There is an animal farm where chickens and cows live. All together, there are 59 heads and 184 legs. How many chickens and cows are there on the farm?​

Answers

Answer 1

Answer:

There are 33 cows and 26 chickens

Step-by-step explanation:

Problem Solving

This problem can easily be solved by using equations, but it's more fun to solve it through pure reasoning and arithmetics.

Let's imagine there are no cows on the farm. Just chickens. 59 chicken heads mean 59*2 = 118 legs.

Now let's take one chicken out and one cow in. The number of heads will remain the same, but now there are two more legs: 120 legs.

We are closer to the answer. The trick is to calculate how many chickens we have to exchange for cows knowing each change means two more legs.

Since we initially had 118 legs, we need to add 184 - 118 = 66 more legs.

62 more legs are 66/2 = 33 changes or 33 cows.

The number of chickens is 59 - 33 = 26

Answer: There are 33 cows and 26 chickens


Related Questions

Heather works as a waitress at her family’s restaurant. She works 4 hours every morning during the breakfast shift and returns to work each evening for the dinner shift. In the last four days, she worked 26 hours. If Heather works the same number of hours every evening, how many hours did she work during each dinner shift?

Answers

Answer:

5 hours

Step-by-step explanation:

she works 5 hours each dinner shift

Bc+ad=b solve for a

Answers

Answer:

bc+ad=b

ad=b-bc

ad=b(1-c)

a=(b(1-c))/d

Answer:

Step-by-step explanation:

ad = b - Bc

a = (b - Bc)/d

Solve five ninths plus four sixths

sixty six fifty fourths

ten fifteenths

nine tenths

thirty ninths

Answers

Answer:

Your answer will be Sixty Six Fifty Fourths

Step-by-step explanation:

Make it the same denominator so you can add them (18.)

Multiply 5/9 by 2 and multiply 4/6 by 3.

10/18 + 12/18 = 22/18.

Since there is not 22/18 listed, you can use this fraction as a proportion. The only proportion that can be evident is answer A, as when you multiply 22/18 by 3, you get 66/54.

Hope this helps! ;)

Find the centroid of the triangle with these vertices: P (-1,7), Q (9,5), and R (4,3).
The coordinates of the centroid are?​

Answers

Answer:

The coordinates of the centroid are:

[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]

The diagram is also attached below.

Step-by-step explanation:

Given the vertices

P (-1, 7)Q (9, 5)R (4, 3)

We know that the intersection of medians brings the centroid of the triangle.

The centroid of a triangle is given by

[tex]O\:=\:\left(\frac{P_x+Q_x+R_x}{3},\:\frac{P_y+Q_y+R_y}{3}\:\right)[/tex]

In this example,

[tex]P_x=-1,\:P_y=7[/tex]

[tex]Qx=9,\:Q_y=5[/tex]

[tex]Rx=4,\:R_y=3[/tex]

substituting in the formula

[tex]O\:=\:\left(\frac{-1+9+4}{3},\:\frac{7+5+3}{3}\:\right)\:\:[/tex]

[tex]O\:=\:\left(\frac{12}{3},\:\frac{15}{3}\:\right)\:\:[/tex]

[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]

Therefore, the coordinates of the centroid are:

[tex]O\:=\:\left(4,\:5\right)\:\:[/tex]

The diagram is also attached below.

We've been given with the co-ordinates of vertices of the triangle and asked to calculate the co-ordinates of the centroid.

Centroid of a triangle :-

[tex]\red{\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} } \: , \: \dfrac{y_1 \: + \: y_2 \: + \: y_3}{3} }} \: \pink\bigstar [/tex]

We have :

x₁ = -1x₂ = 9x3 = 4y₁ = 7y₂ = 5y3 = 3

Substituting the values :

For x co-ordinate:-

[tex]: \: \implies \: \sf{x\: = \: \dfrac{x_{1} \: + \: x_2 \: + \: x_3}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ - 1 \: + \: 9 \: + \: 4}{3}} \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ 8 \: + \: 4}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \dfrac{ 12}{3} } \\ \\ : \: \implies \: \sf{x\: = \: \cancel\dfrac{ 12}{3} } \\ \\ : \: \implies \: \sf{x\: = \: 4 }[/tex]

For y co-ordinate:-

[tex]: \: \implies \: \sf{y\: = \: \dfrac{y_{1} \: + \: y_2 \: + \: y_3}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 7 + 5 + 3}{3}} \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 10 \: + \: 5}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \dfrac{ 15}{3} } \\ \\ : \: \implies \: \sf{y\: = \: \cancel\dfrac{ 15}{3} } \\ \\ : \: \implies \: \sf{y\: = \: 5 }[/tex]

Henceforth,

Co-ordinates are (4 , 5)

Additional Information :

Midpoint of two points:-

[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]

Distance Formula :-

[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]

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Patricia bought three dresses that each cost the same amount and a pair of jeans that cost $45 the items she brought cost a total of $150 before tax was added

Answers

Answer:$35 for each dress

Step-by-step explanation:

150-45=105

105/3=35

$35 each dress

i need the helpp someone respond asap

Answers

Answer:

Uh- 1? I'm not sure, but I think?

Answer:

It’s 125

Step-by-step explanation:

i need help with this, anyone wanna help?

Answers

Answer:

C

Step-by-step explanation:

Answer:

Given : A=(1,2)≡(x  

1 ,y  

1

) and B=(3,−2)≡(x  

2

,y  

2

)

Let M=(x,y) be the midpoint of AB

x=(  

2

x  

1

+x  

2

 

) and  y=(  

2

y  

1

+y  

2

 

)

Then, x=  

2

1+3

and y=  

2

2−2

 

⟹x=2 and y=0

∴M=(2,0)

∴ Coordinates of the midpoint of AB is (2,0)

Step-by-step explanation:

What is it will mark Brainliest

Answers

Answer:

y=10

Step-by-step explanation:

If u need work just ask me in the comments!

Answer:

The highest point of y is 16, so the absolute maximum is y=16.

A recipe says to use 3 cups of flour to make 48 cookies. What is the constant proportionality that relates the number of cookies, y, to the number of cups of flour used, x?

Answers

Answer  k=16

A recipe says to use 3 cups of flour to make 48 cookies.

the number of cookies made, y, to the number of cups of flour used,x .

Than

y = kx

Where k is the constant of proportionality.

48 = 3k

k = 16

Therefore the constant of proportionality is 16.

A minicar race is being held in Shipton. There are 4 students from Westview School who have entered it. There are 7 students from Eastmont School who have entered. How many students from both schools have entered the race? "_______ students from both schools have entered the race."

Answers

Answer:

11 students

Step-by-step explanation:

In order to solve this problem, you would simply need to add the provided number of students from each school together. This would give you the total number of students from all of the aforementioned schools that have decided to enter the race.

4 + 7 = 11 students

Therefore, we can see that a total of 11 students from both schools have entered the race.

Answer all questions

DO NOT ANSWER IF YOU DO NOT KNOW
DO NOT SCAM

Answers

Answer:

1. The Industrial Revolution had many positive effects. Among those was an increase in wealth, the production of goods, and the standard of living. People had access to healthier diets, better housing, and cheaper goods. In addition, education increased during the Industrial Revolution.

3.Socialism is an economic and political system. It is an economic theory of social organization. It states that the means of making, moving, and trading wealth should be owned or controlled by the workers. This means the money made belongs to the workers who make the products, instead of groups of private owners.

6.Under capitalism, you work for your own wealth. ... Socialist systems emphasize equal distribution of wealth among the people. Communism. In a way, communism is an extreme form of socialism.

Step-by-step explanation:

     that's all I know!!

please help me with this question ​

Answers

Answer:

it is not linear

Step-by-step explanation:

The ratio of plastic bags to paper bags in a grocery store was 5/7. There were 276 bags. How many were plastic bags?

Answers

Answer: 115 bags

Step-by-step explanation: 115/161 eqauls 5/7

If it takes 42 strokes to fill up 3/5 of a line of typing, how many more strokes will it take to complete the line?

Answers

Answer:

28 strokes

Step-by-step explanation:

The computation is shown below:

It is given that the 42 strokes are required to fill up the 3 by 5th

So for completing the line, the number of additional strokes required is

But before the total strokes required is

= 42 × 5 ÷ 3

= 70

This represent the total

so, the additional strokes is

= 70 - 42

= 28 strokes

What is the Pr me Factorization of 402?​

Answers

i think it’s 2,3,67

Would you need circumference or area to find the amount of oil it takes to cover the bottom of a frying pan?

Answers

Answer:

circumference

Step-by-step explanation:

can somebody please help me

Answers

Answer:

[tex]C.650,000\ pounds[/tex]

Step-by-step explanation:

[tex]We\ are\ given,\\No.\ of\ superheroes\ =3\ superheroes\\Weight\ in\ Tons\ 3\ superheroes\ can\ lift\ together=975\ tons.\\Hence,\\As\ we\ know\ that,\\1\ ton=2000\ pounds\\Hence,\\Weight\ in\ Pounds\ 3\ superheroes\ can\ lift\ together=975*2000\ pounds\\Hence,\\Weight\ in\ Pounds\ 3\ superheroes\ can\ lift\ together=1,950,000\ pounds\\Hence,\\Weight\ in\ Pounds\ 1\ superhero\ can\ lift=\frac{Weight\ in\ Pounds\ 3\ superheroes\ can\ lift}{No.\ of\ superheroes}\\[/tex]

[tex]Hence\ by\ substituting\ values,\\Weight\ in\ Pounds\ 1\ superhero\ can\ lift=\frac{1,950,000}{3}= 650,000\ pounds[/tex]

please help thanks in advance also best answer get's brainlest

Answers

Answer:

angle t is 55 degrees

Step-by-step explanation:

Here's my work:

Isoscelese means two of the same length sides. A triangle is 180 degrees. 180-70=110

110/2=55 (two because those are the two angles associated with the equal sides)

Estimate the difference.

14One-ninth – 5.89

8
12
16
20

Answers

Answer:

8

Step-by-step explanation:

exact

127/9-5.89

14.11-5.89

8.22

estimating

14 1/9 is close to 14

5.89 is close to 6

14-6 is 8

Answer:

the answer is 8

Step-by-step explanation:

hope i help

Sangeet got 96% of his answers right in a test of 50 marks. What was his score out of 50?​

Answers

Answer:

48/50

Step-by-step explanation:

So find 96 percent of 50

Now divide it

48/50

You dont gotta divide, leave it as fraction

A pair of shoes is ticketed $49.99 but marked 15% off. You had a coupon for an additional 10% off the sales price. You have to pay 6.75% sales tax on shoes. How much are you paying?​

Answers

Answer:

$40.86

Step-by-step explanation:

just multiply 49.99 times 0.15 then multiply 49.99 times 0.10 then add those together to get 12.49 then multiply 49.99 times 0.0675 to get 3.37 then subtract 12.49 from 49.99 then add 3.37 to that so like

(49.99 - 12.49) + 3.37 = 40.86

NEED HELP NOW WILL GIVE BRAINLEIST!!!!!!b) Calculate the area of the red triangle to find the area of the garden. Show your work. (2 points)

Answers

Answer:  9 ab is the area of the garden.

No scale or dimensions are given, so

Estimating to get a practical, reasonable answer:

Using typical walkway widths to 6 ft, it is reasonable to calculate the area the red triangle to be 486 square feet

and the area of the garden to be about 4400 square feet, rounding up.

OR

Using a metric standard of 2 meters, The area of the red triangle would be 54m²

The area of the garden would be about 500m²

Step-by-step explanation:

The area of the red triangle is [tex]A = \frac{ab}{2}[/tex]  That is assuming that it is a right triangle and side a is the altitude or height of the triangle and side b is the base.  

The measurements of the triangle are approximately in the proportion of 3, 4, 5, a typical "Pythagorean Triple" right triangle.

Estimating from rough measurements of the triangle and the dimensions of the garden as shown, it appears that the area of the garden is about 18 times the area of the red triangle.

The area of the triangle is half the area of a rectangle with the same side lengths a & b, so 9 ab is a good estimate of the area of the garden.

If  the walkways are the typical 6 foot width found in many public gardens, and the length side b is the about 6 of those widths, and side a is about 4.5 of those widths, we can estimate the altitude to be 27 and the base to be 36 (in the proportion 3:4).

Area of the triangle estimate: A = 36ft × 27ft /2 = 486 square feet

OR

Using a metric standard, estimate  a 2 meter wide sidewalk, the area of the triangle can be reasonably calculated to be A = 9m × 12m /2 = 54 m²

The area of the garden would be 9 × 54 = 486m² rounded reasonably to 500m²

Answer: 5400

Step-by-step explanation:The area of the triangle is defined as the product of half the base and the height of the triangle. The area of the triangle = 1/2 x b x h It is given that the length of the sides are as A= 90 B=120 C=150.

So, The area of the triangle = 1/2 x b x h = b x h/2  = 120 x 90/2 = 10800/2 = 5400

please help !!! due soon!!!!!

Answers

Answer:

B

Step-by-step explanation:

B is the correct option

One equation that only has no solution

Answers

What does that mean?

can someone help me, I really need help .​

Answers

Yes I can help you with the question you have displayed

Answer:

5) 12  6) -12  7) -6  8) 2  9) 80 degrees  10) 40 degrees

Step-by-step explanation:

:)

1. 0 f the 320 eighth
grade students at
HNMS, 35% are female.
How many eighth grade
students are male?

Answers

Answer:

There are 208 male students in the eight grade.

Step-by-step explanation:

320 students all together - 35% female students= 208 male students


Sophia spent $75.00 of her $225.00 paycheck on new shoes. What percent of her paycheck did she spend on the new pair of shoes?

Your answer:

if you do solve please make an explanation :)

Answers

Answer:

33.33%

Step-by-step explanation:

75*100=7500

7500/225=33.3333333

ill offer 50 points plus 30 points for all of this

Answers

Answer:

0.64 Fraction: 16/25   Percent: 64%

55%  Fraction: 11/20    Decimal: 0.55

0.16    Fraction: 4/25           Percent: 16%

17/100  Decimal: 0.17            Percent: 17%

0.35       Fraction: 7/20        Percent: 35%

28%     Fraction: 7/25          Decimal: 0.28

62.5%    Fraction:  5/8          Decimal: 0.625

Step-by-step explanation:

Answer:

0.64 Fraction: 16/25   Percent: 64%

55%  Fraction: 11/20    Decimal: 0.55

0.16    Fraction: 4/25           Percent: 16%

17/100  Decimal: 0.17            Percent: 17%

0.35       Fraction: 7/20        Percent: 35%

28%     Fraction: 7/25          Decimal: 0.28

62.5%    Fraction:  5/8          Decimal: 0.625

Step-by-step explanation:

Plz answer quickly will mark brainless

Answers

Answer:

652

Step-by-step explanation:

7*18*2=252 for right and left

8*18*2=288 for front and back

7*8*2=112 for top and bottom

252+288+112=652

(can I get brainliest now)

Answer: SA=652 ft^2

Step-by-step explanation:

144(2)+126(2)+56(2)=SA

288+252+112=SA

SA=652 ft^2

this might be wrong btw

Jeff collects baseball cards. His collection is getting quite large, so he would like to keep
the cards in an album. He has an average of 10 cards for each of 24 teams. How many
album pages will he need if each page can hold 8 cards (4 on each side)?

Answers

Answer:

30

Step-by-step explanation:

10 x 24 = 240

240 divided by 8 = 30

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