Match each pairs of rational

Match Each Pairs Of Rational

Answers

Answer 1

Answer:

Refer to step-by-step.

Step-by-step explanation:

To find the LCD of the different fractions, we first need to follow the steps of finding the LCD of algebraic fractions.

1st step: Factor

You need to factor out the expressions if they do not have a difference of two squares.

2nd step: Find the LCD of the coefficients.

You need to find the LCD of the coefficients before moving onto the variables.

3rd step: The variable part of the LCD will be every single variable you see, with the highest exponent.

So let's begin, since all the given denominators are already factored out, we can proceed straight to step 2.

[tex]\dfrac{5}{9m^{2}n}and\dfrac{5}{16mn^{3}}[/tex]

Now since we're dealing with the denominators, let's focus on them alone.

The LCD of 9 and 16 is 144

The LCD of variables m² and m is m²

The LCD of variables n and n³ is n²

So the LCD of the algebraic fractions [tex]\dfrac{5}{9m^{2}n}and\dfrac{5}{16mn^{3}}[/tex] is:

144m²n³

Now to the next one.

[tex]\dfrac{5+m}{8m^{4} n^{2} }and\dfrac{5+n}{18m^{2} n^{4} }[/tex]

The LCD of 8 and 18 is 72

The LCD of variables [tex]m^{4}[/tex] and m² is [tex]m^{4}[/tex]

The LCD of variable n² and [tex]n^{4}[/tex] is [tex]n^{4}[/tex]

So the LCD of the algebraic fractions [tex]\dfrac{5+m}{8m^{4} n^{2} }and\dfrac{5+n}{18m^{2} n^{4} }[/tex]is:

[tex]72m^{4} n^{4}[/tex]

Next one we have:

[tex]\dfrac{m+n}{12mn}and\dfrac{n+m}{18m^{3}n }[/tex]

The LCD of 12 and 18 is 36

The LCD of m and m³ is m³

The LCD of n and n is n

So the LCD of the algebraic fractions [tex]\dfrac{m+n}{12mn}and\dfrac{n+m}{18m^{3}n }[/tex] is:

36m³n

Last but not the least.

[tex]\dfrac{m-n}{24mn^{4}}and\dfrac{m-n}{16m^{4}n }[/tex]

The LCD of 24 and 16 is 48

The LCD of m and [tex]m^{4}[/tex] is [tex]m^{4}[/tex]

The LCD of [tex]n^{4}[/tex] and n is [tex]n^{4}[/tex]

So the LCD of the algebraic fractions [tex]\dfrac{m-n}{24mn^{4}}and\dfrac{m-n}{16m^{4}n }[/tex] is:

[tex]48m^{4} n^{4}[/tex]


Related Questions

Which property is illustrated by the following statement? If zxy=fde

Answers

The correct answer is the Transitive property

Answer:transitive

Step-by-step explanation:a p e x

28+87 divided by 3•2 to the third power

Answers

Answer: =86

Step-by-step explanation:

* Hopefully the picture helps:) Mark me the brainliest:)

∞ 234483279c20∞

After solving the expression, the value get will be equal to 38.33.

What is an arithmetic operation?

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the given data,

28+87 = 115

Then it is divided by 3

115/3 = 38.33

The value obtained is equal to 38.33.

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pls help ✨ , im struggling , show work too pls (I WILL GIVE OUT BRAINLIEST)

Answers

Answer:

First shape : 204cm^2

Second shape : 57in^2

Step-by-step explanation:

For the first shape :

The front and back triangles are 3 * 8 / 2 which gives us 12 on each side.

The side rectangles are 5 * 10 which is 50 on each side.

The bottom rectangle is 10 * 8 which is 80.

Add them all up and you get 204.

For the second shape :

The triangles are all congruent and the area is 3 * 8 / 2, so we get 12 on each side.

Then the bottom square is 3^2, which is 9.

Add them all up together and you get 57.

I need help with this problem for math. 15 points!

Answers

I think it's 75 if wanting to add up to 180

Since the figure is supplementary angle it adds has to add up to 180 so u would simple do 180-105 and get 75

What is the area of this figure?

Answers

you would take 264+77+150=491in2

The answer is 491in squared

Is the sequence geometric ? -48,96,-192,384...

Answers

Answer:

yes

Step-by-step explanation:

If the sequence is geometric then the common ratio r between consecutive terms will be equal.

[tex]\frac{96}{-48}[/tex] = - 2

[tex]\frac{-192}{96}[/tex] = - 2

[tex]\frac{384}{-192}[/tex] = - 2

The common ratio between terms = - 2

Hence the sequence is geometric

Find the area of the figure
A)75in^2
B)70in^2
C)65in^2
D)80in^2

Answers

Answer: B, 70 inches.

Step-by-step explanation:

Let's start slow and go shape by shape.

Based on the information we have, we know that the length for the rectangle is 8 inches by 7 inches. 8*7 = 56, so we have one of the answers.

Next, we do the triangle. Based on the information we have, we know that the triangle is 4 inches by 7 inches divided by 2. 4*7 = 28 [tex]\frac {28}{2} = 14[/tex]

Adding 14 and 56, we got the answer to be B, 70 inches.

Tickets cost $36 each. this is 60% of the cost of the regular price what is the cost of the regular price?

Answers

Answer:

$60

Step-by-step explanation:

regular price=x

60% of x = 36

60/100 * x= 36

x=36/0.6

x=60

What is the solution set to this inequality, where x is a real number: -4x (less than or equal to ) 36

Answers

Answer:

The answer is negative nine

Step-by-step explanation:

When it comes to x = ?, divide the ANSWER by the mulitplicand. Example, -4x = 36 can be translated to 36 = -4 TIMES X, which here you have to use your head. Negatives cancel each other and the answer is positive, therefore -4 * -9 = 36.

Since it’s an inequality you will NOT be looking for what X equals.

Starting with -4x<36 (just assume it’s the less than equal to sign)
Divide both sides by -4 (because the 4 is negative you will also flip the sign)
Now you have
X (greater than or equal to) -9
This is your final answer

x (> or =) -9

Which dose not appear in an algebraic expression

Answers

An equal sign.

If there was an equal sign kt would turn into an algebraic equation imstead of an expression.

Happy to help! Marking my answer as the Brainliest would really be aprreciated.

write 6 over 10 in simplest form

Answers

Answer:

[tex]\frac{6}{10} = \frac{3}{5}[/tex]

Step-by-step explanation:

You have to divide this by "2"

Answer: 3/5

Step-by-step explanation: 6/10 can be divided by 2 because they are both even numbers then when you can no longer divided them it is simplified

what is the value of x? (2x-2) (3x-52)

Answers

Answer:

x = 54

Step-by-step explanation:

2x + 2 = 3x - 52

-2x -2x

2 = x - 52

2+52 = x-52 +52

54 = x

Uno de los triángulos agudos de un triángulo rectángulo mide 18° más que el otro. ¿Cuánto mide cada ángulo del triángulo?

Answers

Do u want me to translate it or what???

180 grados Es la suma de los Mides de los angulos del triangulo

180 = 90 + x + (x +18)
180 = 2x +108
-108 -108
62 = 2x
31 = x

Los angulos miden 31, 49 (31+18), y 90

A point represents a _____.

Answers

Location on a coordinate grid.

A point is a set of two values, an x value and a y value. These are used to locate a point on a coordinate grid.

Answer:

A point represents a place/location.

Step-by-step explanation:

A point is used to locate a place in a map. It has no length, width and height.

The point is an undefined term. We use the point as undefined term and using the point we define line, line segment, angle and so on.

So a pointed represented location in a xy-coordinate plane.

Plz help !! Needed to graduate

Answers


[tex] \frac{ \sqrt{ - 12} }{ \sqrt{6} } = i \sqrt{2} [/tex]
the answer to the question

Answer:  c. i√2

Step-by-step explanation:

[tex]\dfrac{\sqrt{-12}}{\sqrt6}=\dfrac{\sqrt6\cdot \sqrt{-2}}{\sqrt6}=\sqrt{-2}=\boxed{i\sqrt2}[/tex]

factor 2x^2 + 7x+3
a: (2x+2)(x+1)
b:(2x+3)(x+1)
c:(2x+1)(x+3)

Answers

Split the second term in 2x^2 + 7x + 3 into two terms

2x^2 + 6x + x + 3

Factor out the common terms in the first two terms, then in the last two terms;

2x(x + 3) + (x + 3)

Factor out the common term x + 3

= c: (2x + 1)(x + 3)

The Johnson family drove 52 miles on 4 gallons of gasoline. Which of the following equations can be used to find how far they can travel on a full tank of 15 gallons?

Answers

Answer:

y = 13x

Step-by-step explanation:

First we need to take the number miles the Johnson family drove and divide it to the number of gallons of gasoline used to find how many miles per gallon

Miles per gallon = 52/4

Miles per gallon = 13

Now that we know how many miles per gallon, let's make an equation to find how much they can travel on a full tank of 15 gallons.

Let y = number of miles traveled

Let x = number of gallons

y = 13x

Now let's see how much they can travel in 15 gallons.

y = 13x

y = 13(15)

y = 195 miles

So the Johnson family can drive 195 miles on a full tank of 15 gallons of gasoline.

Heather has to solve this system of equations using elimination. What should be her first step? 3x+6y = 12 x+5y = 10

Answers

Final answer:

To solve the given system of equations using elimination, Heather's first step should be to manipulate the equations so that the coefficients of one of the variables (x or y) are the same in both equations. She can achieve this by multiplying the second equation by 3.

Explanation:

Heather has to solve the system of equations using elimination. The given equations are 3x+6y = 12 and x+5y = 10. The first step in solving these equations using the elimination method should be to manipulate the equations so that the coefficients of one variable are the same or additive inverses.

This allows one to eliminate that variable by adding or subtracting the equations. In this scenario, an efficient approach would be to multiply the second equation by 3, which makes the coefficients of x the same in both equations. Hence, the equations become 3x + 6y = 12 (unchanged) and 3(x + 5y) = 3(10), which simplifies to 3x + 15y = 30. This prepares the equations for the next step in the elimination process, which involves subtracting one equation from the other to eliminate the x variable.

perform all the steps to evaluate this expression. (6^7)(3^3)/(6^6)(3^4) What is the value of the expression?

Answers

Final answer:

To evaluate the expression (6^7)(3^3)/(6^6)(3^4), simplify each term, resulting in 6^10 / 6^10, which equals 1.

Explanation:

To evaluate the expression (6^7)(3^3)/(6^6)(3^4), we can simplify each term first. The numerator can be simplified as (6^7)(3^3) = 6^(7+3) = 6^10. The denominator can be simplified as (6^6)(3^4) = 6^(6+4) = 6^10. Therefore, the expression simplifies to 6^10 / 6^10, which is equal to 1. So the value of the expression is 1.

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The lines graphed below are parallel the slope of the red line is 3 what is the slope of the green line

Answers

Answer:

[tex]\large\boxed{m=3}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\--------------------------\\\\\text{We have the slope of the red line}\ m_1=3.\\\\\text{Then the slope of the green line}\ m_2=3[/tex]

PLEASE HELP! all you need to do is drag the things in the correct order....

Answers

Answer:

16*j+4

16+8*4

16+32

48

Step-by-step explanation:

Find the distance of each data value in Exercisen1 from the mean. Then find the mean absolute deviation of the data.

Answers

Answer:

Sorry, I don't know the answer to the distance, but the MAD is 5.1666666666667, or just 5 rounded to the nearest one.

Step-by-step explanation:

what adds to 0 and miltiplies to -49?​

Answers

7 and -7

7 + (-7) = 7 - 7 = 0
7 * -7 = -49

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Select the three expressions that give the area of the figure in square units

Answers

Answer:

the top middle and two at the bottom

Please help me

Determine the value of base b if (152)b = 0x6A. Please show all steps.

Answers

Answer:

The value of b is, 8

Step-by-step explanation:

To determine the value of b:

Given:

[tex](152)_b = 0x6A[/tex]               ....[1]

Since, 0x6A represents the hexadecimal form.

To convert this hexadecimal form into decimal form:

[tex](6A)_{16}= (6 \times 16^1)+(A \times 16^0)=(6 \times 16)+(10 \times 1) =96+10 = 106[/tex]

⇒[tex]0x6A=106[/tex](decimal form)

Now we have to convert this decimal form into octal

8  |  106

8   |  13   | 2

    |   1    |  5

        1

Then, the octal form we get, [tex](152)_8[/tex]

Substitute this in [1] we have;

[tex](152)_b = (152)_8[/tex]

On comparing both sides we have;

b = 8

Therefore, the value of b is, 8

A survey of 120 middle schools showed that 30% have a foreign language program. How many schools have a foreign language program?

Equation:

Solution:

Answers

Answer:

36

Step-by-step explanation:

Equation:  Schools with foreign language program = 0.30(120 middle schools).

Solution:      "                                                                = 36

36 of these 120 middle schools have a foreign language program.

Answer:

36 schools have a foreign language program

Step-by-step explanation:

Equation: 30/100 *120=x

Solution: 3600/100=x

               36=x

If 8a+7b+c=9 then what is -6c-48a-42b

Answers

Your answer would be 6

John paid $222 for four hours of skiing and two hours boating. He paid $213 for two hours skiing and three hours boating. What is the cost pero hour of each activity?

Answers

Answer:

Skiing costs $30 per hour and Boating costs $51 per hour.

Step-by-step explanation:

Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.

"John paid $222 for four hours of skiing and two hours boating":

[tex]4x+2y=222[/tex]

"He paid $213 for two hours skiing and three hours boating":

[tex]2x+3y=213[/tex]

Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y. Work shown below.

[tex]2x+3y=213\\2x=213-3y\\x=\frac{213-3y}{2}\\Equation 1: 4x+2y=222\\Substituting :\\4(\frac{213-3y}{2})+2y=222\\2(213-3y)+2y=222\\426-6y+2y=222\\426-222=6y-2y\\204=4y\\y=\frac{204}{4}=51[/tex]

Hence, y = 51

Now, substituting this y value into the 1st equation and solving for x will give us the value of x.

[tex]First Equation: 4x+2y=222\\4x+2(51)=222\\4x+102=222\\4x=222-102\\4x=120\\x=\frac{120}{4}=30[/tex]

Hence, skiing costs $30 per hour and boating costs $51 per hour.

what is the axis of symetry given f(x)=x^2+4x-19

Answers

Answer:

x = -2

Step-by-step explanation:

The formula for the axis of symmetry is;

x = -b/2a

In this case;

b = 4 , a = 1

Therefore;

x = -4/2(1)

  = -2

Thus; the axis of symmetry is x = -2

Answer:

x = -2 is the axis of symmetry.

Step-by-step explanation:

We have given the function:

f(x)=x²+4x-19

We have to find the axis of symmetry.

We know that the formula for axis of symmetry is:

x = -b /2a

In this equation, b = 4 , a = 1

Putting these values we get,

x = -4/2(1)

x = -4/2

x = -2

x = -2 is the axis of symmetry of this function.

The sum of 6 consecutive integers is 519.

Answers

One way to do this is to consider what the average of these integers is. It would be 519/6, or 86.5. This means the six integers are "centered" around 86.5: they would be 84, 85, 86, 87, 88, and 89 (there are three numbers greater than 86.5 and three less than 86.5 in this list).

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