Rationalize the denominator and simplify. 6 /5-3

Answers

Answer 1

Final answer:

To rationalize the denominator and simplify the expression 6 / (5-3), multiply the numerator and denominator by 1/2. Then, simplify the expression to get 3/1 = 3.

Explanation:

To rationalize the denominator and simplify the expression 6 / (5-3), we can start by multiplying the numerator and denominator by a skillfully chosen factor. In this case, we can choose 1/2 as the factor.

The numerator becomes 6 * 1/2 = 3, and the denominator becomes (5-3) * 1/2 = 2/2 = 1.

Therefore, the simplified expression is 3/1 = 3.


Related Questions

What type of scan tool is shown in the above photograph?

A. Laptop computer adapter
B. Factory scan tool
C. Bluetooth interface
D. Generic scan tool

Answers

Final answer:

The scan tool shown in the photograph is a factory scan tool, which is designed for use with a specific brand or model of vehicle. It provides advanced diagnostics and requires a separate adapter to connect to a device. Generic scan tools are more affordable but have limited functionality.

Explanation:

The scan tool shown in the photograph is a factory scan tool. Factory scan tools are specifically designed for use with a particular brand or model of vehicle.

They provide access to advanced diagnostics, including reading and clearing fault codes, monitoring live data, and performing special functions.

Factory scan tools are usually more expensive than generic scan tools, but they offer more comprehensive and accurate information for troubleshooting specific vehicle systems.

They often require a separate adapter or cable to connect to a laptop or other device.

In contrast, generic scan tools are more affordable and can work with multiple vehicle brands.

They typically have limited functionality and may not be able to access all the features and functions of a factory scan tool.

The type of scan tool that is shown in the above photograph is  Bluetooth interface. Option C

Bluetooth interfaces are commonly used as scan tools for connecting to onboard diagnostics (OBD) systems in vehicles wirelessly.

They can be paired with compatible software on devices like smartphones or tablets, allowing users to retrieve diagnostic information from the vehicle's computer system.

This technology provides convenience and flexibility for automotive diagnostics.

Can someone help me with this

Answers

Hello There!

Your answer is the last option r*n^2

I plugged in the values for each of these dilations.

Two cylinders. The smaller cylinder has height labeled as 1 cm. The larger cylinder has height labeled as 3 cm.

The cylinders are similar. The volume of the larger cylinder is 2106 cubic centimeters. What is the volume of the smaller cylinder?



93 cm3


81 cm3


78 cm3


65 cm3

Answers

Answer: third option.

Step-by-step explanation:

You know that the height of the smaller cylinder is 1 cm and the height of the  larger cylinder is 3 cm, then you can find the volume ratio. This  is:

[tex]Volume\ ratio=(\frac{1\ cm}{3\ cm})^3\\\\Volume\ ratio=\frac{1}{27}[/tex]

Knowing that the volume of the larger cylinder is 2,106 cubic centimeters, you need to multiply it by the volume ratio to find the volume of the smaller cylinder.

Therefore:

[tex]V_{smaller}=\frac{1}{27}(2,106\ cm^3)\\\\V_{smaller}=78\ cm^3[/tex]

ANSWER

The correct answer is C

EXPLANATION

We have that, the smaller cylinder has height 1 cm and the larger cylinder has height 3cm.

The scale factor of similarity is

[tex]k = \frac{1}{3} [/tex]

That's if the smaller cylinder is the image.

The volume of the larger cylinder is 2106 cm³.

To find the volume of the smaller cylinder, we multiply the volume of the larger cylinder by k³

[tex]( { \frac{1}{3} })^{3} \times 2106 {cm}^{3} [/tex]

[tex]{ \frac{1}{27} } \times 2106 = 78 {cm}^{3} [/tex]

EASY QUESTION PLEASE HELP

Answers

Answer:

Yea its table 1

Step-by-step explanation:

Answer:

The answer is the first table, or Table 1.

Step-by-step explanation:

Happy to help! c:

Please help me on this I’m so tired and I can’t sleep until my progress is at 80 and this is the end of my year it’s at 79%

Answers

Answer:

The answer is the bottom left

Lilly and Laura pooled their money to purchase
their brother, Liam, a video game for his birthday.
The video game cost a total of $45. If Laura was
only able to contribute of what Lilly did, how
much did Laura put toward the present?​

Answers

Answer: $22.50

Step-by-step explanation: let x represent the amount Laura and Lilly contributed each. If Laura and Lilly contributed the same amount, x+x=2x=45. If 2x=45, divide both sides by 2 to find the value of x. 45/2= 22.5.

Final answer:

Laura contributed $15 toward the purchase of the video game.

Explanation:

The question is asking to determine the amount contributed by Laura to buy a video game for their brother, Liam, if the entire cost of the game is $45 and Laura contributed half as much as Lilly. For simplicity, let's assume Lilly contributed x dollars. Then Laura, contributing half as much, would have contributed x/2 dollars. Given that their total contribution is $45, we set up the equation x + x/2 = 45. Solving for x, we find that Lilly contributed $30 and Laura, half of this, contributed $15.

Learn more about Proportions here:

https://brainly.com/question/34018947

#SPJ3

A grocery store donated 60 dozen hot dog rolls to the local Youth Baseball League for their Opening Day ceremonies. A total of 679 hotdogs were served. (Hint: a dozen contains 12 items) a) How many dozen rolls were used? (Express your answer in mixed number form)

Answers

Answer:

7 7/12

Step-by-step explanation:

Find the amount of rolls in all that were donated:

60 x 12 = 720.

The total amount used is 679. Subtract 679 from 720:

720 - 629 = 91.

Find the amount per dozen. Divide 91 with 12:

91/12 = 7 7/12

7 7/12 is your answer.

~

Final answer:

The local Youth Baseball League used 56 dozen rolls with 7 extra rolls for a total of 679 hot dogs, which is expressed as 56 7/12 dozen.

Explanation:

The local Youth Baseball League served a total of 679 hot dogs using rolls from the grocery store.

If a dozen represents 12 items, we need to calculate how many dozens of rolls were used in this circumstance.

Since 679 hot dogs were served and each dozen contains 12 rolls, we can divide 679 by 12 to find the number of dozens.

Dividing 679 by 12, we get:

679 ÷ 12 = 56 dozens with a remainder of 7.

Therefore, 56 dozen rolls were fully used, with an additional 7 rolls from another dozen.

To express this in mixed number form, it would be 56 7⁄12 dozen rolls.

Help me please with this

Answers

Answer:

(b) 240

Step-by-step explanation:

First, we use the Pythagorean formula using the given side lengths to find x. Then we use x to find the side lengths. Then we add the side lengths to find the perimeter.

Pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

We see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. The only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

Replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

What is the solution to this Logarithmic Equation?
(Those are L's infront of the N)
ln x + ln x = 0

Answers

Answer:

x = 1

Step-by-step explanation:

ln x + ln x = 0

2ln x = 0

ln x = 0

recall ln x = [tex]log_{e}[/tex]x

so equation becomes

[tex]log_{e}[/tex]x = 0

or [tex]e^{0}[/tex]=x

since anything raised to the power of zero = 1

x = 1

Answer:

x = 1

Step-by-step explanation:

We are to find the solution of the following logarithmic equation:

[tex] ln ( x ) + l n ( x ) = 0 [/tex]

We will add the similar elements to get:

[tex] 2 l n ( x ) = 0 [/tex]

Dividing both sides by 2 and simplify to get:

[tex] \frac { 2 l n ( x ) } { 2 } = \frac { 0 } { 2 } [/tex]

[tex]ln(x)=0[/tex]

Applying the rule [tex]a=log_b(b^a)[/tex] to get:

[tex]0=ln(e^0)=ln(1)[/tex]

[tex]ln(x)=ln(1)[/tex]

Here the logs have the same base, so:

x = 1

Help me I need to pass so I can go on to the next thing plz someone help me​

Answers

Answer:

i cant see the picture

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The scale factor is the ratio of the corresponding sides of the image to the original, that is

scale factor = [tex]\frac{CA'}{CA}[/tex] = [tex]\frac{4+16}{4}[/tex] = [tex]\frac{20}{4}[/tex] = 5

Rebecca has 45 coins, all nickels and dimes. The total value of the coins is $3.60. How many
of each type of coin does Rebecca have?

Answers

Answer:

Rebecca has 18 nickels and 27 dimes

Step-by-step explanation:

Let x be the number of nickels Rebecca has, then 45-x is the number of dimes she has.

The total value of Rebecca's coins is $3.60.

1 nickel - 5 cents

x nickels - 5x cents

1 dime - 10 cents

45-x dimes - 10(45-x) cents

Total x nickels and 45-x dimes is 5x+10(45-x) cents that is $3.60=360 cents. So,

5x+10(45-x)=360

5x+450-10x=360

5x-10x=360-450

-5x=-90

5x=90

x=18

45-x=45-18=27

What is the product of (3a + 2)(4a2 - 2a + 9)?
12a3 - 2a + 18
12a + 6a +9
1203 - 6a2 + 23a + 18
12a3 + 2a + 23a + 18

Answers

The answer is 12a3 + 2a + 23a + 18

To find the product of two expressions, we use the distributive property and multiply each term from the first expression with each term from the second expression, then combine the like terms.

The product of[tex](3a + 2)(4a^2 - 2a + 9) is 12a^3 - 6a^2 + 23a + 18.[/tex]

To find the product of two binomials, you can use the distributive property. In this case, you multiply each term in the first binomial, 3a and 2, by each term in the second binomial, 4a^2, -2a, and 9, and then combine like terms.

[tex](3a + 2)(4a^2 - 2a + 9) = 3a * 4a^2 + 3a * (-2a) + 3a * 9 + 2 * 4a^2 + 2 * (-2a) + 2 * 9[/tex]

Now, perform the multiplications:

[tex]12a^3 - 6a^2 + 27a + 8a^2 - 4a + 18[/tex]

Combine like terms:

[tex](12a^3 - 6a^2) + (27a - 4a) + 1812a^3 - 6a^2 + 23a + 18[/tex]

So, the product of[tex](3a + 2)(4a^2 - 2a + 9)[/tex]is indeed[tex]12a^3 - 6a^2 + 23a + 18.[/tex]

Learn more about Multiplying expressions here:

https://brainly.com/question/36915197

#SPJ2

Question 6 (5 points)







What is the slope of the line through (–4, 3) and (5, 3)?

Question 6 options:

a)
undefined

b)
0

c)
1

d)
9

Answers

[tex]\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-3}{5-(-4)}\implies \cfrac{0}{5+4}\implies \cfrac{0}{9}\implies 0[/tex]

Answer:

b  0

Step-by-step explanation:

To find the slope between 2 points

m= (y2-y1)/(x2-x1)

   = (3-3)/(5--4)

   = (3-3)/(5+4)

   = 0/9

  =0

The slope is 0

What is the approximate area of a circle with a radius of 11 m?

Answers

Answer:

380.13

Step-by-step explanation:

area= (pi)x(r^2)

pi times r squared

Answer:

380 m^2 to the nearest whole number.

Step-by-step explanation:

That would be 3.14 * 11^2

= 380 .

The teacher tells the class the highest marks obtained by a student in her class is twice the lowest marks plus 7 . the highest score is 87. what is the lowest score? (pls tell with example and formula) thanks! (i am in grade 7)!

Answers

Answer:

40

Step-by-step explanation:

highest=2(lowest)+7

Replace the variables here:

87=2(lowest)+7

minus 7 on both sides

80=2(lowest)

divide both sides by 2

40=lowest

The circle below is centered at the point (8, 4) and has a radius of length 4.
What is its equation?

Answers

Answer:

(x - 8)^2 + (y - 4)^2 = 16.

Step-by-step explanation:

The standard form can be written as:

(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the center and r = the radius.

So here we have a = 8, b = 4 and r = 4.

(x - 8)^2 + (y - 4)^2 = 4^2

(x - 8)^2 + (y - 4)^2 = 16.

What is -a^-2 if a = -5? (PLEASE HELP WILL MARK BRAINLIEST!!!)

Answers

Answer:

-1/25

Step-by-step explanation:

-a^-2

-(-5)^-2

=-1/25

What is the base of the exponential expression of 4 to the power of 5

Answers

Final answer:

The base of the exponential expression 4^5 is 4.

Explanation:

The base of an exponential expression refers to the number being raised to a power.

In the exponential expression 4 to the power of 5, the base is 4 because it is the number being multiplied by itself 5 times.

Therefore, the base of the exponential expression 45 is 4.

Learn more about base of an exponential expression here:

https://brainly.com/question/30240951

#SPJ12

Which functions could represent a reflection over the y axis of the given function

Answers

Answer:

g(x) = 1/2*(4)^(–x)          and

g(x) =1/2*(1/4)^(x)

Please, see attached picture.

Step-by-step explanation:

Your full question is attached in the picture below

To easily solve this problem, we can graph each equation and see, which one represents a reflection of the function over the y axis.

See, second image.

The answers are

g(x) = 1/2*(4)^(–x)          and

g(x) =1/2*(1/4)^(x)

Evaluate 2(x + 1) - 3 when x = 6.
ОА. 5
ов. 8
Ос. 11
OD. 10

Answers

Answer:

C. 11

Step-by-step explanation:

Evaluate 2(x + 1) - 3 when x = 6.

2(x + 1) - 3 <== substitute 6 for x

2(6 + 1) - 3 <== distribute 2

2(6) + 2(1) - 3

12 + 2 - 3 <== add and subtract

14 - 3

11 <== answer

Hope this helps!

Hey there!

2(x + 1) - 3

= 2(6 + 1) - 3

= 2(7) - 3

= 14 - 3

= 11

OR

2(x + 1) - 3

= 2(6 + 1) - 3

= 2(6) + 2(1) - 3

= 12 + 2 - 3

= 14 - 3

= 11


Therefore, your answer is: 11


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Solve the equation for x.
3(6x - 1) = 12 Please help I've tried doing the math and I can't find out what I'm doing wrong​

Answers

3(6x-1) = 12

18x -3 = 12
Add 3 over

18x = 15
X= 5/6

Check

3(6*5/6-1) = 12
3(5-1)= 12
3(4)= 12

Hope this helps!

Answer:

edg 2021 answer is A

Step-by-step explanation:

What is the slope of (0,32) and (100,212)

Answers

Answer:

( 212 - 0 )/ ( 100 - 32 ) = 212 / 68 = 3.11 ;

Step-by-step explanation:

Let m = slope

m = (delta y)/(delta x)

m = (212 - 32)/(0 - 100)

m = 180/(-100)

m = -180/100

You can reduce -180/100 to the lowest term. I'll let you do that.

What is the product of (2x-1)(x+4)

Answers

Answer:

[tex]\large\boxed{(2x-1)(x+4)=2x^2+7x-4}[/tex]

Step-by-step explanation:

[tex](2x-1)(x+4)\qquad\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(2x)(x)+(2x)(4)+(-1)(x)+(-1)(4)\\\\=2x^2+8x-x-4\qquad\text{combine like terms}\\\\=2x^2+(8x-x)-4\\\\=2x^2+7x-4[/tex]

Which statement best describes a square?

A. A special rectangle that has four right angles

B. A special trapezoid that has four sides of equal length

C. A special rectangle that has four sides of equal length

D. A special trapezoid that has four right angles

Answers

Answer:

I believe its B

I hope this helped :)

option C.

The statement that best describes a square is: A special rectangle that has four sides of equal length. This statement aligns with the definition of a square within the field of geometry, where a square is understood as a type of rectangle with all sides being the same length. Therefore, the correct answer is C. A special rectangle that has four sides of equal length.

A square indeed has four right angles, similar to a rectangle. By extension, it has congruent opposite sides and equal angles, but the defining feature that differentiates a square from other rectangles is the fact that all four sides are of equal length. The concept of rectangles forming squares can be seen in the given reference, implying that equal rectangles can be arranged to form a square - a concept important in understanding how a square is a special case of a rectangle.

A wave with a height of 5 feet and a wavelength of 10 feet has a wave base of
A. 20 feet
B. 10 feet
C. 5 feet
D. 2.5 feet

Answers

Answer:

A.

Step-by-step explanation:

Answer:

C. 5 feet

Step-by-step explanation:

If a wave with a height of 5 feet and a wavelength of 10 feet has a wave base of 5 feet.

B = x/2 = 10ft/2 = 5 feet

HELP! i'll give brianliest and lots of points, and if u will explain, explain it so a dumb person can understand, if u can't then just give me a straight answer

Part A: Eveline rented a car at $180 for 4 days. If she rents the same car for 9 days, she has to pay a total rent of $325.

Write an equation in the standard form to represent the total rent (y) that Eveline has to pay for renting the car for x days.

Part B: Write the equation obtained in Part A using function notation.

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.

Answers

Answer:

Step-by-step explanation:

There is a standard cost just for renting the car.

Let the daily cost = x

Let the addon be = z The add on is the amount they charge just to give you the keys and do the paper work. It might include insurance.

y = z + 4x

y = 180

z = ??

x = 4

y = 325

z = ??

x = 9

Equation 1: 180 = z + 4x

Equation 2:325 = z + 9x

Subtract (1) from (2)

325 = z + 9x

180 = z + 4x                         Subract

145 = 5x                               Divide by 5

145/5 = 5x/5

x = 29

What you have found is the daily cost. Now you have to find the fixed cost.

y = 29x + z

180 = 29*4 + z

180 = 116 + z                  Subtract 116 from both sides

180 - 116 = z

z = 64

Answer: Part A

y = 29x + 64

Part B

f(x) = 29x + 64

Part C

So what are the intervals?

Vertically each square is worth:

Horizontally: each square is worth.

How is the y axis labeled?

How is the x axis labeled? [e

Graph the points by letting

x = 2 days

x = 4 days

x = 6 days

I'm including the graph. You should be able to answer it just by looking at the graph. No single answer will be wrong. There are all sorts of ways of setting up the axis.

 

What is 2^(4/3)
equal to?

Answers

Answer:

∛16

Step-by-step explanation:

First, remember that the denominator always goes outside the radical and the numerator inside. so with that, it looks like this.

∛2^4

simplify.

∛16

What will be the coordinates of vertex A of the image?

Answers

Answer:

(1.0)

Step-by-step explanation:

we know that

The scale factor of the dilation is 0.25 ----> given problem

The coordinates of point A(-5,-3) and F(3,1)

step 1

Find the x-coordinate of point A'

The horizontal distance between A and F is equal to

AFx=3-(-5)=8

The horizontal distance after dilation between A'F is equal to

A'F=0.25*8=2

so

the x-coordinate of vertex A' is equal to the x-coordinate of F minus the horizontal distance after dilation A'F

A'x=3-2=1

step 2

Find the y-coordinate of point A'

The vertical distance between A and F is equal to

AFy=1-(-3)=4

The vertical distance after dilation between A'F is equal to

A'Fy=0.25*4=1

so

the y-coordinate of vertex A' is equal to the y-coordinate of F minus the vertical distance after dilation A'F

A'y=1-1=0

therefore

The coordinates of vertex A of the image is (1.0)

Please please help me

Answers

Answer:

multiply 2/5 by 4

Step-by-step explanation:

When we divide fractions, we use copy dot flip

2/5 ÷ 1/4

Copy dot flip

2/5 * 4/1

For this case we must find the quotient of the following expression:

[tex]\frac {\frac {2} {5}} {\frac {1} {4}} =[/tex]

Applying double C we have:

[tex]\frac {2 * 4} {5 * 1} = \frac {8} {5}[/tex]

This is equivalent to multiplying the following: [tex]\frac {2} {5} * 4 = \frac {8} {5}[/tex]

Answer:

OPTION A

Find the area of this figure

Answers

Answer:

22.34 km²

Step-by-step explanation:

Here we have a circle whose diameter is 5  1/3 km.  As an improper fraction, that's 16/3 km.  Half that, or 8/3 km, is the radius.

The area of a circle is A = πr², where r is the radius.

In this case, the area is A = π(8/3 km)², or (64/9)π km², or 22.34 km² (same as first answer choice).

Other Questions
Which substance is most soluble in water? Which of the following is measured by utility? A. The satisfaction a person gets from consumption. B. The cost of adding a single unit of something. C. The most efficient way of organizing production. D. The difference between revenue and costs. Can someone help me plz and the last two that you couldnt see was ( c- 1 1/3 ) and ( D- 1 1/9) Which is the most important difference between the articles of the US Constitution and the articles of the Florida constitution?A. The Florida articles describe the organization and power of the government.B. The US Constitution has seven articles, and the Florida constitution has eleven articles.C. The US Constitution has eleven articles, and the Florida constitution has seven articles.D. The Florida articles define specific rights and freedoms of citizens of Florida. When an object moves in uniform circular motion, the direction of its acceleration is A) in the same direction as its velocity vector. B) in the opposite direction of its velocity vector C) is directed toward the center of its circular path. D) is directed away from the center of its circular path. E) depends on the speed of the object. Calculate the annual effective interest rate of a 12 % nominal annual interest rate compound monthly The internet backbone is a foundation network linked with Which statements are true of an allegory? Check all that apply.It is an extended metaphor.It has literal and symbolic meanings.It helps to communicate an abstract concept.It is an exact representation of actual events.It uses objects to represent a single characteristic.It has moral, social, religious, or political significance. Which of the following is not used to measure wind?OA. psychrometerO B. wind sockO C. weather vaneO D. anemometer 1. An electron in an atom absorbs a photon with an energy of 2.38 eV and jumps from the n = 2 to n = 4 energy level in the atom. Calculate the wavelength of the photon absorbed by the electron.2. The electron in the n = 4 level then jumps down to the n = 3 level, emitting a photon with a wavelength of 1.66 ?m. Calculate the energy of the photon emitted.3. Calculate the difference in energy between the n = 2 and the n = 3 energy levels in this atom.4. Calculate the frequency of the photon emitted when the electron jumps from the n = 3 to the n = 2 energy level. The area of a compact disc is 452 4/7 square centimeters. What is the diameter of a compact disc ? Use 22/7 as an approximation for pie? The Works Cited page is organized in alphabetical order according to the last names of the authors of the works.True? Or False? Which is correct? I am marking Brainliest. what is the eighth term in the sequence x+3, - 2x^2 - 6x, 4x^3 +12x^2 How did the settlement house improve the lives of the poor? How does a nuclear reaction differ from a chemical reaction? One outcome of the social gospel movement was _____.1) a new kind of music.2) settlement houses.3) increased immigration.4) taxation on the wealthy. Which postulate can be used to prove that the triangles are congruent?A. ASAB. AASC. SAAD. not congruent What is the greatest common factor of 22a2 and 32a 66=1/2 h(5+6)Solve for h Steam Workshop Downloader