the area of a rectangle is 600 cm2 and its breadth is two-third of its length find the length and breadth of the rectangle​

Answers

Answer 1

Given:

Area of a rectangle is [tex]600 \text{cm}^2[/tex].

Breadth is two-third of its length.

To find:

The length and breadth of the rectangle​ .

Solution:

Let x cm be the length of the rectangle.

Then, Breadth or width of the rectangle = [tex]\dfrac{2}{3}x[/tex] cm

Area of a rectangle is

[tex]Area=Length \times Breadth[/tex]

[tex]600=x \times \dfrac{2}{3}x[/tex]

[tex]600=\dfrac{2}{3}x^2[/tex]

Multiply both sides by 3.

[tex]1800=2x^2[/tex]

Divide both sides by 2.

[tex]900=x^2[/tex]

Taking square root on both sides.

[tex]\pm \sqrt{900}=x[/tex]

[tex]\pm 30=x[/tex]

Length cannot be negative. So, x=30.

Now,

Length = [tex]30\text{ cm}[/tex]

Breadth = [tex]\dfrac{2}{3}\times 30\text{ cm}[/tex]

             = [tex]2\times 10\text{ cm}[/tex]

             = [tex]20\text{ cm}[/tex]

Therefore, the length of the rectangle is 30 cm and the breadth is 20 cm.


Related Questions

An investment has the following payment structure: 1,000 payable in one year, 1,000 payable in two years, and 1,000 payable in three years. The term structure of interest rates is:

Answers

Answer: C. 7.3%

Explanation:

The yield rate is a weighted average of the yields over the years:

= [ (1 * 6%) + (2 * 7%) + (3 * 8%)] / ( 1 + 2 + 3)

= 44%/ 6

= 7.33%

= 7.3%

A company decided to scan all of its salespersons' important work that existed only in paper form into a central computer database that could be easily accessed using portable computers, thereby saving salespersons the effort of lugging their paper files all over the country. The project was a dismal failure, however; salespersons rarely accessed the database and continued to rely on many paper files, which they had refused to turn over to the staff responsible for creating the database.

Which one of the following, if true, most helps toaccount for the failure described above?

a. Some of the salespersons gave huge paper files to the staff responsible for creating thedatabase while other salespersons gave themmuch smaller files.
b. Most of the salespersons already had portablecomputers before the new database was created.
c. The papers that the salespersons found mostimportant all contained personal informationabout employees of client companies,which the salespersons did not want in acentral database.
d. All of the salespersons were required to attend aseries of training sessions for the new databasesoftware even though many of them found thesoftware easy to use even without training.
e. The number of staff required to create thedatabase turned out to be larger thananticipated, and the company had to payovertime wages to some of them.

Answers

Answer:

c. The papers that the salespersons found most important all contained personal information about employees of client companies, which the salespersons did not want in a central database.

Explanation:

Most salespeople earn their salaries through sales commissions. A salesperson not only competes with other competing companies, but also competes against other salespeople of the same company. It is likely that they didn't want to share their trade secrets with other salespeople within the same company.

An accountant passed the closing entries of the expenses and then closed all the expense accounts by crediting them. Which account should she debit to complete the dual aspect of the journal entry

Answers

Answer:

Profit and Loss Account or Income Statement

Explanation:

When closing off an expense, we debit the Expense Account and Credit the Profit and Loss Account or Income Statement. This is because an Expense is accounted as a decrease in the profit of the company. The Final Statement that reports profit is the Profit and Loss Account or Income Statement.

In a market economy resources tend to be allocated optimally. Discuss how the interaction of consumers and producers makes this happen.

Answers

Answer:

Under the capitalist structure, the distribution of services is highly reliant mostly on price fluctuations of the commodities itself. For both buyers as well as vendors in the industry, price serves as a predictor.

Sellers can use heavy priced  limited raw commodities (e.g. the copper industry) or tools to manufacture high-value items to be specifically given specific pricing details. Similarly, only those buyers who see profit in buying those better priced goods would also enable them to maintain equilibrium within the scheme.

Guys I need a kawaii Username for YT the person that had the best one I will crown branliest I'm giving 40 points!

Answers

Answer:

Sweetlolipie

Explanation:

Answer:

What about "TedyBear","PixelII" and "PoohBear"???

An increase in a current asset account, other than cash, results in an addition in calculating operating cash flows.

a. True
b. False

Answers

Answer




That is true

When a current asset account other than cash increases, the calculation of operating cash flows is increased. is a true assertion.

What is Cash Flow?

The net balance of money coming into and going out of a business at a particular period is referred to as cash flow. A firm constantly receives and expends cash. Cash flow refers to the quantity of money that a business gets or transfers to its debtors in the form of cash or cash equivalent. Analysis of the company's liquidity condition sometimes involves cash flow analysis.

A rise in current liabilities indicates that only expenses have been recorded and not yet received in cash. As a result, an increase in current liabilities results in an increase in income adjustment.

Therefore, The calculation of operating cash flows is increased. is a true assertion.

Learn more about Cash Flow here:

https://brainly.com/question/28238360

#SPJ2

In a survey of a group of people, it was found that 60 0f them have

business, 45 have government jobs, 125 have farming, 27 have business

only, 15 have government job only, 10 have business and government

job only, 5 have government job and farming only.

i) How many people have all the profession?

ii) How many people were there in a survey?​

Answers

Answer:

i) 15  ii) 177

Explanation:

Number of people with business = 60

Number of people with farming = 125

Number of people with government jobs = 45

Number of people with business only = 27

Number of people with government jobs only = 15

10 have business and government  job only, 5 have government job and farming only.

i) Let x represent the number of people with all three jobs. Hence:

Number of people with government jobs = number of people with all three jobs + number of people with government and farming job + number of people with government and business + number of people with government job only

45 = x + 10 + 5 + 15

45 = x + 30

x = 15

15 people have all three profession.

ii)

Number of people with business jobs = number of people with all three jobs + number of people with business and farming job + number of people with government and business + number of people with business job only

60 = 15 + number of people with business and farming job + 10 + 27

number of people with business and farming job = 60 - 52 = 8

Number of people with farming jobs = number of people with all three jobs + number of people with business and farming job + number of people with government and farming + number of people with farming job only

125 = 15 + 8 + 5 + number of people with farming job only

number of people with farming job only = 125 - 28 = 97

Number of people surveyed = number of people with all three jobs + number of people with business and farming job + number of people with government and farming + number of people with farming job only +  number of people with government and business + number of people with business job only + number of people with government job only

Number of people surveyed = 15 + 8 + 5 + 97 + 10 + 27 + 15

Number of people surveyed = 177

Analyze the given scenario for potential ethical concerns.
Susan has just begun a new job. The office's computers are automatically set to inform employees when the computer anti-virus software is due to be updated. This web-security technology is vital to keeping business documents safe. However, Susan does not pay attention to the alerts that pop up on her computer, which results in the anti-virus software expiring.

Susan regularly gets distracted from her assignments and begins perusing websites for personal interests rather than for her assignment. Unfortunately, one day a computer virus infects her computer from one of these websites; she quickly begins to notice problems. When she realizes what has happened, Susan is worried and uncertain. She waits until the end of the day to inform her manager of this incident. Because of her negligence, it's possible that this virus infect her company's confidential data. In her company's workplace rules and regulations, she was told explicitly to stay away from questionable websites due to the sensitive nature of the information on her computer.
1. In this scenario, what is the importance of anti-virus software and other similar virus protection programs?

2. What steps could Susan have taken to help prevent this incident from occurring?

3. Besides the importance of network security, what other ethical issue does this scenario illustrate?

4. What data privacy or legal issues could result from employees' use of the Internet on their company's server?

5. Besides avoiding unfamiliar websites, what other measures can be taken to ensure a virus doesn't infect your company's computer network?

Answers

1. The importance of anti-virus software it to help prevent a virus (such as malware) from infecting the computer/electronic device and preventing the possibility of a security breach within the companies system. 2. Susan could have easily prevented this scenario from happening by paying attention to why she was supposed to, following the rules, and staying away from suspicious websites. 3. The ethical issues this scenario illustrates is the lack of attention employees have in the work place. 4. The company could lose valuable and confidential data within their program by hackers. 5. Companies could set up mandated reminders to their employees to keep track of their anti-virus software and make sure it’s up to date.

2008 crisis question.

Answers

Answer: b. Glass Steagal separated the commercial loan balance sheet of a bank from the investment banking arm (a much riskier part of bank operation). It was important because without this separation, when a bank fails due to bad investments, it also fails all of its commercial duties to keep the economy liquid.

Explanation:

The 1920s came with a fast rising American economy. The stock market portrayed this rise by making huge profits for the public and so people wanted to get into stocks more and more until the stock market crashed and million lost money.

Some of those who participated had borrowed the funds from commercial banks which now had losses as they had loaned out money that could be used for other commercial duties. The proponents of Glass Steagal believed that separating a bank's commercial side from investing would fix this.

is the grouping of jobs
into working units usually called
units, groups, or divisions.

Answers

Answer:

units is the closest thing

Explanation:

it's usually called departmentalization but units is the next thing

the answer is units :) so top person is correct

Select the correct answer from the drop-down menu
If a society decides to produce consumer goods from its avalable resources, It is answering the basic econamic question,
How to produce?
What to produce?
For whom to produce?

Answers

Answer:

What to produce?

Explanation:

A society has to make choices in order to meet the diverse needs of its members. The resources available in all economies are insufficient to meet all needs. Because of this scarcity, a society has to make informed decisions on what to produce at any given.  

Societies make choices on what to produce with the available resource. In every decision, there is a sacrifice to be made.

proud family inc., produces a variety of products. the average cost of one widget using ABC costing is closets to

Answers

Answer:

b. $156.59

Explanation:

Note: The full question is attached as picture below

As the company is under traditional costing system and the allocation base is machine hours.

Variable OH per hour = Total variable cost / Total machine hours

Variable OH per hour = 513,600/32,000

Variable OH per hour = $16.05

Average cost of producing one unit of widget = Direct material per hour + Direct labor per hour + Variable OH per hour

= $95.52 + $51.04 + ($16.05*750/1200)

= $95.52 + $51.04 + $10.03

= $156.59

Please help with the highlighted part. this is a practice essay

Answers

Answer:

Expansion: A speedup in the pace of economic activity defined by high growth, low unemployment, and increasing prices.

Peak: The upper turning point of a business cycle and the point at which expansion turns into contraction.

Contraction: A slowdown in the pace of economic activity defined by low or stagnant growth,...

there you go hope you consider brainliest

Explanation:

Select the following three roles in a business that do not carry personal liability for any judgments against the company.

the owner in a sole proprietorship
a limited partner in a partnership
a general partner
a corporation shareholder
the CEO of a major corporation

Answers

Answer:

first third and fourth

Explanation:

saw it on quizlet

What can accurately predict whether you will be a successful entrepreneur?

Answers

Answer:

your attitude

Explanation:

the scott company had the following activities during 2019. during the year, work-in-process increased by $2,500 and finished goods decreased by $6,000. during the year, work-in-process increased by $2,500 calculate the amount of direct labor cost for the year

Answers

Answer:

$5,000

Explanation:

The amount of direct labor cost is calculated as;

= Increase in work in process during the year + Increase in work in process during the year

Given that;

Increase in work in process during the year = $2,500

Further increase in work in process during the year = $2,500

Direct labor cost = $2,500 + $2,500

Direct labor cost $5,000

Select the correct answer.
Someone who scores mostly "yes" answers in the social category of the RIASEC would probably not enjoy a career in
A Research
B. Social work
C Nursing
D Teaching

Answers

Answer:

D

Explanation:

Answer:

D, Teaching

Explanation:

have a nice day

Warner Company purchases $50,100 of raw materials on account, and it incurs $62,800 of factory labor costs. Supporting records show that (a) the Assembly Department used $33,500 of the raw materials and $44,400 of the factory labor, and (b) the Finishing Department used the remainder. Manufacturing overhead is assigned to departments on the basis of 160% of labor costs. Journalize the assignment of overhead to the Assembly and Finishing Departments.

Answers

Answer:

[Debit] Work In Process : Assembly Department $47,064

[Debit] Work In Process : Finishing Department $19,504

[Credit] Overheads $66,568

Explanation:

Note that overheads are assigned to departments on the basis of 160% of labor costs. Thus, our first point of call is to determine the labor cost for the respective departments. After that we then apply the 160 % to arrive at the Overheads assigned to that department

Step 1

Determine Departmental Labor Cost

Total Labor Costs         =   $62,800

Assembly Department = ( $44,400)

Finishing Department  =    $18,400

Step 2

Determine Overhead Cost for the Departments

Assembly Department ( $44,400 × 160 %) = $47,064

Finishing Department  ( $18,400 × 160 %)  = $19,504

Step 3

Journalize

Debit the Work In Process Account for the respective department and Credit the Overheads Account as above.

Arabian Beauty Cosmetics borrowed BD 152.300 from the National Bank of Bahrain (NBB) for three years. If the quoted rate (APR) is 11.75%, and the compounding is daily, what is the Effective Annual Rate?​

Answers

Answer: 12.47%

Explanation:

First convert the APR to the relevant periodic rate.

The compounding is done daily so the periodic rate is:

= 11.75%/365

Effective Annual rate is calculated by the formula:

= ( 1 + periodic rate)  ^ compounding period per year - 1

= ( 1 + 11.75%/365)³⁶⁵ - 1

= 12.47%

Discuss why perfect competition is often described as the 'ideal' market structure.

Answers

Answer:

Perfect competition is an ideal type of market structure where all producers and consumers have full and symmetric information, no transaction costs, where there are a large number of producers and consumers competing with one another. Perfect competition is theoretically the opposite of a monopolistic market

Explanation:

brainliest plzzzz

Only answering so you can mark the other person as the best

Decision making is often a biased and flawed process. This activity is important because a person who can identify and be aware of their biases may be able to make better decisions for themselves and may be able to diagnose flawed decisions that affect their workplace. The goal of this exercise is to test your knowledge of the nine fundamental decision-making biases given below.

a. Availability Bias
b. Representativeness Bias
c. Sunk-Cost Bias
d. Anchoring and Adjustment Bias
e. Confirmation Bias
f. Overconfidence Bias
g. Hindsight Bias
h. Framing Bias
i. Escalation of Commitment Bias

Answers

Answer:

a. Availability bias ⇒ Cori

This bias refers to the mind's tendency to evaluate a topic based on the examples that they already know of and therefore come to their mind first. Cori thought of her weather at home first and related it to Australia.

b. Representativeness Bias ⇒ Trinity

This bias is one that people make when things are related. They assume that if it is the case for an event, related events should work the same as well.

c. Sunk-cost bias ⇒ Zion

This bias refers to the making of decisions based on sunk costs. Zion's transmission is a sunk cost but he used it as a basis to fix the brakes.

d. Anchoring and Adjustment bias ⇒ Nishka

This bias occurs when we look upon new information with a biased view as Nishka did when they looked at the prices of cheaper cars.

e. Confirmation bias ⇒ Declan

Confirmation bias is when we only listen to information that supports our view much like Declan here who disregarded information that criticized his car model.

f. Overconfidence bias ⇒ Milo

This bias results from having unfounded confidence in our ability to do something much like Milo here who believed he was good enough to invest as his broker who had to go through more intensive training.

g. Hindsight bias ⇒ Sai

Believing that we always knew something was going to happen after the thing happens.

h. Framing bias ⇒ Rosa

This bias occurs when decisions are made based on one aspect due to the decision being framed from that aspect.

i. Escalation of Commitment Bias ⇒ Amara

This bias occurs when we continue to follow a decision path even though that decision has proven to provide negative consequences.

can produce two types of light fixtures, the indoors model and the outdoors model. if the total sales are expected to be 21,050 units, what would be the totla operating income of the company if it decides to buy the new production equipment

Answers

Answer:

$1,000,000    

Explanation:

The computation is shown below:

Particulars               Indoors Model                Outdoors Model            Total

No of Units

(21,050 in ratio 2:3)     8,420                                   12,630                  21,050

Sales                          1,263,000                            2,778,600            4,041,600

Less: Variable costs   168,400                                 505,200              673,600

Contribution margin   1,094,600                            2,273,400               3,368,000

Less: Fixed costs

(2,160,000 + 208,000)                                                                    2,368,000

Operating Income                                                                           1,000,000

In 2009, an agricultural company introduced a new cropping process which reduced the cost of growing some of its crops. If sales in 2008 and 2009 were steady at $30 million, but the gross margin increased from 2.9% to 3.2% between those years, by what amount ($) was the cost of sales reduced

Answers

Answer: $90,000

Explanation:

If sales in 2008 and 2009 were steady at $30 million, but the gross margin increased from 2.9% to 3.2% between those years, the amount by which the cost of sales would be reduced would be:

= $30 million × (3.2% - 2.9%)

= $30 nillioy× 0.3%

= $30 million × 0.003

= $90,000

Jonathan wants to create a web page visually. Which of the following should he use?

HTML
Java
Text Editor
WYSIWYG

Answers

Answer:

HTML

Explanation:

Answer:

HTML

Explanation:

If the company allocates overhead based on direct labor cost, what are the total actual manufacturing overhead costs

Answers

Answer: $228,900

Explanation:

Manufacturing overheads =  Factory depreciation + Factory utilities + Indirect labor + Factory rent + Factory property taxes + Indirect materials

= 65,600 + 30,900 + 22,600 + 47,800 + 28,700 + 33,300

= $228,900

ou've just taken on a new client, a small business owner, who was managing their books with spreadsheets. What's the recommended first step to begin working with this client in QuickBooks Online?

Answers

The options available are:

A. Ask them to sign up for QuickBooks Online on QuickBooks.com

B. To Create a QuickBooks Online for them and manually email them their Intuit ID and password

C. Add new client in QuickBooks Online Accountant

D. Add new client in QuickBooks Online

Answer:

Add new client in QuickBooks Online Accountant

Explanation:

In this situation, as the new client, the recommended first step to begin working with this client in QuickBooks Online is to add the client in QuickBooks Online Accountant.

This will assists you in getting their information and at the same time have direct access to the client's account and easily work on the client's bookkeeping.

Hence, in this case, the correct answer is "Add new client in QuickBooks Online Accountant."

does anyone know a free app that i can watch shows on? what show u may ask it called the 100​

Answers

Answer:

You can download Tubi or Pluto tv they have shows and movies as well

Explanation:

Randi wants to hire five workers for her factory. She is finding that the people
who live in the same county as the factory lack the skills needed to perform
the job. She has been told that workers from surrounding areas are not willing
to drive over 100 miles each day to get to the factory. Which situation is Randi
facing?

Answers

Answer:

D

Explanation:

which of the following is a common risk of using credit to make purchases
overspending
having to wait a longer for the good
underspending
losing payment records

Answers

Answer:

overspending

Explanation:

Credit purchases encourage one to spend more than they can afford. The fact that the sellers do not demand cash when goods change hands entices people to buy more. In credit purchases, cash is not required, only a commitment to pay later, which leads to overspending.

Overspending increases the probability of defaulting on credit payments. When the debt to income level rises too much, the borrower may be forced to miss some installment payments and cater to basic needs.

Answer:

overspending

Explanation:

yaba daba doo hubba da old navy

Horford Co. has no debt. Its cost of capital is 8.9 percent. Suppose the company


converts to a debt-equity ratio of 1.0. The interest rate on the debt is 5.7 percent. Ignore


taxes for this problem.


a. What is the company's new cost of equity? (Do not round intermediate calculations


and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)


b. What is its new WACC? (Do not round intermediate calculations and enter your


answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answers

Answer:

A. 12.1%

B. 8.9%

Explanation:

a. Calculation for What is the company's new cost of equity

Using this formula

New cost of equity=Cost of capital+[(Cost of capital- Debt interest rate ) *(Debt-equity ratio)*(1)]

Let plug in the formula

New cost of equity=[0.089+[(0.089-0.057)*(1)*1]

New cost of equity=[0.089+0.032*(1)*1]

New cost of equity=[0.121*(1)*1]

New cost of equity=0.121*100

New cost of equity=12.1%

Therefore the company's new cost of equity will be 12.1%

b. Calculation for What is its new WACC

Particular Weight Cost Weighted cost

Equity 0.5000 *12.1% = 0.0605

Debt 0.5000 * 5.7% =0.0285

WACC =0.089*100

WACC =8.9%

(0.0605+0.0285)

Therefore the new WACC will be 8.9%

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