find the greatest common factor of 54 and 72. use a model to justify your answer

Answers

Answer 1
the factors of 54 are: 1,2,3,6,9,18,27,54

the factors of 72 are: 1,2,3,4,6,8,9,12,18,24,36,72

then the greatest common factor is 18

i hope this solution helped you out with your problem ! :D

Related Questions

what's the answer for 2/3+x=4

Answers

Step-by-step explanation:

what is the problem for you ?

to solve an equation ?

or to deal with fractions and how to relate them to whole numbers (e.g. how to convert whole numbers into fractions) ?

if you need any additional information, please let me know.

I am just solving the equation now :

2/3 + x = 4

x = 4 - 2/3 = 12/3 - 2/3 = 10/3 = 3 1/3

Answer:

Step-by-step explanation:

x = 4 - 2/3

x = 3 3/3 - 2/3

x = 3 1/3

WILL GIVE BRAINIEST


in this equation 3x=n, John claims that for any value for x, the value of n will always be greater than or equal to the base of 3​

Answers

A.2

3^2 = 9

(any number greater than one because 3^1 = 3, this is not greater than 3)

B. 0

3^0 = 1

(any number less than 1, so it can't be one, but can be a negative number or zero - any number to the power of zero is one)

Hope this helps!

The price of a game console that regularly sells for $800 is reduced to $616. By what percentage is the price reduced?

Answers

Answer:23%

Step-by-step explanation: 800-616= 184

Discount is 184

percentage is 184/800 ×100/1 =23%

A researcher is interested in whether blind Braille readers could be taught to read faster using the same techniques as sighted readers. He has blind adults complete a reading speed test before and after a six-week speed-reading course. In the beginning of the study, a randomly selected group of 121 blind Braille readers scored an average of 261 words per minute on the reading speed test. Since the sample size is larger than 30, the researcher can assume that the sampling distribution of MD is normal. He plans to use a repeated-measures t test. The researcher identifies the null and alternative hypotheses as:

Answers

The md issue where did we go in today and I was just talking about it and then you told me that I wasn’t doing that I don’t want it lol I’m sorry I was so bad for this dude but I’m so sorry to hear that I’m sorry to bother with it I got the same text saying it ain’t nothing wrong but it’s just a little slow and it’s just like that it’s like I can’t do

If a baseball card appreciates exponentially in value by 50% over 10 years, what is its annual appreciation (growth) rate? Please use a calculator, and answer to the nearest whole percent. ​

Answers

we can use hmmm any value per se for the card, hmmm say let's use $2, if the baseball card was initially 2 bucks, and after 10 years it went up in value by 50%, well 50% of 2 is 1, so the new value is 3 bucks, then

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &3\\ P=\textit{initial amount}\dotfill &2\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &10\\ \end{cases} \\\\\\ 3=2(1 + \frac{r}{100})^{10}\implies \cfrac{3}{2}=(1 + \frac{r}{100})^{10}\implies \cfrac{3}{2}=(\frac{100+r}{100})^{10} \\\\\\ \sqrt[10]{\cfrac{3}{2}}=\cfrac{100+r}{100}\implies 100\sqrt[10]{\cfrac{3}{2}}=100+r \\\\\\ 100\sqrt[10]{\cfrac{3}{2}}-100=r\implies 4\approx r[/tex]

The ages of the people in attendance at the showing of an award-winning foreign film are shown below. a graph shows age of attendees (in years) labeled 0 to 20 thru 61 to 80 on the horizontal axis and frequency on the vertical axis. 0 to 20 years at frequency 15. 20 to 40 years at frequency 40. 41 to 60 years at frequency 40. 61 to 80 years at frequency 15. which statement must be true according to the histogram? the data is symmetrical, showing that the majority of the attendees were between the ages of 30 and 50. the data is symmetrical, showing that the majority of the attendees were between the ages of 21 and 60. the data is skewed, showing that the majority of the attendees were between the ages of 30 and 50. the data is skewed, showing that the majority of the attendees were between the ages of 21 and 60.

Answers

Answer:

B

Step-by-step explanation:

i got it right on edge

Answer:

It is B

Step-by-step explanation:

Consider the equation 4 plus v equals 8 minus startfraction 5 over 3 endfraction v.v 4 startfraction 5 over 3 endfraction v plus 4 equals 8 minus startfraction 1 over 3 endfraction v. v = 8. what is the resulting equation after the first step in the solution? v 4 = 8 – v startfraction 4 over 3 endfraction v plus 4 equals 8.v 4 = 8 4 v = 8 – 4 plus v equals 8 minus startfraction 5 over 3 endfraction v.v 2v 4 = 8

Answers

The resulting equation which is obtained after the first step in the solution of the provided equation is 2v +4=8.

What is an algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants. The algebraic expression is used to represent the general problem in the mathematical way to solve them.

Consider the following equation,

[tex]\dfrac{5}{3}v +4+\dfrac{1}{3}v=8[/tex]

To solve this equation, first we have to arrange the similar terms one side of the equation as,

[tex]\dfrac{5}{3}v+\dfrac{1}{3}v +4=8[/tex]

Solve it further by taking LCM,

[tex]\dfrac{5+1}{3}v +4=8\\\dfrac{6}{3}v+4=8\\2v +4=8\\[/tex]

Hence, the resulting equation which is obtained after the first step in the solution of the provided equation is 2v +4=8.

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

Answer:

c on edge

Step-by-step explanation:

How does the volume of a cylinder with a radius of 3 units and a height of 12 units compare to the volume of a rectangular prism with dimensions 16 units x 16 units x 9 units?

a. The volume of the cylinder is greater than the the volume of the prism

b. The volume of the cylinder is smaller than the volume of the prism.

C. The volume of the cylinder is the same as the volume of the prism

d.You cannot compare the volumes of different shapes

Answers

Answer:

The volume of the cylinder is greater than the volume of the prism.

Step-by-step explanation:

The Volume of a cylinder is given as:

= πr²h


Therefore, the volume of a cylinder with a radius of 3 units and a height of 12 units will be:

= πr²h
=3.14 × 3² × 12

=339.12

The volume of a rectangular prism with dimensions 3 units x 3 units x 12 units will be:

= Length × Width × Height

Based on the calculation, the volume of the cylinder is greater than the volume of the prism.

Answer:

B: The volume of the cylinder is smaller than the volume of the prism.

Step-by-step explanation:

In order to find the volume of the cylinder, we would use to formula [tex]\pi r^{2} h[/tex]. Substitute the given measures of the cylinder to get [tex]\pi[/tex]·3²·12. The simplified and calculated form would be 108 units cubed.

Now, we find the volume of the rectangular prism, which is [tex]l[/tex]·[tex]w[/tex]·[tex]h[/tex], or 16*16*9. This means the volume is 2304 units cubed.

Therefore, since 2304 un³>108 un³, answer choice b would be correct.

4) What is 15% of 22?
A) 3
B) 3.3
C) 30
D) 33

Answers

Answer: 3.3

Step-by-step explanation: Find the calculation in the picture

Sue says the expressions for 4y and y⁴ are Equivalent when y = 5. Is She Correct? Please Justify Your Answer.​

Answers

Answer:

Sue is incorrect

Step-by-step explanation:

Just substitute in the values[tex]4\times 5=20\\5^{4}=625[/tex]Since 20 does NOT equal 625, Sue is incorrect

Find the volume will give brainliest to whoever answers correctly

Answers

Answer:

Vol = 252 cubic ft

Step-by-step explanation:

Consider the bottom and top of the shape separately. Calculate the volumes and add them together.

Bottom of the shape is a prism. Volume of a prism:

V =

Base Area•Height

The base is a triangle. Use Area of a triangle formula:

A = 1/2b•h

A = 1/2(7)(6)

A = 21

Use 21 for Base Area for both parts of the volume calculation.

Vol of prism, continued:

V = 21•9

V = 189

Volume of a pyramid (top)

V = 1/3•BaseArea•Ht

=1/3(21)(9)

=63

Total Volume=

189 + 63

= 252 cubic ft

Please help and match the following. Pt2

Answers

Answer:

the first one will be B) x^2-4x+4

the sencond one will be A) x^2-16

the third one will be C) x^2+x-2

the fourth one will be D) -2x^3+4x^2+16x

Step-by-step explanation:

hope this helps now i gotta really go :)

When placed near each other, blocks of metal A and B are magnetically attracted to each other, while blocks B and Care repelled by

each other.

Therefore, blocks A and C will be

A)

repelled by each other.

B)

attracted to each other.

C)

unaffected by each other.

D)

Not enough information given

Answers

Answer:

A) repelled by each other, I did this on usa testprep

Step-by-step explanation:

Answer:

b atracted to each other

Step-by-step explanation:

got it right on usatestprep

The circumference of a circle is 71 in. Find its radius, in inches.

Answers

Answer:  r = 11.3

Step-by-step explanation:

In order to find the radius given circumfrence we use the following formula

[tex]r=\frac{C}{2*\pi }[/tex]

[tex]r=\frac{71}{2*3.14 }[/tex]

r = 11.3

This sphere has a radius of 9 m. What is the surface area of the sphere? Enter your answer, in exact form, in the box

Answers

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=9 \end{cases}\implies SA=4\pi (9)^2\implies SA=324\pi[/tex]

If m<5=53º and m∠7=125º, find the measures of each numbered angle.

m<1=

m<2=

m<3=

m<4=

m<6=

Answers

#5 = 53° #7 = 125° #6 = 55° #2 = 72° #3 = 55° #1 = 53° #4 = 127°

triangle = 180° 

alternating interior angles are the same (#6 & #3 and #5 and #1) 

#3 and #7 should equal 180° 

#1 and #4 should also equal 180° 

#6 and #7 should equal 180° 

#4 and #5 should equal 180°

Need help, see photo below.

Answers

Answer:

The correct answer would be option 2; Regular Hexagon

Hope this helps!

A store is selling a green rug for $54.50 and a white rug for $31.85. the green rug is marked down by 12%, and the white rug is marked up by 16%. after the markup and markdown, which rug is more expensive, and how much more expensive is it? round all dollar values to the nearest cent. a. the white rug is $1.09 more expensive than the green rug. b. the white rug is $5.35 more expensive than the green rug. c. the green rug is $1.44 more expensive than the white rug. d. the green rug is $11.01 more expensive than the white rug.

Answers

The a seer to the more expensive rug is; D: the green rug is $11.01 more expensive than the white rug.

How to calculate mark up and mark down?

We are told that;

Current cost of Green rug = $54.50

Current cost of White rug = $31.85

Now the store wants to mark down the green rug by 12%. Thus;

New price of green rug = (100% - 12%) × 54.5

New price of green rug = $47.96

Now the store wants to mark up the white rug by 16%. Thus;

New price of white rug = (100% + 16%) × 31.85

New price of green rug = $36.95

Difference in New prices = $47.96 - $36.95

Difference in New prices = $11.01

Read more about Mark up at; https://brainly.com/question/1153322

Which accounting principle states that a business and its owner are to be treated as separate legal entities

Answers

the economic entity concept

Answer:

economic entity principle

Step-by-step explanation:

Emily and Jennifer are playing a game with dice. Each one has a die. If each one rolls one and the sum of the numbers are 7 or 11 they win. If the sum is 2, 3 or 12 they lose. If it is any other number there is no winner or loser.

Find the sample space by either creating a tree or a chart/table. (remember, each die has the numbers 1-6 on it).


Then find:
P (they win - if the sum is 7 or 11)
P (they lose - if the sum is 2, 3 or 12)
The total sample space. HINT: How many total possible combinations?

Answers

This experiment has 36 possible combinations, and we will see that:

P(they win) = 0.22P(they loose) = 0.11

How to get the probabilities?

First, we need to find the total number of outcomes.

We have two dice with 6 outcomes each, so the total number of outcomes of the experiment of tossing the two dice is:

C = 6*6 = 36

Such that the sample space is all the numbers between 2 and 12 (because our variable is the sum of the two values).

Now, to get the probability of winning we need to count the number of outcomes that add to 7 or 11, these are:

(Add to 7)

dice 1    dice 2            

   1            6                  

  2            5                  

   6           1

   5            2

    4           3

    3            4

(Add to 11)

dice 1    dice 2          

  5            6

  6             5

So there are 8 outcomes, then the probability of winning is:

P = 8/36  =0.22

The probability of losing is when the sum adds to 2, 3, or 12.

The outcomes that add to that:

(Add to 2)

dice 1    dice 2    

1               1

(Add to 3)

dice 1    dice 2    

 1              2

 2              1

(Add to 12)

dice 1    dice 2    

  6            6

There are 4 outcomes that add to these values, so the probability of losing is:

P = 4/36 = 0.11

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

[tex]3^x - ^2 = 3^7[/tex](05.01 MC) Solve 3x − 2 = 37.

Answers

Answer:

x=㏒3(2189)

Step-by-step explanation:

do you know the answer to this question 4x16+3-1

Answers

Answer:

66

Step-by-step explanation:

use

P- parenthesis

E- Exponents

M-multiplication

D-Division

A- addition

S- subtraction

NOTE THAT MULTIPLICATION IS NOT MORE IMPORTANT THAN DIVISION AND SAME GOES FOR ADDITION AND SUBTRACTION.

This means that that we do it from left yo right

4×16+3-1 --> 64+3-1 --> 67-1 = 66

Of the 4 people attending a lecture, 2 have hazel eyes.
What is the probability that a randomly selected person will have hazel eyes?
Write your answer as a fraction or whole number.

Answers

Answer: 50%

Step-by-step explanation:

Because 2 of four is half, that that the probability is a 50% chance.

Answer:

1/2

Step-by-step explanation:

Think of this like a pizza or pie:

If there are four slices and two represent hazel eyes, how many slices are "hazel eyes?" It would be 2 of 4, or 2/4.

Because this is a fraction and it can be simplified, it would be 1/2.

So there is a 50% chance that the randomly selected person of the four people will have hazel eyes.

What key features do the functions f(x) = 12x and g of x equals the square root of x minus 12 end root have in common?

1-Both f(x) and g(x) include domain values of [-12, ∞) and range values of (-∞, ∞), and both functions have an x-intercept in common.

2- Both f(x) and g(x) include domain values of [12, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.

3-Both f(x) and g(x) include domain values of [-12, ∞) and range values of (-∞, ∞), and both functions increase over the interval (-6, 0).

4-Both f(x) and g(x) include domain values of [12, ∞), and both functions increase over the interval (12, ∞).

Answers

Using the domain and the range of the function, it is found that the correct option is given by:

4- Both f(x) and g(x) include domain values of [12, ∞), and both functions increase over the interval (12, ∞).

What are the domain and the range of a function?

The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.

Function f(x) is defined by: f(x) = 12x.

Line with positive slope, hence it is increasing all over it's domain.Range is all real values.No restriction, hence the domain is also all real values.

Function g(x) is defined by: [tex]g(x) = \sqrt{x - 12}[/tex]

The square root function increases over all it's domain.The range is [tex](0, \infty)[/tex].The term inside the root cannot be negative, hence the domain is [12, ∞), which is contained into the domain of f(x).

This means that option 4 is correct.

More can be learned about domain and range of a function at https://brainly.com/question/27274752

If mBE=119 and mBKE=93, find mUH.

Answers

Answer:

arc UH = 67°

Step-by-step explanation:

the measure of a chord- chord angle is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , then

[tex]\frac{1}{2}[/tex] ( BE + UH ) = ∠ BKE , that is

[tex]\frac{1}{2}[/tex] (119 + UH ) = 93° ( multiply both sides by 2 to clear the fraction )

119° + UH = 186° ( subtract 119° from both sides )

UH = 67°

Answer:

Step-by-step explanation:

∠HKU = ∠BKE   {Vertically opposite angles}

∠HKU = 93°

Angles fromed by insecting chords equals half the sum of intercepting arcs.

      [tex]\sf \angle HKU =\dfrac{1}{2}(arc \ HU + arc \ BE) \\\\ 93^ \circ = \dfrac{1}{2}(arc \ HU + 119)[/tex]

   93 *2 = arc HU + 119

   186    = arc HU + 119

186 - 119 = arc HU

arc HU = 67°

PLS HELP MEEE I REALLY NEED HELP

Answers

a) 24.92

b) 65.616

c) 66.43

d) 6.13

e) 25.0862

f) 4.95

The circumference of a circle is 6π cm. What is the area, in square centimeters?

Answers

Answer:

9Pi  square units

Step-by-step explanation:

Area = Pi x Radius^2

Diameter = Circumference / Pi

                 = 6Pi / Pi

                 = 6

Radius = Diameter / 2

             = 6 / 2

             = 3

Area = Pi x 3^2

Hope this helps!!

Write each expression using exponents:
4*4*4*4*4

Answers

Answer:4^6

Step-by-step explanation:

The number of times a term is multiplied is the exponent you use.

In this problem

4 is multiplied 6 times.

Therefore: 4*4*4*4*4*4=4^6

Ethan donated $15.00 of the $50.00 he received as a gift.
Which decimal represents the fraction of $50.00 Ethan
donated?
A. 0.15
B. 0.3
C. 0.35
D. 0.5
(WILL MARK BRAINLIEST*

Answers

Answer:

0.3

Step-by-step explanation:

15/50=0.3

OR

(15*2)/(50*2)

30/100=0.3

a funnel is in the shape of a cone with a radius of 4 inches and a height of 10 inches.

a. find the volume of the funnel. Round your answer to the nearest 10th

b. the funnel is filled with oil. how many quarts of oil are in the funnel? (1 qt = 58in ^3.) round to the nearest tenth

Answers

Answer:

A. 167.4

B. I don't know but I hope this helps :)

Step-by-step explanation:

the formula for volume of a funnel is:

V= 1/3 pi r^2 h

if we plug in the given values we are left with:

V= 1/3 (pi) 4^2 (10)

using 3.14 for pi, we get the answer:

V= 167.4

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