There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Write a system of equations to determine how many horses and chickens are in the barn.

Answers

Answer 1

Answer:

x=8, y=7

Step-by-step explanation:

Lets keep x as the number of chickens and y as the number of horses.

Since each horse has 4 legs and each chicken has 2 legs we get our first equation to be

2x+4y=44

This is because we need to multiply the number of chickens times 2 to get the number of chicken legs, and same for the horses except 4 because they have 4 legs.

the second equation is

x+y=15

next we can use the substitution method to solve.

First we solve for x

x+y=15

x=15-y

We can substitute this into the first equation

2x+4y=44

2(15-y)+4y=44

30-2y+4y=44

30+2y=44

2y=14

y=7

Now we can substitute this into the original equation, x+y=15 and get the equation x+7=15, x=8

The final answer is x=8, y=7


Related Questions

244×6=4×....
Yukarıdaki matematiksel ifade de eşitliğin sağlanabilmesi için noktalı yere hangi sayı gelmelidir ? acil​

Answers

Answer:

a)366

Step-by-step explanation:

244×6=1464÷4=366

Write
3
5
as a percent.

Answers

Answer:

60%

Step-by-step explanation:

To express a fraction as a percent , multiply it by 100%, that is

[tex]\frac{3}{5}[/tex] = [tex]\frac{3}{5}[/tex] × 100% ( divide 5 and 100 by 5 )

  = 3 × 20% = 60%

If need any help editing an essay or something you can not do on here heres my number
(318) 891-1439
Send it to me I will be glad to help

Answers

Answer:

on what's app ?

Step-by-step explanation:

or telegram ?

I need to know this asap pleasee

Answers

Answer:

$45

Step-by-step explanation:

Let the regular price be x

according to the question

the equation is

x×85/100=38.25

x×85/100=38.25

x=38.25×100/85

x=38.25×20/17

x=45

Find the value of x

Look at the picture^^

Answer with work please I need help???

Answers

In right angled triangle

Hypotenuse ² = perpendicular² + base²

Base = 22

Perpendicular = 27

Hypotenuse = x

[tex] \implies \: {x}^{2} = {27}^{2} + {22}^{2} [/tex]

Square of 27 and 22 are 729 and 484 respectively.

[tex] \implies \: x = 729 + 484[/tex]

[tex] \implies \: x {}^{2} = 1,213[/tex]

[tex] \implies \: x = 34.82 \: (approx)[/tex]

what is the tangent of the triangle?

Answers

Answer:

The tangent of an angle is the trigonometric ratio between the adjacent side and the opposite side of a right triangle containing that angle.

Step-by-step explanation:

please hurry


Simplify: 14-30/ 2 (- 4)

Answers

Answer:

74

Step-by-step explanation:

PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. The value of the given expression (14-30)/2(-4) when simplified is 2.

What is PEMDAS?

PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.

The given expression can be simplified as shown below.

(14 - 30)/ 2 (- 4)

Using the rule of PEMDAS, solving parenthesis first,

= (14-30) / (-8)

= (-16)/ (-8)

Solving the division,

= 2

Hence, The value of the given expression (14-30)/2(-4) when simplified is 2.

Learn more about PEMDAS here:

https://brainly.com/question/36185

#SPJ2

Alice and Kevin are walking the track. Alice completes a lap in 3 minutes; Kevin completes a lap in 5 minutes. How much time will pass until they meet at the starting line?
A.
3 minutes
B.
5 minutes
C.
15 minutes
D.
30 minutes

Answers

C. The answer is definitely C

Answer:

c

Step-by-step explanation:

took the test


4.22_4.220
a) <
b) >
c) =

Answers

Answer:

=

Step-by-step explanation:

there both the same number

I think it would be the same number

2x+5-x+10=1x-5+3x what does x=

Answers

The answer for x=20/3

What are the explicit and recursive formulas for the sequence 540, 180, 60, 20, ...?

Answers

The explicit formula for the sequence,

aₙ = 540(1/3)ⁿ⁻¹.

And the recursive formula for the sequence,

aₙ = aₙ₋₁(1/3).

What is geometric sequence?

A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.

Given:

540, 180, 60, 20, ...

The sequence is a geometric sequence.

First, we find the common ratio.

180/540 = 1/3

60/180 = 1/3

20/60 = 1/3

Hence, 1/3 is the common ratio

r = 1/3

So,

the explicit formula for the sequence,

aₙ = 540(1/3)ⁿ⁻¹.

And the recursive formula for the sequence,

aₙ = aₙ₋₁(1/3)

Therefore, the formulae are given above.

To learn more about the geometric sequence;

https://brainly.com/question/11266123

#SPJ2

Work out the circumference of this circle.
Give your answer in terms of t.
en
6 mm

Answers

Circumference of the circle = 2 pie r

Therefore circumference = 2 × 22/7 × 6

So your circumference = 44pie mm

help me plz this is my last chance to get it correct (B is the wrong answer btw)

Answers

Answer: I would think D.

Step-by-step explanation: I'm worried for you, I hope this is correct.

Solve the following 6-2x=3

Answers

Step-by-step explanation:

6 - 2x = 3

2x = 6 - 3

2x = 3

x = 3/ 2

Hope it will help :)

6-2x=3
-2x+6=3
-2x+6-6=3-6
-2x=-3
-2x/-2=-3/-2
x=3/2

In triangle ABC, DEAC. If AD=12, BD=3, and CE=10, find BE.

Answers

Answer:

BE = 2.5

Step-by-step explanation:

Remark

Use triangles ABC and DEB.

Formula

AB/DB = BC / BE

Givens

AB = 15BD = 3BC = 10 + xBE = x

Solution

15/3 = (10 + x)/x              Cross multiply

15x = 3(10 + x)                Remove the brackets

15x = 30 + 3x                 Subtract 3x from both sides.

15x - 3x = 30                  Combine

12x = 30                         Divide by 12

x = 30/12

x = 2.5

what is the estimated product for 2.34 X 16?

Answers

Answer:

37.44

Step-by-step explanation:

Hav a great day :3

What is 10 times as much is 0.009

Answers

Sorry I don’t really know the answer

Answer:

multiply 0.09 by 10 and that'd equal 0.09. A number 10 times greater then 0.009 is 0.09.

Joey is saving for a new $500 bike. He currently has $125. If he
saves $15 per week, how long must he wit to save at least $600 to
cover tax and extras?

Answers

Step-by-step explanation:

600 - 125 = 475

475 ÷ 15 = 31.6 = 32 (Estimated to nearest whole number)

Answer: 32 weeks

Please help me with this one ☝️

Answers

Wjebbeevbejejeeheb ienebebdebeh it IS BBB TRUST NE

Use the Distributive Property to find 1/3×6 1/2. please im suffering

Answers

Answer:

13/6 or 2 1/6

Step-by-step explanation:

6 1/2 = 13/2 (Improper Fraction)

1/3 = 2/6 (1/3 is just simplified)

1/3 x 1 + 1 + 4 + 6 + 1 = Answer

(13/2 x 1/3 = 13/6)

Answer:

13/6 or 2 1/6

Step-by-step explanation:

6 1/2 = 13/2 (Improper Fraction)

1/3 = 2/6 (1/3 is just simplified)

1/3 x 1 + 1 + 4 + 6 + 1 = Answer

(13/2 x 1/3 = 13/6)

Find the measure of the following angles given

Answers

Answer:

Step-by-step explanation:

m∠8 = 130

m∠6 = 130

m∠7 = 50

m∠11 = 65

m∠15 = 65

m∠10 = 65

Mai owes the bank $60. She gets $85 for her birthday and deposits it into her account. How much does she now have in the bank?

Answers

Answer:25

Step-by-step explanation:

Answer: She has $25 dollars in her bank account

Step-by-step explanation:

what is an equation of the line that passes through the points 0,-1 and 6,1
put answer in fully reduced form

Answers

Answer: x - x1/ x2- x1 = y -y1 / y2-y1

x - 6/ -6-6= y - 1/ -1 -1

x -6/-12 = y -1 /-2

-2(x-6) = -12 (y-1)

-2x +12 = -12y +12

12y = 2x +12-12

y= 2x/12

y= x/6

Step-by-step explanation:

Answer:

y=1/3x-1

Step-by-step explanation:

y= 1 over 3x minus 1

Plz Help me I need help

Answers

Answer:

i looked at it i do think you have it in right

Step-by-step explanation:

Help me with number 17 please and thank youuuuuuu

Answers

Answer:

number 1 gvbrturcdc5dcdcdex6he46y4

Step-by-step explanation:

Subtact: (9x + 5) - (4x + 3)​

Answers

Answer:

5x+2

Step-by-step explanation:

(9x+5)-(4x+3)

5x+2

Triangle ABC is similar to triangle XYZ. What is the length of YZ?
B
Y
32 in.
A
С
Х
Z
20 in.
15 in.
What is the length of yz

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete but i would solve a similar problem

Solution:

Triangles are shapes with three sides and three angles. Types of triangles are scalene, equilateral, isosceles triangles. Two triangles are similar if their corresponding sides have the same ratio and the angles of the two triangles are also equal.

Since the two triangles are similar, the ratio of their sides are equal, hence:

[tex]\frac{YZ}{BC}= \frac{XZ}{AC}\\\\but\ YZ=x, substituting\ gives:\\\\\frac{x}{3}=\frac{15}{5} \\\\x=\frac{15}{5} *3\\\\x=9 \\[/tex]

There are 18 girls in a bowling league there are three girls for every two boys in the lead how many boys are in the league

Answers

Answer:

12

Step-by-step explanation:

18 can be divided by 3 evenly making it 6. So there is 6 sets of 3 girls and 2 boys. So if you do 6 x 2 you get 12.

What is the equation of the line when m = 5 and b = -4?

Answers

Answer:

Y = 5x -4

Step-by-step explanation:

You literally just plug the numbers into the equation below:

y = mx + b.

Simplify (3 x 1012) x (6 x 105) and
write the answer in correct standard form

Answers

Answer:

3666

Step-by-step explanation:

Other Questions
Which is faster, our reaction to sights or our reaction to sounds? what is the answer to this equation -12= -3y Find the prime factorization of the number.22The prime factorization 6. The base of a triangular field is three times its height. If the cost of cultivating the fieldat 36 per hectare is? 486, find its base and height (1 hectare = 10000 m). Choose the word with a suffix. careful poem redo characters Lucia is playing with magnetic toy vehicles. She has two identical toy vehicles (purple and pink) that start on opposite sides of a center magnet that cannot move. She moves both vehicles one space closer to the center magnet.??? what helpppppppppppppppppppp 4. The type of thermal energy transfer that heats our homes is called Solve for X:x/5 + 4 = 6 Write a song 2 or 3 long and let me finish it please help me pleaseno cussing no sadness Which of the following is the quotient of the rational expression 4x/2x-1 divided by 3x+2/x+5 What type of wavelength can we feel as heat and it is used to change the television channel with a remote?microwavesultraviolet wavesX-raysinfrared waves Use the Factor Theorem to show that (x - 3) is a factor of the polynomialP(x) = x^5-3x^4+5x^3-15x^2-6x+18 Which of the following sentences does not use a correlative conjunction properly?Both Jack and Jill had enchiladas for lunch.Either we'll go to the movies or we'll go to the game.My dad not only took us camping but also hiking.Neither my brother nor I knows how to snow ski. Political instability was caused by Find the range of the data in this stem-and-leaf plot. [A] 89 [B] 120 [C] 209 [D] 136 [E] None of these HELP DUE IN 20 MINUTES AND I HAVE MORE TO DO!!!! I DONT UNDERSTAND!?!?!?!?!?!?!?!?What does Adams mean in saying that by enlisting under other banners than her own[s]he would be no longer the ruler of her own spirit? What are the green structures inside plant cells where photosynthesis takes place called? Explain why this scenario could put an organization in jeopardy of losing some of its workforce.Situation: The IT manager decides to add a new software application to replace an older albeit less efficient software application.