(1) Farmer Ben has only ducks and cows 21 in total. He can’t remember how many of each he has. He knows
that the animals have a total of 52 legs. Assuming that each animal has all legs intact and no extra
limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer this question.


(2) On a merry-go-round, 12 horses are evenly spaced on the outside perimeter. Abe is opposite to the first
horse. It takes 4 seconds for the fourth horse to reach Abe. How long will it take the merry-go-round to
go around once? Draw a clear diagram to answer this question. Make a Diagram and solve this problem.

(3) Charmin’s daughter has $6.00 she wants to spend on a comic books and superhero cards. Comic books
cost 75 cents each, and deluxe packages of superhero cards cost $1.50 each. List all the ways she can
spend all of her money on comic books, superhero cards , or both.

(4) In how many ways can one add only three positive even numbers and get 22? Make a systematic list
and show all the possibilities.

Can somebody plzz help me on these for questions i really need to pass this and show work

Answers

Answer 1

Answer:

Answer of #1

5 Cows and 16 Ducks

Explanation:

4x + 2(21-x) = 52

4x + 42 - 2x = 52

2x + 42 = 52

     - 42 - 42

2x = 10

x = 5 Number of cows

21 - 5 = 16 ducks.

Checking: The 5 cows have 5 x 4 = 20 legs. The 16 ducks have 16 x 2 = 32 legs.

32 + 20 = 52


Related Questions

what state is called the sunshine state​

Answers

Answer:

Florida

Explanation:

Nickname of U.S. state

How much principal must be
invested to earn $36 in 1/2 a year
at an interest rate of 8%?

Answers

Answer:

Simple interest: $70.56

Annually compounded Interest: $90.65

Explanation:

Answer
900$

let our principal be P
as SI = P x R x T / 100
=> P x 8 x 1 / 100 x 2 = 36
=> 0.04 x P = 36
=> P = 36 / 0.04
=> P = 900$

Which of the following elements must be present on a fertilizer label?
iron
manganese
copper
potassium

Answers

Answer:

 Potassium, Ive learned about this before. Goodluck!

Explanation:

Around half of the electricity used in the United States is powered by burning coal. The United States is a developed country with a high level of carbon emissions. Select TWO realistic actions that could help to provide energy for the United States and also help to lower carbon emissions.

A
Create more fossil fuels.

B
Build additional power plants.

C
Reduce the demand for energy.

D
Use renewable sources of energy.

E
Make products that are more efficient.

F
Develop technology to better harvest fossil fuels.

Answers

The two options would be to reduce the demand for energy and or use renewable sources of energy. Options C and D are correct.

How to reduce carbon emission

The burning of fossil fuels such as coal and crude oil-derived fuels generates a large amount of emissions.

In order to cut down on the emission, the demand for energy needs to be lowered by all means. In addition, instead of using fossil fuels, renewable sources of energy can be used.

Greenhouse gases such as carbon dioxide, oxides of sulfur, and water vapor are produced largely as by-products of burning fossil fuels. These gases form a layer in the atmosphere and trap reflected solar radiation.

By doing so, the increase the average annual temperature of the planet (global warming). The warming of the planet has several negative effects on the climate and the ecosystems as a whole.

Renewable sources of energy, on the other hand, have very little to no greenhouse gas emissions.

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You need to have a password with 5 letters followed by 2 odd digits between 0 and 9, inclusive. If the characters and digits cannot be used more than once, how many choices do you have for your password?

Answers

5 letters (26 choices without replacement)
26*25*24*23*22

2 odd digits (5 choices w/o replacement)
5*4

26*25*24*23*22*5*4
= 157,872,000 choices

Which statement BEST summarizes how climate change can affect the mass migration of humans on Earth?

A
Climate change can increase the risks of natural hazards in a location, increasing the number of humans that migrate to it.

B
Climate change can increase the amount of natural resources available in areas, attracting humans to migrate to those locations.

C
Climate change can decrease the carrying capacity of areas, forcing humans to migrate to other locations where their needs can be met.

D
Climate change can decrease the rate of natural processes in a location, causing humans to migrate to areas where processes occur quickly.

Answers

Answer:

A best summarizes how climate change can affect the mass of migration of humans on earth

The statement that best summarizes how climate change can affect the mass migration of humans on Earth is climate change can decrease the carrying capacity of areas, forcing humans to migrate to other locations where their needs can be met. Therefore, option C is correct.

What is migration?

Migration is the process of moving from one place to another for an extended period of time. It can be a temporary or permanent relocation and can occur voluntarily or involuntarily.

People migrate for various reasons, including seeking better economic opportunities, fleeing persecution or conflict, or environmental factors such as droughts or natural disasters.

Migration can occur within a country or across international borders. It can be a personal decision or a collective one, such as when groups of people move together as families or communities.

Migration can have both positive and negative impacts on individuals and society, including economic growth, cultural exchange, and social tensions. It is an important phenomenon that has shaped human history and continues to shape the world we live in today.

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In Center City, the ratio of people to dogs is 4:1, and the ratio of dogs to cats is 3:2. What is the ratio of people to cats?

Answers

Answer:

let's say theres 30 dogs

so 4:1 not simplified is 120:30

the ratio of dogs to cats would be 30:20

(3x10 = 30 and we have to do 2x10 as well which would equal 20)

120:20 would be the Ratio of ppl to cats

simplified

120/20 = 6

20/20 / 1

6:1

To turn left from a one-way street onto a one-way street, use:

Answers

To turn left from a one-way street onto a one-way street, a driver should use: the lane closest to the left curb.

What is a traffic signal?

A traffic signal is a sign that is erected beside or above roads by a road safety agency, so as to give warnings and instructions to road users such as:

Drivers Pedestrians

At some intersections, a driver should use the lane that is closest to the left curb when turning left from a one-way street onto a one-way street.

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Choose THREE agricultural activities that humans perform to minimize their impact on climate change.

A
drain wetlands

B
plant cover crops

C
leave land untouched

D
use additional fertilizers

E
breed drought tolerant plants

F
clear additional land for livestock

Answers

Answer:

B,C and E are the three agricultural activities that humans perform to minimize their impact on climate change.

what is two plus two

Answers

Answer: 4

Explanation:

Two plus two equals four

The following question has two parts. First, answer Part A. Then, answer Part B.

Part A:

Based on the charts in the passage, how has the production of coal and solar energy in California changed between 2005 and 2015?

A
The production of both coal and solar increased.

B
The production of both coal and solar decreased.

C
The production of coal increased, while the production of solar decreased.

D
The production of coal decreased, while the production of solar increased.

Part B:

Which statement BEST explains why the change in coal and solar production most likely occurred?

A
Solar energy technology has improved and increased in capacity, but coal has decreased in capacity because it is a limited resource.

B
Solar energy technology has improved and increased in capacity, while coal has also increased in capacity because new coal forms all the time.

C
Solar energy technology has become too complex and decreased in capacity, but coal has increased in capacity because new coal forms all the time.

D
Solar energy technology has become too complex and decreased in capacity, while coal has also decreased in capacity because it is a limited resource.

Answers

Based on the chart, the correct options are:

The production of coal decreased, while the production of solar increased; option D.Solar energy technology has improved and increased in capacity, but coal has decreased in capacity because it is a limited resource; option A

What is solar energy?

Solar energy is a type of renewable energy from the sun.

Solar energy is gradually being used to replace non-renewable energy sources such as coal.

Based on the chart:

The production of coal decreased, while the production of solar increased; option D.

Solar energy technology has improved and increased in capacity, but coal has decreased in capacity because it is a limited resource.

In conclusion, solar energy production is increasing.

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Which sentence about flexible spending accounts (FSAs) is true?
O A. The funds in the account remain for as long as you're employed by the company sponsoring the FSA.
O B. Contributions are taxed when funds are withdrawn to use on qualifled expenses.
© C. Contributions are made with pretax dollars.
© D. There Is no
contribution limit.

Answers

Answer:

The Answer is C

Explanation:

One of the many tax-advantaged bank accounts that might save your payroll taxes is a flexible spending account. There is no contribution limit. This sentence is true about flexible spending accounts( FSAs ).

What is flexible spending accounts ?

One of the many tax-advantaged bank accounts that might save your payroll taxes is a flexible spending account, often called a flexible spending arrangement.

You can use pre-tax money from an Employee Reimbursement Account ( ERA ), also known as a Flexible Spending Account ( FSA ), to reduce the cost of qualified healthcare or child care costs each year.

You have a set amount of time during run out to submit claims for the prior year. Run out periods offer some more time for reimbursement. This is applicable to a Dependent Care FSA, Health FSA, and LPFSA.

Thus, option D is correct.

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Can someone recommend a page to make concept maps?

Answers

If your asking about like concept webs that branch from a bigger picture to smaller concepts, I actually use PowerPoint for this. They have a smart art feature and you can make all sorts of webs and flowcharts. Hope that helps!

How many liters each of a 50% acid solution and a 75% acid solution must be used to produce 90 liters of a 60% acid solution? (Round to two decimal places if necessary.)

Answers

The numbers of liters that is needed is 40 liters of 25% solution and 40 liters of 65% solution.

What is the litters about?

Note that:

We take x = volume of 25% solution.

We take y = volume of 65% solution.

So, Equation of total volume:

x + y = 80

Hence the equation of amount of acid:

0.25x + 0.65y = 0.45(80)

0.25x + 0.65y = 36

Solve x + y = 80 for x.

x = 80 - y

Then Substitute into the second equation.

0.25(80 - y) + 0.65y = 36

20 - 0.25y + 0.65y = 36

0.4y = 16

y = 40

x + y = 80

x + 40 = 80

x = 40

Therefore, The numbers of liters that is needed is 40 liters of 25% solution and 40 liters of 65% solution.

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A comet is a small object that also orbits the Sun. Comets have highly elliptical orbits. Based on Kepler’s laws, which statement is MOST LIKELY correct about comets? A Comets travel with a uniform speed. B Comets do not have the Sun as a focus. C Comets spend most of their time close to the Sun. D Comets spend most of their time far from the Sun.

Answers

Answer:

D. Comets spend most of their time far from the Sun.

which of these best describes a biome

Answers

Answer:

Could you describe your question more? I think you forgot to attach a picture.

Explanation:

Answer:

A biome is a large area characterized by its vegetation, soil, climate, and wildlife. ... Grasslands are open regions that are dominated by grass and have a warm, dry climate. There are two types of grasslands: tropical grasslands (sometimes called savannas) and temperate grasslands

Explanation:

Assuming The Inflation Rate Rises give one Implication That This Increased Inflation Rate Would Have On the Import cost of creative Stamps And Craft Pens From China

Answers

higher shipping costs will raise importing costs

The inflation rate will be considerably dependent on the shipping as well as importing costs of the products.

What is the Inflation rate?

The inflation rate may be defined as a type of rate at which prices of goods and services increase over a time period, resulting in a decline in the purchasing value of money.

It is a general increase in the prices of goods and services in an economy during the course of the time period. It reveals the strength of the economy.

The inflation rate is directly related to the economy of the country. Higher the inflation rate, the weaker the economy of the country. But it significantly overall depends on the GDP, importing costs, shipping charges, etc.

Therefore, the inflation rate will be considerably dependent on the shipping as well as importing costs of the products.

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If anyone cares to leave( he or she, they) may do so now.

Answers

They because the person speaking is referring to people not a specific gender

Answer:

he or she

Explanation:

the reason is that the question says if anyone and that's a pronoun

ADM Calling lead source in sales team

Answers

The ADM Calling lead source in sales team is known to be made up of

Lead CaptureLead AssignmentView Enquiry or Lead HistoryTargets vs. AchievementRole Based Permissions Dashboards & Reports, etc.

What is ADM lead?

ADM Lead Management is known to be one that gives room for a person to be able to put together and streamline the enquiries that are said to be made from a lot of channels to one cloud-based module.

Note that this is one that helps a person to be able to see company details and also all of their contact records, and see communication history, and others without any form of stress.

The lead source is seen as the main channel via which a lead starts to discovers a company.  Therefore, The ADM Calling lead source in sales team is known to be made up of

Lead CaptureLead AssignmentView Enquiry or Lead HistoryTargets vs. AchievementRole Based Permissions Dashboards & Reports, etc.

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are these good to submit they are worth 50 % of my grade

Answers

Answer:

YES

Explanation:

They are perfect

Answer:

yes

Explanation:

If the odds against event E are 1 to 19 what is the probability of E

Answers

Answer:

18 to 19

Explanation:

it is the opposite

to find out what information people are posting about you online it is important that you closely monitor
a. your text records
b. the social media websites you participated in
c. your insurance records
d. your phone records​

Answers

B. The social media websites you participated in

Answer:

B

Explanation:

If warming trends continue, which of the following could happen to the glacial ecosystem? Choose ALL that apply.

A
Glacial runoff will begin earlier in the year, and as a result, streams will also warm earlier. Warmer streams will affect native fish populations.

B
Glacial melt and warmer temperatures will increase humidity levels in the ecosystem. This will decrease fish populations that thrive in colder climates.

C
Glacial loss will cool parts of the ecosystem, but because overall temperatures are warmer, precipitation will increase. Increased rain will raise stream and lake levels and increase fish populations.

D
Glaciers will melt into nearby bodies of water. The water levels will rise and create an overall cooling effect on the ecosystem, resulting in a net zero temperature change. The fish population will be unaffected.

E
Glaciers will melt into nearby oceans, causing the salt levels of the ocean to go down. This will increase the available habitat for fish and cause an increase in the nearby population.

Answers

If global warming trends continues, the options that could happen to the glacial ecosystem are;

"Glacial melt and warmer temperatures will increase humidity levels in the ecosystem. This will decrease fish populations that thrive in colder climates." (Option B)

What is global warming?

Global warming is the name given to the occurrence of the continual melting of the ice cap and the negative effects that this can have on the earth.

Thus, it is right to state that glacial melt will decrease fish populations that thrive in the colder climates.

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Answer: C and E

Explanation:

I just took the test trust

In a​ poll, 1002 adults in a certain country were asked whether they favor or oppose the use of​ "federal tax dollars to fund medical research using stem cells obtained from human​ embryos." Based on the poll​ results, it is estimated that 46​% of adults are in​ favor, with a margin of error of 3 percentage points. Use the given statistic and margin of error to identify the range of values​ (confidence interval) likely to contain the true value of the population parameter

Answers

The range of values likely to contain the true value of the population parameter is from 43% to 49%.

What is Population parameter?

This is referred to a statistical measurement for a particular population and is usually fixed.

We were told that the margin of error is 3 percentage points. This therefore means:

(46 ± 3) % = (46-3)% to (46+3)%

Therefore the range of values is 43% to 49%.

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Helllppp plsss (SAT PREP) Find the value of x

Answers

Answer:

2x+90°+20°=180°

2x+110°=180°

2x=180°-110°

2x=70°

x=35°

According to the text, which THREE phenomena are a direct result of, or are made worse by, human activities?

A
reduction in seasonal river flooding

B
creation of barrier islands

C
fluctuation of sea levels

D
loss of river sediments

E
deposition of delta sediments

F
filling in of wetlands

Answers

Human activities have worsened:

fluctuation of sea levels: Option Creduction in seasonal river flooding; option Closs of river sediments; option D

How does human activity affect the coastal environment?

Human activities have been known to cause or worsen adverse environmental conditions.

Human activities such as overfishing, lack of conservation of water, and pollution of water bodies have resulted in several phenomena such as:

fluctuation of sea levelsreduction in seasonal river floodingloss of river sediments

In conclusion, human activities negatively affect the coastal environment.

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According to the text, which THREE phenomena are a direct result of, or are made worse by, human activities?

A
reduction in seasonal river flooding

B
creation of barrier islands

C
fluctuation of sea levels

D
loss of river sediments

E
deposition of delta sediments

F
filling in of wetlands

Answers

THREE phenomena which are a direct result of, or are made worse by, human activities accoding to the text are:

loss of river sedimentscreation of barrier islandsreduction in seasonal river flooding

What are human activities?

Human activities simply refers to those activities or various actions by man for recreation, living, or necessity done by people. Some of those activities results in situations which affects man too

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A store clerk is paid $10.75/ hour and a store assistant manager is paid $16.25/ hour. How long would it take the store managerto make $500 or more than the store clerk? Round to the nearest hour. Show all work.

Answers

Clerk wages + 500 = manager wages
10.75x + 500 = 16.25
500 = 5.5x
x = 91 hours

Check:
10.75 * 91 = 978.25
16.25 * 91 = 1478.75
1478.75 - 978.25 = 500.5 :)

It will take approximately 91 hours for the store manager to make $500 or more than the store clerk.

If the store clerk is paid $10.75/ hour and the store assistant manager is paid $16.25/ hour, the difference in their pay per hour will be expressed as:

The difference in the amount earned per hour = 16.25 - 10.75

The difference in the amount earned per hour = $5.5

This means that the store assistant manager will collect $5.5 more than the store clerk in one hour. This can be expressed as:

$5.5 = 1 hour

To determine how long it will take the store manager to make $500 or more than the store clerk, we can write:

$500 = x

Divide both expressions:

[tex]\dfrac{5.5}{500} =\dfrac{1}{x} \\Cross \ multiply\\5.5x = 500 \times 1\\5.5x = 500\\x=\frac{500}{5.5}\\x= 90.9 \ hours[/tex]

This means that it will take approximately 91 hours for the store manager to make $500 or more than the store clerk.

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I need help with 2 questions, I don't understand how to do them. Any help would be greatly appreciated!

Answers

The length of CE is 3.6 and the radius of the circle is 2

The length of CE

Start by calculating the length of AD using:

AD^2 = AC^2 - CD^2

This gives

AD^2 = 10^2 - 6^2

AD^2 = 64

Take the square roots

AD = 8

Represent CE with x.

So:

AE = 10 - x

Calculate ED using:

ED^2 = CD^2 - CE^2

ED^2 = AD^2 - AE^2

So, we have:

AD^2 - AE^2 = CD^2 - CE^2

This gives

8^2 - (10 - x)^2 = 6^2 - x^2

Expand

64 - 100 + 20x - x^2 = 36 - x^2

Add x^2 to both sides

64 - 100 + 20x  = 36

Evaluate the like terms

20x = 72

Divide by 20

x = 3.6

Hence, the length of CE is 3.6

The radius of the circle

The equation is given as:

x^2 + y^2 + 6x + 5y = -45/4

Rewrite as:

x^2 + 6x + y^2  + 5y = -45/4

Take the coefficients of x and y

Divide them by 2, square the result and add the result to both sides.

So, we have:

x^2 + 6x + (6/2)^2 + y^2  + 5y + (5/2)^2= -45/4+ (6/2)^2 + (5/2)^2

This gives

x^2 + 6x + (6/2)^2 + y^2  + 5y + (5/2)^2= 4

Express as perfect squares

(x + 3)^2 + (y + 5/2)^2 = 4

The circle equation is represented as:

(x - a)^2 + (y - b)^2 = r^2

Where r represents the radius

By comparison, we have:

r^2 = 4

This gives

r = 2

Hence, the radius of the circle is 2

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A rainstorm in Portland, Oregon, has wiped out the electricity in about 7% of the households in the city. A management team in Portland has a big meeting tomorrow, and all 6 members of the team are hard at work in their separate households, preparing their presentations. What is the probability that none of them has lost electricity in his/her household? Assume that their locations are spread out so that loss of electricity is independent among their households.
Round your response to at least three decimal places.

Answers

The probability that none of them has lost electricity in his/her household is 64.7%.

Probability

Given:

Electricity wiped =P=7%

Team members= n=6 members

Hence;

P(x = 0) = (6C0)(0.07^0)(1-0.07)^6

P(x = 0)= (1)(1)(0.93)^6

P(x = 0)=0.6469×100

P(x = 0)=64.7%

Therefore the probability that none of them has lost electricity in his/her household is 64.7%.

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Hi, = P(x = 0) = (6C0)(0.05^0)(1-0.05)^6 = (1)(1)(0.95)^6 = 0.735 Edited by abozer on ...

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