a farmer has sheep and hen .the sheep and hen together have 100heads and 356 legs .how many sheep and hens does the farmer have?​

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

Determine if two triangles are congruent. If they are, state how you know.

A: SSS
B: SAS
C: HL
D: AAS

help me ASAP please!:(

Answers

the answer should be A. SSS

because the two triangles show that all three sides are congruent.

HELP WILL GIVE BRAINLIEST
The two lines represent the amount of water, over time, in two tanks that are the same size. Which container is filling more quickly?

Answers

Answer:

Tank A is filling faster

Step-by-step explanation:

On the graph, You can see that the line of tank A is rising far faster than tank B.

Answer:

Tank A is filling faster because it's a longer line.

$4.00 + $2.00=
answer

Answers

Uhh $6.00 is your answer have a good day!

To conduct an experiment, researches randomly select six students from a class of 20. How many different groups of six students are possible?

Answers

Answer:

3.33

Step-by-step explanation:

20 divided by 6 equals 3.33333333333

Round that you get 3.33


Identify pair of adjacent angles and vertically opposite angles from the
following figures.

Answers

Answer:

adjacent angle pair is ∠AOD and ∠DOB    (could be any two that are next to each other)

vertically opposite angles are ∠AOD and ∠COB (also could be ∠AOC and ∠DOB

Step-by-step explanation:

Please help ASAP!!! Thanks

Answers

Answer:B.√13

Step-by-step explanation:

Hope this helps!

a=p2+q2

2=62+42

2≈3.60555

help me please! I’ll give y’all points

Answers

Answer:

11

Step-by-step explanation:

Answer:

Y = 11

Step-by-step explanation:

I think we are using the order of PEMDAS. We replace the x with 3. If we simplify this expression this is just 3 to the power of 2 multiplied by 2 then subtracted by 7. So 3^2 = 9 then 9 x 2 = 18. Then 18 minus 7 = 11.

A 10 ft tall tent standing next to a woman
casts a 16 ft shadow. If the woman is 5 ft
tall, then how long is her shadow?

Answers

Answer:

8 ft

Step-by-step explanation:

Set up a proportion: 10/16=5/x

Solve for x: 80=10x

x=8

estimate the product then find the product​

Answers

Answer:

1 5/6 = 11/6

7 1/3 = 22/3

11/6 + 22/3 = 11/6 + 44/6 = 55/6 ≈ 9.16

1 5/6 = 11/6

11/6 - 1/10

55/30 - 3/30 = 52/30 ≈ 1.73

9.16 x 1.73 = 15.8468

So, 15.8468 is the result.

I hope this is helpful. :)

Please, do me Brainliest!

What is the interest rate if…

Principal = $1,250

Time = 4 years

Interest = $285.

Answers

The interest rate is 5.7%

FIND THE 2 MISSING Y VALUES (brainliest)

Answers

Answer:

first blank 8, 2nd blank 12

Step-by-step explanation:

plug X into the equation to find y

y = -4(-2) = 8

y = -4(3) = -12

What is
2 x 9 x 9 x 9 x 2 x 9
In index notation

Answers

Answer:729 with a power of 36

Step-by-step explanation:index notation is basically a power a power is a number such as 2x9x9x9x2x9=26244 And 729 with a power of 36 is adding 729 ,36 times.or you can just multiply 729 times 36 the easy way. Hope this helped and can I get brainliest plss.

Question 5
6 pts
The lengths of the sides of a triangle are given. Determine if the side lengths create a right
triangle.
a) 3, 8, 10
b) 9, 40, 41
c) 12, 20, 16

Answers

Answer:

C is correct

Step-by-step explanation: c is correct great job

You take a plane to NYC, which is 750 miles away. The trip takes about 180 minutes. At what speed did the plane fly in miles per hour?

Answers

Answer:

250 mph

Step-by-step explanation:

d = rt

180 min = 3 hr.

750 = 3r

r = 250 mph

Question 2 of 5
A right cone has a slant height of 17 feet, and the diameter of the base is 16
feet. What is the height, h, of the cone?
h
17 ft
16 ft

Answers

Answer:

15 ft

Step-by-step explanation:

A right triangle is formed by h, the radius and the slant height

Given diameter = 16, then radius = 16 ÷ 2 = 8

Using Pythagoras' identity in the right triangle with legs h and 8 and hypotenuse the slant height, then

h² + 8² = 17²

h² + 64 = 289 ( subtract 64 from both sides )

h² = 225 ( take the square root of both sides )

h = [tex]\sqrt{225}[/tex] = 15

Answer:

Step-by-step explanation:

When does the equation of a line in slope-intercept form look just like its
equation in point-slope form?

Answers

Answer:

-y ,y = m (-x, x)

Step-by-step explanation:

What is the y-intercept of line x = -8?

Answers

Answer:

There is no y-intercept.

Step-by-step explanation:

x = -8 has an undefined slope which means that it will never have a y-intercept unless it is x = 0.

I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

IF YOU SEND ONE MORE LINK AGAIN I WILL REPORT YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

h(x) =-(x+5)^3

Step-by-step explanation:

With instructions too please

Answers

Answer on pic above

Hope this helps

Please help I’ll give brainliest if it’s correct !! :)))

Answers

Answer:

A textbook weighs about 1 pound and is about 1 foot long

A car weighs about 1 ton and is about 5 yards long

A mosquito weighs about 2 mg and is about 1 inch long

Step-by-step explanation:

#commonsense lol

Find the mean absolute deviation for this data set.
2, 3, 1, 5, 4

Answers

The mean absolute deviation of the given data set is 1.2.

How to calculate the mean absolute deviation of a  data set?

Mean absolute deviation (MAD) is a measure of the average absolute distance between each data value and the mean of a data set. The formula for MAD is:

MAD =∑|x-m| / n

∑ is known as Sigma and means to sum up

| | are vertical bars that mean absolute value

x is each value

m is the mean

n is the total number of data points in your data set

Given: 2, 3, 1, 5, 4

n = 5

m = 2 + 3 + 1 + 5 + 4 = 15/5 = 3

∑|x-m| = |2-3| + |3-3| + |1-3| + |5-3| + |4-3|  = 6

MAD =∑|x-m|/n = 6/5 = 1.2

Therefore, the mean absolute deviation of the set data is 1.2

Learn more about mean absolute deviation on:

brainly.com/question/16586775

#SPJ1

PLEASE HELP ASAP 25 POINTS GOOD ANSWERS ONLY!

bob has 8 pieces of square index cards that each measures 8 inches per side. Using a pair of

scissors, he cuts each piece in half (so the resulting size is 8” x 4”) and then places all the

resulting card pieces in a new stack. If he repeats this procedure 4 more times, how many

pieces of card stock will he have and what will be the measure of each piece? (Note: All

cuts will be made along the longer edge of the piece if the piece of index card is not square.)

Answers

Answer:

128

Step-by-step explanation:

Type the correct answer in the box.
log +log -10823= log

Answers

the correct answer to the equation in the picture is log 7

Answer:

log 7

Step-by-step explanation:

Using the rules of logarithms

log x + log y ⇔ log (xy )

log x - log y ⇔ log ([tex]\frac{x}{y}[/tex] )

Given

log[tex]\frac{14}{3}[/tex] + log[tex]\frac{11}{5}[/tex] - log[tex]\frac{22}{15}[/tex]

= log ([tex]\frac{14}{3}[/tex] × [tex]\frac{11}{5}[/tex] ) - log[tex]\frac{22}{15}[/tex]

= log ([tex]\frac{154}{15}[/tex] ) - log[tex]\frac{22}{15}[/tex]

= log ( [tex]\frac{154}{15}[/tex] ÷ [tex]\frac{22}{15}[/tex] )

= log ([tex]\frac{154}{15}[/tex] × [tex]\frac{15}{22}[/tex] )

= log[tex]\frac{154}{22}[/tex]

= log 7

how do you write 7 a mixed number in the simplest form

Answers

What does this even mean?

Henry is making a recipe for biscuits.A recipe calls for 5/10 kilogram flour and 9/10 kilogram sugar.If henry measures correctly and combines the two amounts,how much flour and sugar will he have. Show your work

Answers

Answer: [tex]\dfrac{14}{10}\ kg[/tex]

Step-by-step explanation:

Given

Henry has [tex]\frac{5}{10}\ kg[/tex] of flour and [tex]\frac{9}{10}\ kg[/tex] of sugar

If henry added the two amounts, the net weight of the two is

[tex]\Rightarrow W_{net}=\dfrac{5}{10}+\dfrac{9}{10}\\\\\Rightarrow W_{net}=\dfrac{5+9}{10}=\dfrac{14}{10}\ kg\ \text{or}\ \dfrac{7}{5}\ kg[/tex]

Dr. Porterfield a financial counselor guru informed Mr. Halpayne he needs $2,000,000 saved if he intends to retire with his wives (7 of them) and not be homeless in future. Calculate the present value Mr. Halpayne needs if he intends to retire in 20 years provided he invests in a financial plan that pays 5% interest compunded monthly.

Answers

9514 1404 393

Answer:

  $737,289

Step-by-step explanation:

The future value of an investment P invested at rate r per year compounded monthly for t years is ...

  FV = P(1 +r/12)^(12·t)

We want to find P for the given future value, so we can solve for that:

  P = FV/(1 +r/12)^(12·t) = FV(1 +r/12)^(-12·t)

  P = $2,000,000(1 +.05/12)^(-240) = $737,289

Mr. Halpayne needs a present value of $737,289 to support his retirement.

help please!!!!!!!!!!!!

Answers

Answer:22.5

Step-by-step explanation:

I need help ASAP with this please help

Answers

Answer:11/18, or  11 to 18.

ANSWER ASAP!! i’ll give brainliest!!
Oy=x-3
Oy=-x+3
Oy=-x-3
Ov=x+3

Answers

Answer:

3rd one thank you let me know if u got it rigbt

Mrs. Torres is mailing a package that weighs 4.5 pounds. The post office charges by the ounce to mail a package. How much does the package weigh in ounces?

Answers

72 ounces is the answer
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