten as the greatest common factor multiplied by the sum of two
1.
numbers?
OA. 3(16 +22)
OB. 3(45 + 63)
O C. 6(8 + 11)
O D. 6(42 + 60)

Answers

The expression is rewritten as the greatest common factor multiplied by the sum of two numbers is: 6*(8 + 11)

How to rewrite the expression?

First, we need to find the greatest common factor between 48 and 66.

To find it, we can write both of these as a product of its prime factors, we get:

48 = 2*24 = 2*2*12 = 2*2*2*6 = 2*2*2*2*3

66 = 2*33 = 2*3*11

The greatest common factor that we can make is 2*3 = 6

Then we rewrite the numbers as:

48 = 6*8

66 = 6*11

Now we can rewrite our expression:

48 + 66 = 6*(8 + 11)

So the correct option is C

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What is the equation of the line?
O y = 3x

O Y= 1/3x

O y=1/3x+2

O y = 3x+2

Answers

y = 1/3x + 2

Y = Mx + b
b would equal a positive 2 since the graph starts two units of the x-axis.

Then use the rise over run method for the rest. This means you up up 1 unit and three units to the left or 1/3.

Natasha cut a round pizza into 8 equal slices .What is the angle measure of each slice?Write and solve an equation.

Answers

A circle has 360 degrees
Therefore 8a = 360, where a is each angle
If we divide both sides by 8 we get a = 45, so each angle is 45 degrees

if a man is 6"2 in height and shrinks 3 inches how tall is he now?

Answers

Answer:

5"11

Step-by-step explanation:

6 foot 2 inches minus 3 inches is 5 foot 3 inches

Answer:

5'11

Step-by-step explanation:

Paul invests £500 at a rate of 1.5% per year compound interest.

Find the value of the investment after 3 years.
Give your answer correct to the nearest penny.

Answers

Tthe value of Paul's investment after 3 years would be equal to 52,285 penny.

How to calculate compound interest?

Mathematically, compound interest is calculated by using this formula:

[tex]A=P(1+r )^{t}[/tex]

Where:

A is the future value.P is the principal.R is the interest rate.T is the time measured in years.

Given the following data:

Principal = £500.

Time = 3 years

Interest rate = 1.5% = 0.015.

Substituting the given parameters into the formula, we have;

A = 500(1 + 0.015)³

A = 500(1.015)³

A = 500 × 1.0457

A = £522.85.

Conversion:

100 penny = 1 pounds.

X penny = 522.85 pounds.

Cross-multiplying, we have:

X = 522.85 × 100

X = 52,285 penny.

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4. A pet store has 11 lizards, with these lengths in inches:
5 1/2, 5 3/4, 5 3/4, 5 7/8, 5 7/8, 6, 6 1/8, 6 1/8, 6 1/8, 6 1/4, 6 3/8


Draw a line plot for this data

Answers

Answer/Step-by-step explanation:

Before we draw a line plot for this data we first need to put then from least to greatest. As well as how many number are each.

Given the following data:

5 1/2

5 3/4

5 3/4

5 7/8

5 7/8

6

6 1/8

6 1/8

6 1/8

6 1/4

6 3/8

We can see that we have:

5 1/2 {1}

5 3/4 {2}

5 7/8 {2}

6    {1}

6 1/8{3}

6 1/4 {1}

6 3/8 {1}

Now put the following from least to greatest:

5 1/2 {1}

5 3/4 {2}

5 7/8 {2}

6 {1}

6 1/8{3}

6 1/4  {1}

6 3/8{1}

We can see that they already in order thus, let put it on a line plot from least to greatest.

     

~learn with lenvy~

Drag each expression to show whether it is equivalent to 36x + 9 or 9(4x – 1).

Answers

The answer is below!!

Equivalent expressions of  36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression  is 36x+9

Thirty six times of x plus nine.

In the expression x is the variable and plus is the operator.

Equivalent expressions are expressions that work the same even though they look different.

The equivalent expression of  36x+9 are 9(4x+1)

and 9.4x +(9.1) we get this factoring the expression.

Now the other expression is 36x-9

Thirty six times of x minus nine.

Minus is the operator in the expression.

The equivalent expressions are 9(4x-1) and 9.4x-(9.1)

Hence,  equivalent expressions of  36x+9 are 9(4x+1) and 9.4x +(9.1) and for 36x-9 the equivalent fractions are 9(4x-1) and 9.4x-(9.1)

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ok HARDEST MATH PROBLEM 2+2

Answers

Answer:

I dont know i think its 5

Step-by-step explanation:

Answer:

4 :)

Step-by-step explanation:

Choose which statements are true:

I. Every parallelogram is a rhombus.

II. Every rhombus is a parallelogram.

III. Every quadrilateral has 4 sides.

Answers

Answer:

II. Every rhombus is a parallelogram.

III. Every quadrilateral has 4 sides.

Step-by-step explanation:

        Not all parallelograms are rhombuses because a rhombus needs to have equal sides, but a parallelogram does not.

        The definition of a rhombus is "a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides" so all rhombuses are parallelograms.

        The definition of a quadrilateral is having four sides, so all quadrilaterals will have four sides.

brayden saves 1500 at a yearly simple interest rate of 2.5. how many years doess it take for the amount he has served to be double the original


I WILL GIVE U 100 POINTS

Answers

Answer:

80 years

Step-by-step explanation:

(.025)*n = 2     solve for n  

80 years he will most likely be dead by then.

The radius of a circle is 5 meters. What is the length of a 180° arc?

Answers

Answer:

10 meters

Step-by-step explanation:

180° arc makes semi circle then it's diameter equal to its arc .

Find the area
A. 100
B. 112
C. 224
D. 46

Answers

Answer:

a). 100

Step-by-step explanation:

Finding d₁ and d₂

d₁ = r₁ x 2 = 5 x 2 = 10d₂ = r₂ x 2 = 10 x 2 = 20

Finding Area

A = 1/2 x d₁d₂A = 1/2 x 10 x 20A = 1/2 x 200A = 100

A grain silo has a cylindrical shape. Its radius is 9 ft, and its height is 41 ft. What is the volume of the silo?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

Answer:

As Per Provided Information

Radius of cylindrical shape silo 9 ft

Height of cylindrical shape silo 41 ft

We have been asked to determine the volume of cylindrical silo .

[tex] \boxed{\sf \: Volume_{(Cylindrical\:Silo)} = \pi {r}^{2}h}[/tex]

Substituting the given value in above formula and we obtain

[tex] \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times {9}^{2} \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 81 \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 3321 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10427.94 \: {ft}^{3} \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10428 \: {ft}^{3}[/tex]

Answer:

Volume is 10428 cubic ft.

Step-by-step explanation:

Given :-

Radius of grain silo is 9ft and height is 41ft

To find:-

Volume of grain silo

Solution:-

Volume of cylindrical grain silo :- πr²h

Putting the known values ,

Volume:- 3.14 × 9² × 41 cubic ft.

Volume :- 10427.94 cubic ft.

rounding off to nearest whole number ,

Volume :- 10428 cubic ft.

Find two integers whose sum is 11 and whose product is 30.

Answers

5 + 6 = 11

5 x 6 = 30

The sum of two numbers is 55. Their difference is −1. Find the numbers.

Answers

Step-by-step explanation:

lets say the first is x and the second is y then we can say

x+y=55 ......1

x-y= -1 .......2

by adding 1 with 2 then

x+y+x-y=55+(-1)

==> 2x= 55-1=54

==> x= 54/2=28

if we put x=28 in the 2nd equation then

28-y= -1

==> y=29

I WILL GIVE BRAINLY
Rectangle ABCD is plotted on a coordinate plane. The coordinates of A are (2, 3) and the coordinates of B are (– 2, 3). Each unit on the coordinate plane represents 3 centimeters, and the perimeter of Rectangle ABCD is 48 centimeters. Find the coordinates of Points C and D given these conditions:aPoints C and D are below Points A and B.bPoints C and D are above Points A and B.7Rectangle PQRS is plotted on a coordinate plane.

Answers

mark as brainliest please :)

|x+3/4|= 5 6/7 please help with this question from 6.2 russian mathemetics school

Answers

Answer:

143/28 or -185/28

Step-by-step explanation:

Negative case

-(x+3/4))=(41/7)

-x-(3/4)=(41/7)

-x=(185/28)

x=-(185/28)

Positive case

(x+(3/4))=(41/7)

x=(143/28)

lol this was easy r u sure its 6 grade?

Answer:

143/28 or -185/28

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

AB = 13 meters

Step-by-step explanation:

AB is congruent to AC and AC is 13 meters so that's what AB would be

express secA in terms of tanA​

Answers

Answer:

[tex] { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]

Step-by-step explanation:

[tex] { \sec}^{2} A = 1 + { \tan}^{2} A \\ \\ \implies \: { \sec} A = \sqrt{1 + { \tan}^{2} A } [/tex]

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