a rectangle of side 48cm by 60cm is divided into squares of side x cm.find the greatest value of x and find the area of the area.​

Answers

Answer 1

Answer:

greatest value of X = 12

Area of square = 144 cm²

Step-by-step explanation:

The greatest value of X will be the highest common factor of 48 and 60 since we are told that the rectangle is divided into squares.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The highest common factor between both factors of 48 and 60 is 12.

Thus,

greatest value of X = 12

Area of square = 12 × 12

Area of square = 144 cm²


Related Questions

Write a paragraph (4-5 sentences) explaining how we can help or change racism to black people


No copying from internet please

Answers

Answer

A few ways we could stop racism against black people in this country is to stop the perpepuation of black stereotypes in media. Such as the loud, aggressive black man, or the rude, catty black woman. It causes a harmful view on black people and can result in racial profiling. Another way to combat this racism is to fight off systemic racism. Black people who have unique names, usually African names, are more likely to get turned down for a job when they turn in their resume to an establishment. This is because they automatically assume that they'll be trouble, and won't be a good worker.

write the image of a point ( 3 - 2) under reflection about x - axis​

Answers

Step-by-step explanation:

I m not sure either u have written (-2).. ans is (3,-2)

Answer:

(3, 2 )

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

(3, - 2 ) → (3, 2 )

The hypotenuse of a right triangle is 13 m long. The shorter leg is 7 m shorter than the longer leg. Find the side lengths of the triangle. Length of the shorter leg: m Length of the longer leg: m Length of the hypotenuse: m​

Answers

Answer: Shorter: 5 m Longer: 12m Hypotenuse: 13 m

Step-by-step explanation:

A piece of wood has the dimensions shown. What is the area of the piece of wood?
21 m
2 m
9 m
10 m
12 m
Help pls

Answers

The are piece of the wood is that you multiply then you divide these numbers and then you get the answer

What is the answer for both of these questions? please fill in the blanks for me. I will mark you as the brainliest.

Answers

1. Duane’s pencil is 4 millimeters longer.
2. The hose is 28 meters long.
Hope this helps!!

I WILL GIVE BRAINLIEST IF YOU HELP
A museum has an aquarium in the shape of a right rectangular prism that is 22.9 meters long, 7.5 meters wide, and 5.6 meters high. What is the volume, round to the nearest cubic meter, of the aquarium?
A. 280
B. 623
C. 1288
D. 962

Answers

Answer:

D. 962

Step-by-step explanation:

The volume of a rectangular prism is the length x width x height.

22.9*7.5*5.6=961.8

961.8 rounds up to 962

(08.06 LC)
Identify the factors of x2 + 16y? (5 points)
O (x + 4y)(x + 4y)
O (x + 4y)(x - 4y)
Prime
O (x - 4y)(x - 4y)

Answers

Answer:

Prime

Step-by-step explanation:

2(x?)+16y

O(x+4y)(x+4y)

x²+4xy+4xy+16y²

x²+8xy+16y²

O(x+4y)(x-4y)

x²-4xy+4xy-16y²

x²-16y

Prime

O(x-4y)(x-4y)

x²-4xy-4xy+16y²

x²-8xy+16y²

All are incorrect except prime, so the answer is prime.

---

hope it helps

write the number that is 100 times greater than 1.86

Answers

Answer: 186
Solution: 100 x 1.86

Find the missing side. Round to
the nearest tenth.

Х
28°
15
X =
= [?]

Answers

Answer:

16.99

Step-by-step explanation:

Because I used trigonometry

What is the length of X?

Answers

Answer:

x = 85

Step-by-step explanation:

Its a Pythagorean theorem question, being a^2 + b^2 = c^2.

and knowing that 168 is the entire base we would divide by 2 to get 84 as b.

The new equation would be 13^2 + 84^2 = c^2

Then squaring them to get 169 + 7056 = c^2

Then add them together and square root them [tex]\sqrt{x}[/tex] 7225 = c

The square root is 85 making it equal x.  

A race is 5 kilometers long. Harold ran 3/4 of the race. How many kilometers did Harold run? PLEASE HURRY

Answers

Answer:

3.75

Step-by-step explanation:

I took a test and that was the answer

Harold ran 3.75 kilometers in 5 kilometers long race.

What is multiplication?

The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.

Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.

Given, a race is 5 kilometers long.

Harold ran 3/4 of the race.

To find the numbers of kilometers, Harold run

That means,

we multiply 3/4 to the total race's length.

Required length

= 5 x 3/4

= 15/4

= 3.75

Therefore, Harold ran 3.75 kilometers.

To learn more about the multiplication;

https://brainly.com/question/19634536

#SPJ2

The measure of ∠XZY is 55°. Which other

angle has a measure of 55°? Explain

Use the information from Problem 2. Find the
value of n.

Answers

Answer:

1) <SZR    

2) n=40

Step-by-step explanation:

Sorry I can't explain but I got these answers from the teacher's notes.

Mr.sol records the daily high temperatures for a week. He creates the box plot below to display his data.

Answers

Complete question is attached below :

Answer:

40, 66, 55, 70, 80, 58, 65 - option B

Step-by-step explanation:

From the boxplot attached ;

We could deduce that the least temperature is denoted by the starting point of the whisker, which is 40

The maximum temperature, is the 80, denoted by end of the end whisker.

The median is the value in the middle of the box which is 65

Lower quartile being 55 and upper quartile being 70

Hence, From the options given, the most appropriate answer will be :

40, 66, 55, 70, 80, 58, 65 - option B

IF ARRANGED IN ASCENDING ORDER, we'll have 40, 55, 58, 65, 66, 70, 80

This question has had me confused for about an hour, please help

Answers

For this question the answer is m+n since -n+n would cancel out, and m+m would be 2m.

Find the circumference of a circle whose radius is 4 feet. Use 3.14 for Pi.

Answers

Answer:

25.12

Step-by-step explanation:

The formula of the circumference of a circle is: C = 2(pi)(r)

Plug in 3.14 for pi and 4 for the radius.

C = 2(3.14)(4)

Multiply.

C = 25.12

If A+B+C=[tex]\pi[/tex] show that tan A + tan B +tan C = tan A.tan B.tan C

Answers

Answer:

[tex]a + b + c = \pi \\ = > c= \pi - a - b \\ < = > \tan(c) = \tan(\pi - a - b) = -\tan(a + b) [/tex]

Step-by-step explanation:

we have:

[tex] \tan(a) + \tan(b) + \tan(c) \\ = \tan(a) + \tan(b) - \tan(a + b) \\ = \tan( a) + \tan(b) - \frac{ \tan(a) + \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{ ( \tan(a) + \tan(b) ) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (1)[/tex]

we also have:

[tex] \tan(a) \tan(b) \tan(c) \\ = - \tan(a) \tan(b) \tan(a + b) \\ = \frac{ -(\tan( a ) + \tan(b) ) \tan(a) \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{( \tan(a) + \tan(b)) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (2)[/tex]

from (1)(2) => proven

Use the model to find the product of 0.5 x 0.6.
A)
0.27
B)
0.30
C)
0.33
D)
0.35

Answers

0.5x 0.6 is 0.30. So B is your answer.

Answer:

0.3

Step-by-step explanation:

0.5 is equal to 1/2, so 1/2 x 0.6 = 0.3

Identify the type of correlation that is present in the scatterplot

Answers

Answer:

The scatter plot shows a positive correlation.

Answer a is correct because the point is go increased

Which is the solution for the system of equations? Y = 2x-3
Y = -x
A. (1, -1)
B. No solution
C. (-1, 1)
D. (-1, -1)

Answers

Answer:

(1,-1)

Step-by-step explanation:

[tex] \large{ \begin{cases} y = 2x - 3 \\ y = - x \end{cases}}[/tex]

Since both are y-isolated equation. We can combine both.

[tex] \large{2x - 3 = - x}[/tex]

Since we want to solve for x-term, we need to isolate x-term.

So we move from -x which is the right side to x.

[tex] \large{2x - 3 + x = 0} \\ \large{3x - 3 = 0} \\ \large{3x = 3} \\ \large{x = 1}[/tex]

But we are not done yet. Solving system of equations, you must solve for y-term as well. (Because we have to answer in ordered pairs which are (x, y))

Substitute x = 1 in any given equations but I will substitute x = 1 in y = -x

[tex] \large{y = - x} \\ \large{y = - 1}[/tex]

Since we have got y-value. Therefore the answer is (1,-1)

Here is a list of numbers:
20, 13, 1, 13, 6, 1,8,20,9,18
State the median.

Answers

Answer:

6

Step-by-step explanation:

The median is the middle of the data, or the middle number in a given set of numbers.

find the value of y if 2y +4=8​

Answers

Answer:

[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]

[tex]2y + 4 = 8 \\ 2y = 8 - 4 \\ 2y = 4 \\ y = \frac{4}{2} \\ y = 2[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

y=4/2=2

Step-by-step explanation:

a website would like to test the hypotheis that the average length of an online video watched by a user is more than 8 minutes. A random sample of 37 people watched onlinevideos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes. The website owners would like to set =.02 what is the conclusion for this hyptohesis test

Answers

Answer:

The p-value of the test is 0.0446 > 0.02, which means that we do not reject the null hypothesis that the average length of an online video watched by a user is of 8 minutes.

Step-by-step explanation:

A website would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes.

At the null hypothesis, we test if the mean is of 8 minutes, that is:

[tex]H_0: \mu = 8[/tex]

At the alternate hypothesis, we test if the mean is of more than 8 minutes, that is:

[tex]H_a: \mu > 8[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

8 is tested at the null hypothesis:

This means that [tex]\mu = 8[/tex]

A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes.

This means that [tex]n = 37, X = 8.7, \sigma = 2.5[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{8.7 - 8}{\frac{2.5}{\sqrt{37}}}[/tex]

[tex]z = 1.70[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 8.7, which is 1 subtracted by the p-value of z = 1.7.

Looking at the z-table, z = 1.7 has a p-value of 0.9554

1 - 0.9554 = 0.0446

The p-value of the test is 0.0446 > 0.02, which means that we do not reject the null hypothesis that the average length of an online video watched by a user is of 8 minutes.

Arnez bought five shirts from a store and had $10 left. If he had only bought three shirts, he would have had $24 left. If each shirt costs the same, determine x, the cost of each shirt.

Answers

Answer:

x=8

Step-by-step explanation:

help what's the answer​

Answers

Answer:

2nt one

Step-by-step explanation:

Soren's favorite cereal is on sale. A 20-ounce box costs $4.59. A smaller, 12-ounce box costs $2.52. Complete the statements to describe which box costs less per ounce.

Answers

Answer:

The smaller box, 12 oz, costs less per oz than the larger 20 oz box.

Step-by-step explanation:

$4.59 divided by 20 = $0.2295 per oz

$2.52 divided by 12 = $0.21 per oz

8x-11y=-4
-5x+y=26

(need help with showing work , I keep getting stuck on something) ​

Answers

Step-by-step explanation:

Possible question so that I can help you with the solution

Mark bought a plasma TV for $2,499 on the installment plan. He paid a down payment of $300 and agreed to pay $101.50 a month for the next 24 months.

How much will he pay in all for the TV?

$2,499

$2,635

$2,736

$2,850

Answers

Answer: $2,736

Explanation:
$300 + 24 x $101.50 = $2736
finance charges =
$2736 - $2499 = $237

solve the quadratic equation by completing the square: 6x²-11x-10=0 ​

Answers

Step-by-step explanation:

6x² - 11x - 10 =0{use splitting middle term method} -60x²

| |

-4. +15

(6x² - 4x) (15x - 10)2x( 3x - 2 ) +5( 3x - 2)(2x + 5) (3x - 2)2x = -5 or 3x = 2x = -5 or x = 2

there fore x = 2

• LIVE
Henry found his mass on a metric scale. What could Henry's mass be?
O
A. 26 kg
a
B. 2,600 kg
O
C. 8g
0
D. 600 g

Answers

I think it is B but I might be wrong

Find the measure of an angle in a regular polygon with 22 sides​

Answers

Find the sum of the interior angles of a 22-gon. Since the polygon has 22 sides, we can substitute this number for n: (n 2)180˚= (22 2)180˚= 20180˚= 3600˚. Each angle of a regular polygon measures 157.5˚.
The measure is 157,5°
Other Questions
can someone translate this audiolook at the link Eric works at an electronics store in a mall. Eric doesn't like to work hard, and it costs him $100 to do so. Eric's employer cannot observe whether Eric works hard. If Eric works hard, there is a 90% probability that electronics goods profits will equal $400 a day and a 10% probability that electronics goods profits will equal $100 a day. If Eric shirks, there is a 90% probability that electronics goods profits will equal $100 a day and a 10% probability that electronics goods profits will equal $400 a day. Suppose Eric is paid $200 if electronics goods profits are $400 a day and $50 if electronics goods profits are $100 a day. Eric will _____ because the net gain of _____ from shirking is _____ than the net gain of _____ from working hard. What is the radius, Diameter, Area, and Circumference of a 12 feet circle? (No links or fake answers, actually give me a right answer) Solve the following equation for x 2log: 2x = 2 Describe what method you used to solve the problem and why? Pls help quick!!! I-ready question Chavezs parents were migrant farm workers. They had to move around often to find work. Chavez went to almost 36 schools before the eighth grade. School was very difficult for Chavez. Many of the other students were mean to him because he came from an immigrant family. Chavez also wasnt allowed to speak Spanish, which was the language he knew best. He dropped out of school after eighth grade. Education became more important to Chavez later in life. He said that, The end of all education should surely be service to others. Before becoming a labor leader and activist, Chavez joined the navy. He also worked as a ranch hand and at a lumber yard. Eventually, he became an organizer at the Community Services Organization, a civil rights group that helped protect LatinX communities. There, he worked to make the relationships between LatinX immigrants and the communities they lived in better. Which of the following would be the best title for this passage? A. The Daily Life of Migrant FarmersB. Chavezs Time in the NavyC. How to Be an ActivistD. Chavezs Early LifePlease give real answers not links HELP ASAP ! 3100 people attended a football game. If 5% of the people who attended were teenagers, how many teenagers attended the game? Can some plaz help me with this project ASAP WILL GIVE BRAINLIEST IF ACTUAL EFFORT PUT IN AND DECENT LENGTHPopulation GrowthProject: Analyzing Factors That Affect Carrying Capacity and BiodiversityIn this assignment, you will use simulations to analyze how climate, resources, and habitat size affectcarrying capacity. You will then look at another simulation to analyze the effects of certain factors thataffect biodiversity and populations. Finally, you will write and revise a conclusion on how human activityaffects biodiversity.Background InformationPopulation growth is the change in size of a group of organisms of the same species over time. It isaffected by four factors: birth rate, death rate, immigration, and emigration.Carrying capacity is the maximum total population that an area can support. Carrying capacity limitspopulation growth and is affected by competition for food, water, shelter, or mates, and threat ofpredators, disease, and parasites. Carrying capacity may be affected by one or a combination of thesefactors.Biodiversity is the total variety of organisms that live in the biosphere. Biodiversity is affected by the lossof habitat, introduction of invasive species, pollution, and/or human activities. Brennan is wrapping a birthday present for his sister. He starts with 2 yards of ribbon. Then, he cuts off 9 inches to decorate the present. How many inches of ribbon does he have left now? What is the range of the following data set? 60, 40, 35, 45, 39 A pyramid and a cone are both 8 centimeters tall and have the same volume.What statement must be true about the two solids?A. The vertical cross-sections of the prisms at the same width musthave the same area.B. The area of the cross-sections of the prisms are multiples of eachother.C. The cross-sections of the prisms are the same shape.D. The horizontal cross-sections of the prisms at the same heightmust have the same area. A historian researching the motives of the perpetrators of the Holocaust would find which of the followingsources most useful?A. Letters and publications whitten by Nazi leaders before the Second World War.B. The diary of Anne Frank, written by a Jewish girl who lived in hiding from the Nazisduring the Second World War.C. Reports of Adolf Hitler's Beer Hall Putsch, his 1923 attempt to take over the Germangovernment.D. Field reports from American, British, and Russian generals published after the SecondWorld War. yo necesite dinero para comprar unos artes *answer in direct object* The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric. Im not good with math okay?? A runner ran 2/3 of a race in 21 minutes. They ran the entire race at a constant speed How long did it take to run the entire race? If I have a 64 in English, what would I need to get on my final exam to pass with an 80? Parker borrowed some money from his friend in order to help buy a new video game system. Parker agreed to pay the friend back some amount every week until his loan was paid off. An equation representing the amount Parker owes his friend after tt weeks is L=150-25t. What is the y-intercept of the equation and what is its interpretation in the context of the problem? 12. The least-squares regression equation = 10 + 2x describes the relationship between x = age (inweeks) and y = weight (in pounds) for a sample of 50 German shepherd puppies for ages 5 weeks. The weight of a particular German Shepherd puppy that is 10 weeks old is underestimated by 10pounds. How much does this particular puppy weigh?(A) 10 pounds(B)20 pounds(C) 30 pounds(D) 40 pounds(E) 50 pounds Whats the correct answer????? Correct answer gets brainlest