a farmer has sheep and hen. the sheep and hens together have 100 heads and 356 legs how many sheep and hen are there

Answers

Answer 1

Answer:

22 hens and 78 sheep

Step-by-step explanation:

Let the number of hens = x

Number of sheep = y

Total heads = 100

x +  y = 100      --------------------(I)

x = 100 - y

Number of legs of 'x' hen = 2*x = 2x

Number of legs of 'y' sheep = 4*y = 4y

total legs = 356

2x + 4y =  356 -----------------------(II)

Substitute x = 100 -y in equation (II)

2(100 - y) + 4y = 356

2*100 - 2*y + 4y = 356

200 - 2y + 4y    = 356 {Combine like terms}

       200  + 2y = 356          {Subtract 200 from both sides}

                  2y = 356 - 200

                 2y = 156       {Divide both sides by 2}

                   y = 156/2

                 y = 78

Plugin  y = 78 in equation (I)

x + 78 = 100

      x = 100 - 78

      x = 22

22 hens and 78 sheep


Related Questions

Perform the indicated operation
g(x)=x^3+5x and f(x)=2x-2
Find (g o f)(x)

Answers

Answer:

  g(f(x)) = 8x^3-24x^2+34x-18

Step-by-step explanation:

The composition is ...

  [tex](g\circ f)(x)=g(f(x))=g(2x-2)\\\\=(2x-2)^3+5(2x-2)\\\\=(2x)^3 +3(-2)(2x)^2+3(-2)^2(2x)+(-2)^3+10x-10\\\\=8x^3-24x^2 +24x-8+10x-10\\\\\boxed{(g\circ f)(x)=8x^3-24x^2+34x-18}[/tex]

What is the estimated difference between 7 6/11−5 13/15?

NO LINK OR FILESSSS PLZZZZZZZZZZZZ

Answers

Answer:

1 1/2

Step-by-step explanation:

7 6/11 is close to 7 1/2

5 13/15 is close to 6

7 1/2 - 6 = 1 1/2

does anyone know the answer​

Answers

Answer: C. Distributive Property

Step-by-step explanation: To simplify this expression, you would multiply 6 by y and 2.

In the triangle, x = 3. Find y.
A) y = 6
B) y = 7
y= V3
D) y= 3.72

Answers

Answer:

Below.

Step-by-step explanation:

Using Pythagoras theorem, let's find y.

=> y² = 3² + 3²

=> y² = 9 + 9

=> y² = 18

=> y = √18

=> y = 4.24 (Estimated)

Unfortunately, there is no options of 'y = 4.24'. Please re-check the options you posted.

Hoped this helped.

Please help with this I will mark you as brainliest

Answers

Answer:

The answer is t = 0.25

Step-by-step explanation:

Answer:

t = 0.25

Step-by-step explanation:

Please answer number 1.

I have to do 2 pages of homework I need this done I have school tomorrow..

Have no idea how to do this. Please help I beg you.

Answers

Answer: The two specific conjectures are in the first image, and the two general conjectures are in the second image.

Ok so 0.5 x 10^5 = ? What is the answer? The 5 is little and its on top please i don't know how to explain.

Answers

Answer:

50,000

Step-by-step explanation:

The little 5 is called an exponent, so it would be 0.5*10^5.

Ten to the fifth power. you can take the ten and do this. 10x10x10x10x10. The answer would be fifty thousand

the answer is 50,000

hola pueden ayudar a=6cm b=8cm c?

Answers

Answer:

c=10cm

Step-by-step explanation:

a²+b²=c²

6²+8²=c²

36+64=c²

100=c²

10=c

Aliya works as a bar tender in a very renowned restaurant. If he works for 12 days and earns $ 1296.84.How much does he earn per day.

Answers

Step-by-step explanation:

1296.84 / 12 = $108.07 earned per day

Suppose a class has 14 redheads, 8 brunettes, and 6 blondes. What is ratio of blondes to total students? Write your answer in simplest form

Answers

Answer:

3:14

Step-by-step explanation:

The total number of students in the class is 28 and 6 of them are blondes so it would be 6:28 but since its asking for the simplest form it should be 3:14

(Divide both numbers by 2)

Hope this helps!!

if n=11 what is p pls help me

Answers

p=49 1/2 that's the answer i got you lil guy

One bunch of seedless black grapes cost $2. How many bunches can you buy for $20?

Answers

Answer:

If one bunch is two dollars even, then you could buy 10 bunches.

Step-by-step explanation:

20 divided by 2 = 10

So, you could buy ten bunches of grapes.

Answer:

the answer is 10 because 2 goes into 20 10 times.

Step-by-step explanation:

PLZ HELP
How would you graph the solution set of x - 2 > 5?

Open circle on 7 and shaded to the right.
Closed circle on 7 and shaded to the right.
Open circle on 7 and shaded to the left.
Closed circle on 7 and shaded to the left.

Answers

Answer:

look up demos, it works like a charm everytime!

Step-by-step explanation:

hope this helps :)

If similar, state if it’s AA similarity, SSS or SAS similarity

Answers

Answer:

they are not similar

Step-by-step explanation:

MN/VW=16/22=8/11

LN/UW=20/28=5/7

LM/UV=25/35=5/7

there is no information about the angles, you apply SSS but in this situation not all sides are proportional

HELP! Jessica edits the school yearbook. She says the the dimensions of the student photo are proportional to the dimensions of the small photo, medium photo, and large photo found throughout the yearbook. Is she correct? Explain your reasoning.

Answers

Answer:

no

Step-by-step explanation:

The ratio of width to height for the different photos are ...

 student: 1 : 3/2 = (2/2):(3/2) = 2 : 3

 small: 2 : 5/2 = (4/2):(5/2) = 4 : 5

 medium: 4 : 5 . . . (same as small)

 large: 8 : 10 = 4 : 5 . . . (same as small and medium)

The small, medium, and large photos all have proportional dimensions, but those are not proportional to the dimensions of the student photo.

S/O:  sqdancefan

Please answer this ASAP
Solve for x.
2x−4=6−3x

A: x= -0.4
B: x= 2
C: x= -2
D: x= 0.4

Answers

Answer:

x = 2

Step-by-step explanation:

First, let's write out our equation:

[tex]2x-4=6-3x[/tex]

I want to isolate x on one side, so first, I'll add 4 to both sides to remove the -4 from next to 2x:

[tex]2x-4+4=6-3x+4\\2x=-3x + 10[/tex]

Notice that I combined like terms with the -4 and 4 (to get 0) and the 6 and 4 on the right side (to get 10). Next, I'll add 3x to both sides:

[tex]2x + 3x = -3x + 3x + 10[/tex]

And then I'll add like terms:

[tex]5x=10[/tex]

Now, all we have to do is divide both sides by 5:

[tex]5x/5=10/5\\x=2[/tex]

And there's our answer. Hopefully that's helpful! :)

Laura just became a personal trainer and is finalizing her pricing plans. One plan is to charge
$55 for the initial consultation and then $41 per session. Another plan is to charge $50 for the
consultation and $46 per session. Laura realizes that the two plans have the same cost for a
certain number of sessions. How many sessions is that? What is that cost?

Answers

Using algebraic equations:

the number of sessions that will give same cost for both plans is: 1

the cost is: $96

Translate the situation into algebraic equations.

Let y = Total cost x = number of sessions

Equation for total cost of the first plan:

y = 41x + 55

Equation for the total cost of the second plan:

y = 46x + 50

To find the number of sessions that would yield same cost for both plans, make both equations equal to each other and solve for x.

41x + 55 = 46x + 50

Combine like terms together

41x - 46x = - 55 + 50

-5x = -5

x = 1

For a session, both plans will yield the same cost.

The cost 1 session will yield for both:

41x + 55 = 46x + 50

Plug in the value of x

41(1) + 55 = 46(1) + 50

96 = 96

Therefore, using algebraic equations:

the number of sessions that will give same cost for both plans is: 1

the cost is: $96

Learn more about algebraic equations on:

https://brainly.com/question/10612698

-8.5x +0.43 = -2.97
The solution is x =

Answers

Answer:

x=0.4

Step-by-step explanation:

ubtract

0.43

from both sides of the equation.

8.5

x

=

2.97

0.43

Subtract

0.43

from

2.97

.

8.5

x

=

3.4

Divide each term in

8.5

x

=

3.4

by

8.5

.

8.5

x

8.5

=

3.4

8.5

Divide

3.4

by

8.5

.

x

=

0.4

solve the following quadratic equation
2×2-x=21​

Answers

[tex]2x^2-x=21\\\\\implies 2x^2 -x -21 =0\\\\\text{Apply quadratic formula},~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\\text{In this case,}~ a =2 , b =-1, c =-21}\\\\\implies x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4\cdot 2 \cdot (-21)}}{2(2)}\\\\\implies x =\dfrac{1 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{ 1 \pm 13}4\\\\\\\text{Hence,}\\\\x =\dfrac{1+13}4 = \dfrac{14}4 = \dfrac 72\\\\\text{or}\\\\x =\dfrac{1-13}4 = -\dfrac{12}4 =-3[/tex]

Answer:

x1=7/4, x2=-3

Step-by-step explanation:

[tex]2x^{2} - x - 21 = 0\\x1,2 = (1±\sqrt{-168-1})/4\\x1,2 = (1±13)/4\\x1 = 14/4 -> x1 = 7/2\\x2 = -12/4 -> x2 = -3[/tex]

Which of the following is a radical equation?

x^/3 = 13
x+√3 = 13
^/x+3 = 13
X+3=^/13

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Correct choice is ~

[tex] \sf \: x + \sqrt{3} = 13[/tex]

i need help on all of this please

Answers

Answer:

Step-by-step explanation: the answer is 69-123

wahts the gcf and lcm of 18 and 30

Answers

Hey there. So first, to work out the LCM, we need to find the multiples of 18 and 30. We’ll start with 18, and we’ll stop at a reasonable number.

18, 36, 54, 72, 90.
30, 60, 90, 120.

Already we notice that 90 is the smallest multiple that is evident in both numbers. So 90 is your LCM.

Now for the GCF, we want to begin by creating a factor tree for 18 and 30. I found one on the internet so it’s easier to view.

When finding the GCF, you want to circle all the prime numbers you have, so in this case, for 18, we have 2 x 3 x 3. They’re all prime.

For 30, we have 2 x 3 x 5. They’re all prime.

If we now circle the numbers that are common in both so we have (2) in 18 and 30, and we have (3) in 18 and 30. We are left with 5 and 3, ignore them for now. Because we managed to circle 2 and 3, if we multiply them together, we get 6. So the GCF of 18 and 30 is 6. And the LCM of 18 and 30 is 90.

Sorry if this sounds confusing, i tried my best.

10.) *
12
Sam ate 2/8 a pizza for dinner.
Then he ate 1/4 of the original pizza for lunch the next day. How much pizza is left
pizza for lunch the next day. How
much pizza is left

Answers

Answer:

4/8 (2/4)

Step-by-step explanation:

1/4 is 2/8

He ate 2/8 pizza for dinner

Then he ate 1/4 (2/8) the next day

So he has 4/8 (2/4) pizza left

In a scale drawing, 3 millimeters represents 17 meters. Exactly how many millimeters represents 55 meters?

Answers

Answer: Approximately 9.706 mm

Work Shown:

(3 mm)/(17 m) = (x mm)/(55 m)

3/17 = x/55

3*55 = 17*x

165 = 17x

17x = 165

x = 165/17

x = 9.706 approximately

Side note: I used the cross multiplication rule for the third step.

Any help wit this one

Answers

Answer:

22.5 centimetres per second.

Step-by-step explanation:

To get the awnser for this you do the highest length of centimetre which is 90 divided by how many seconds it took to get to 90 centimetres, then we do 90÷4 which equals to 22.5, so the awnser is 22.5 centimetres per second. Hope this helps.

Find the slope for (3,0) and (4,1)

Answers

Answer:

The slope is 1

Step-by-step explanation:

the formula for finding slope is : y2-y1/x2-x1

2. Subsitute: (1)-(0)/(4)-(3) = 1/1 = 1

Therefore, the slope is 1.

-16.51 divided by 2.54 I need answers

Answers

Answer:

Answer: -13\2

Step-by-step explanation:

-16.51

---------

2.54

-16.51

--------

2.54

1651

------

254

-13

-----

2

Answer: -13

----

2

original price of a cd is 12.50. what is the price with a discount of 39%

Answers

Answer:

original price of a cd is 12.50. what is the price with a discount of 39%

Step-by-step explanation:

if a baseball team has lost 50 matches out of the 120 matches played in total, find out their winning percentage?​

Answers

To find the amount of matches won:

120 – 50 = 70

So the baseball team has won 70 matches.

To convert this to a percentage:

(Matches won / Total matches ) x 100

(70/120) x 100 = 58.3% (rounded to 1 decimal place)

The percentage is the indicating hundredth thus the percentage of winning is 58.33%.

What is the percentage?

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

As per the given,

Total matches = 120

Number of lost matches = 50

Number of winning match = 120 - 50 = 70

Winning percentage = (70/120) x 100 = 58.33%

Hence "The percentage is the indicating hundredth thus the percentage of winning is 58.33%".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

can someone answer my question plz


Graph the line that represents a proportional relationship between d and t with the property that an increase of 3 units in t corresponds to an increase of 8 units in d. What is the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will correspond to a change of how many units in d?) The unit rate of change is Graph the relationship.​ The unit rate of change is _____​

Answers

Answer:

Draw a straight line through these two points (0, 0) and (1, 3).

Step-by-step explanation:

"Proportional relationship" implies line or curve that goes through the origin; there is no "y-intercept" in this case.  

Plot a dot at (0, 0).  Next, move your pencil point 1 unit to the right (you'll end up at (1, 0), and then move it from there up to (1, 3).  Draw a straight line through these two points (0, 0) and (1, 3).

Other Questions
A gym has yoga classes. Each class has 13 students. If there are c classes, write an equation to represent the total number of students s taking yoga. Marie bought 1/2 gallon of milk, which she finished after 6 days, If she drank the same amount of milk each day, how many gallons in a day did she drink? PLEASE HELP!!! TRIGThe three solutions of the equation f(x)=0 are 0, 180, and 360. Therefore, the three solutions of the equation f(x-30)=0 are: Mike and Andy are each reading the same book. Mike read 2/4 of the book on Tuesday and 1/3 of the book on Wednesday. Andy read 1/2of the book on Tuesday and 1/5of the book on Wednesday. Andy says that altogether he read more of the book on Tuesday and Wednesday than Mike. Is Andy correct? Under what conditions do you expect hydrogen gas to deviate from ideal gas behavior? Explain your answer. Look at this painting. It belongs to which artistic movement? What is the range of possible sizes for side x? Hannah completed 40 problems in 32 minutes.Put in a unit ratio Define a equilateral triangle How did technology change America during the Jacksonian period? 141x + 50 + 4x = 340What is x? A 6 character computer password is made up of 4 numbers followed by 2 letters. How many different passwords are possible? a. 810,000 b. 3,276,000 c. 6,500,000 d. 6,760,000 Please select the best answer from the choices provided A B C D. After I slept my tinnitus went away what happened? At the beginning of year 1, Sam invests $700 at an annual compound interestrate of 5%. He makes no deposits to or withdrawals from the account.Which explicit formula can be used to find the account'sbeginning of year 4? What is the balance? Question 1: Name the three locations where most immigrants first stepped onto American soil and give one fact for each. Question 2: Briefly describe what the experience was like for a typical immigrant family arriving at Ellis Island. Question 3: How was the experience for Asian immigrants at Angel Island different than of European immigrants at Ellis Island? Question 4: As you read the last two paragraphs of the assignment. complete the following to show how immigrant groups were held together and preserved their cultural traditions. One has been done for you in the chart ->> Look at the picture for this chart. Question 5: How did immigration change the United States? ( Will Mark Brainliest if answered correctly). Gordon types 2,584 words in 38 minutes. in what part of the body does most chemical digestion take place? Determine if the graph represents a linear function, quadratic function, or exponential function.Group of answer choicesExponentialLinearQuadratic As promised I I will be doing 100 points now please do NOT do anything that is not pertaining to the picture factorize 4y^2 - 2^2?