A farm raises cows and chickens. The farmer has a total of 46 animals. One day he counts the legs of all his animals and realizes he has a total of 156 legs. How many chickens does the farmer have?

Answers

Answer 1

Answer:

32 chickens

Step-by-step explanation:

Let

The number of cows = x

The number of chickens = y

A farm raises cows and chickens. The farmer has a total of 46 animals.

x + y= 46..... Equation 1

x = 46 - y

Number of legs of chickens = 2

Number of legs of cows = 4

One day he counts the legs of all his animals and realizes he has a total of 156 legs.

Hence:

2x + 4y = 156.... Equation 2

We substitute 46 - y for x in Equation 2

2(46 - y) + 4y = 156

92 - 2y + 4y = 156

- 2y + 4y = 156 - 92

2y = 64

y = 64/2

y = 32

Solving for x

x = 46 - y

x = 46 - 32

x = 14

The number of cows = x = 14 cows

The number of chickens = y = 32 chickens

Therefore, the number of chickens that the farmer has is 32 chickens


Related Questions

6 cm
The height of the cuboid is 6 cm.
The volume of the cuboid is 90 cm'.
What is the area of the shaded face?​

Answers

Answer:

[tex]A=15\ cm^2[/tex]

Step-by-step explanation:

Given that,

The height of the cuboid = 6 cm

The volume of the cuboid = 90 cm²

We need to find the area of the shaded face.

The volume of a cuboid is given by the formula as follows :

[tex]V=A\times h[/tex]

A is area of the shaded face

Putting all the values,

[tex]A=\dfrac{V}{h}\\\\A=\dfrac{90}{6}\\\\A=15\ cm^2[/tex]

So, the area of the shaded face is [tex]15\ cm^2[/tex].

Help ASAP I have a 54 in math and the rest of my classes I have a 100 pls help

Answers

Answer:

The diagonal stripes would require a total of 34 feet of tape.

Step-by-step explanation:

You have six hypotenuses, and you can use the Pythagorean theorem to get their lengths.

The total length of the two big diagonals then is:

2×√(36 + 36)

and the total length of the four small diagonals is

4 ×√(9 + 9)

so the total length is:

2√72 + 4√18

= 12√2 + 12√2

= 24√2

≈ 33.9

Solve 24≤−6t.

the solution is __

Answers

Answer:

t ≤ − 4

Step-by-step explanation:

Answer: t ≤ -4

Step-by-step explanation:

rearrange the problem 24-(-6*t)≤0  Pull out like factors :24 + 6t  =   6 • (t + 4)

Divide both sides by 6    Subtract  4  from both sides t ≤ -4

         

URGENT PLEASE HELP!!!!!!!!!!!!!!

Answers

Answer: The pics wont lode

Step-by-step explanation:

Which of the following fractions makes the number sentence true?
2/7 * _ = 2/7

A. 2/5

B. 5/2

C. 5/5

D. 4/4

Answers

C hope this works well

12y - 4 what is answer

Answers

Answer: 4(3y−1)

Step-by-step explanation:

Answer:

4(3y - 1)

Step-by-step explanation:

To factor this find the greatest common factor of 12y and -4, which would just be 4.

Then, you have 4(3y - 1)

yoko is saving money to buy a bike that costs 125$.She has 60 and will add an additional 5 each week.In how many weeks will she have enough to buy the bikw

Answers

Answer:

Step-by-step explanation:

brainliest

1.
Out of 36 total candies in a jar, and 27 are red. What % of the candies are red?
A. 10% B. 25% C. 75% D. 60%

PLZZZ HELP ASAP

Answers

Answer:

C: 75%

Step-by-step explanation:

27 out of 36 are red.  You find the percentage by diving 27 by 36 and then moving the decimal place over to the right 2 spaces.  27 / 36 = .75

Brady and his sister each orderd chicken nuggetts and a drink from Chick-fil-A. Each contanier of chicken nuggetts costs $3.75 and each drink cost $1.85. Brady leaves a 20% tip on the counter. What was the total cost of the meals including the tip?

Answers

2(3.75) + 2(1.85) = 11.2
11.2 * . 2 = 1.12
11.2 + 1.12 = 12.34
hope this helps!

write the equation of the line passing through points (2,-2) and (1,0) in the slope intercept form​

Answers

Answer:

y=-2x+2

Step-by-step explanation:

Just follow the slope-intercept form formula-

Formula: y= mx+b

Key:

y = y-coordinate

m = slope

x = x-coordinate

b = y-intercept

Feel free to ask if you have any questions, hope this helps!(:

What is the area of major sector DFE?

Answers

Answer:

B

Step-by-step explanation:

p(x) = -2x – 2; Find p(-3)

Answers

p(-3)= -2(-3) -2
p(-3)= 6-2
p(-3)= 4
The answer is p(3)=4

simplify (18+t)(-3)+9

Answers

Answer:

-3t-45

Step-by-step explanation:

(18+t)(-3)+9

18x-3-3t+9

-54-3t+9

-3t-54+9

-3t-45

Anthony and Jesus decide that they want to buy a Playstation 5 together. They each have $225. Ray has a Gamestop coupon that gives him 10% off his order, so they decide to go to Gamestop. The price of the Playstation is $499.00. If tax is 7%, will they be able to buy the console? If not, how much money will they have to borrow from their parents?

Answers

Answer:

Yes, they will have enough.

Step-by-step explanation:

1. $499.00 + 7% = $533.93

2. $225 x 2 = $550

3. $550 - $533.93 = $16.07 left to spend

​What is the result when​ ​2x​ 2 ​ + 3x - 1 is subtracted from 4x​ 2​+ 7x - 3?

Answers

Step-by-step explanation:

[tex] \tt{4 {x}^{2} + 7x - 3 - (2 {x}^{2} + 3x - 1)}[/tex]

While subtracting , the sign of each and every term of second expression changes.

⤏ [tex] \tt{4 {x}^{2} + 7x - 3 - 2 {x}^{2} - 3x + 1}[/tex]

Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.

⤏ [tex] \tt{4 {x}^{2} - 2 {x}^{2} + 7x - 3x - 3 + 1}[/tex]

⤏ [tex] \tt{2 {x}^{2} + 4x - 2}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{ \: 2 {x}^{2} + 4x - 2}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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What is the total number of seconds it takes for the teacher to make 1 copy 2 copies 3 copies by how many seonds does the total time increse for each copy

Answers

Answer:

For 1 copy it takes 5 seconds, for 2 copy it takes 7 seconds, and for 3 copy it takes 9 seconds.

For each copy, it takes 2 seconds more.

Step-by-step explanation:

A teacher is making multiple copies of a 1-page homework assignment. The time it takes her in seconds is 2 times the number of copies she makes plus 3. What is the total number of seconds it takes for the teacher to make 1 copy? 2 copies? 3 copies? By how many seconds does the total time increase for each copy?

Let the number of copies represented by x and y is the time taken.

The time It takes her in seconds is 2 times the number of copies she makes plus 3.

So the required equation is [tex]y=2x+3[/tex].

To calculate the time taken for the first copy put x=1 in the above equation.

[tex]y=2(1)+3[/tex]

[tex]y=5[/tex]

To calculate the time taken for the first copy put x=2 in the above equation.

[tex]y=2(2)+3[/tex]

[tex]y=7[/tex]

To calculate the time taken for the first copy put x=3 in the above equation.

[tex]y=2(3)+3[/tex]

[tex]y=9[/tex]

Hence, For each copy, it takes 2 seconds more.

Choose the most accurate statement based on the graph shown.
Favorite Music
Classical
Country
Jazz

Answers

Answer:

the graph is misleading because it uses 3-dimensional bars

The graph is misleading because it uses 3-dimensional bars.
(This is what I think, so...I’m not sure if it is correct or not)

What is 2 times 2? It would be really helpful.

Answers

Answer:

2*2=4

Step-by-step explanation:

Need help ASAP, you will get BRAINLIST.

Answers

From what it looks like I don’t think it’s perpendicular because the points are not even from what it looks like I’m not the best in math
It’s because one side is longer than the other so it can’t be perpendicular that easy

In 7th grade, the ratio of boys to girls is 6 to 7. If there are 143 students in 7th grade, how many are girls? Do NOT write a label. Just write the number.

Answers

Answer:

123 if your going to the nearest whole number

Step-by-step explanation:

Since

6 : 7 = X : 143

Then we know

6/7 = X/143

Multiplying both sides by 143 cancels on the right

143 × (6/7) = (X/143) × 143

143 × (6/7) = X

Then solving for X

X = 143 × (6/7)

X = 122.57142857143

Therefore

6 : 7 = 122.57142857143 : 143

Jennifer's bill for lunch was $15.00
If Jennifer left a 20% tip, which proportion would BEST represent how to find how much tip she should leave?

Answers

Answer:

the answer is $3

Step-by-step explanation:

I just looked it up lol

ITS $3

SOLOUTION: I LOOKED IT UP AHSHSHDHJDJCI

Can a binomial be multiplied by a monomial such that the product is a monomial? If so, give an example.(1 point)

Yes. 0(2x+y)=0

No. A binomial can never be multiplied by a monomial such that the product is a monomial.

Yes. 1(2x+y)=2x+y

Yes. 2(2x+y)=4x+2y

Answers

No, you can’t multiply a monomial and binomial together and have a product of a monomial.

What is (2 × 0.1) + (3 × 0.01) + (6 × 0.001) in word form?

Answers

Answer:

two hundred thirty-six thousandths

Step-by-step explanation:

pleaseeeee helppppppp

Answers

Answer:

This is too confusing

Step-by-step explanation:

I don't know how to answer this properly sorry

11/ Higher Order Thinking Describe a real situation that would fit the
relationship described.
a. A strong, positive association
b. A strong, negative association
amount of money

Answers

A is my best guess to this question


A macaroni and cheese dish had 250 g of macaroni and 45 g of cheese.
What percent of the dish was cheese?

Answers

18% of the dish was cheese

Answer:

15.25%

Step-by-step explanation:

total 45+250= 295

so percentage (45/295)×100

= 15.25%

Brookfield Furniture needs to ship 119 couches across the country. If they can fit 9 couches in each truck, how many couches will be in the partially full truck?

Answers

Answer:

2

Step-by-step explanation:

to find the number of couches in the partially filled truck, divide 119 by 9

119/9 = 13.2222

so 13 cars will contain 9 couches packed fully

number of trucks partially filled = 119 - (13 x 9) = 2

Pls help and show workings due ASAP!

Answers

Answer:

It would be D as they are not congruent as they are to different angles

Step-by-step explanation:

I think the answer is D

What is the solution to this equation?
3x + 8 = 2x - 8

Answers

Step-by-step explanation:

[tex] \tt{3x + 8 = 2x - 8}[/tex]

We want to get all the constants on the right hand side of the equation. So , Add 8 on both sides of the equation.

⤏ [tex] \tt{3x + 8 + 8= 2x - 8 + 8}[/tex]

⤏ [tex] \tt{3x + 16 = 2x}[/tex]

Move 2x to left hand side and change it's sign. Similarly , Move 16 to right hand side and change it's sign :

⤏ [tex] \tt{3x - 2x = - 16}[/tex]

Since , 3x and 2x are like terms , they can be added or subtracted. Subtract 2x from 3x :

⤏ [tex] \sf{x = - 16}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{x = - 16}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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The graph shown represents the distance the Harrison family drove on their vacation. What does the unit rate represent?

Answers

Answer:answer is b

Step-by-step explanation:it’s miles per hour not hours per mile

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