at old oak farm, there are chicken and horses. there are 120 legs and 48 heads altogether. how many horses and how many chickens are there?

Answers

Answer 1

Answer:

Step-by-step explanation:

We must use system of equations:

horses = h     chickens = c

horses have 4 legs & chickens have 2 and there are 120 legs total so to set up the first part of the equation...

4h + 2c = 120

They both have only 1 head each and there are 48 heads total so to set up the second part of the equation...

h + c = 48

Now we combine the equations and solve:

4h + 2c = 120

h + c = 48

Now we solve...

4h + 2c = 120

h = 48 - c         (subtract c on both sides to single out h)

--------------------

4(48 - c) + 2c = 120

192 - 4c + 2c = 120

-192                  -192

----------------------------

-2c = -72           (divide both sides by -2)

c = 36

Now we go back and find the value of h...

h = 48 - c

h = 48 - 36

h = 12

So there are 36 chickens & 12 horses!


Related Questions

The variables x and y vary inversely, and y=-11 when x = 16. Write an equation that relates x and y. Then
find y when x = -9.

Answers

Answer:

y=-176/x

y=176/9

Step-by-step explanation:

[tex]y = \frac{k}{x} \\ - 11 = \frac{k}{16} \\ k = - 176 \\ y = \frac{ - 176}{x} \\ y = \frac{ -176}{ -9} = 19 \frac{5}{9} [/tex]

PLEASE HELP

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Write the expression in simplest form.

Question: (-11/2x+3)-2(-11/4x-5/2)=??

Answers

Answer:

The answer is 8.

Step-by-step explanation:

Hope it will help you

Answer:

-22x + 88

Step-by-step explanation:

Simplify it into (-11/2x+3) + (11/4x-5)

Multiply by LCM (2x+3)(4x-5)

You will get -11(4x-5) + 11(2x+3)

Simplify it to -44x+55 + 22x + 33

Simplify it to -22x + 88

Please hurry I will mark you brainliest

What is the slope of this?

Answers

Answer:

Step-by-step explanation:

you can use the rise over run technique, where you count how many units you go down or up, left or right to get to the next point. or use the slope formula :

(y2-y1)/(x2-x1)

the pairs given :

(1,6) and (3,2)

(2-6)/(3-1) = -4/2 = -2

-2 is the slope. the line is going downwards so there is a negative slope

What is the system of inequalities associated with the following graph

Answers

Answer:

y<3

x+y≥1

This is the system of inequalities which will give you the result shown in the graph

Answered by GAUTHMATH

Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Enter the correct answer.

Answers

Answer:

Y = 1/4 x -3

Step-by-step explanation:

x1 y1  x2 y2

0 -3  -8 -5

   

ΔY -2    

ΔX -8    

   

slope=   1/4    

B= -3          

   

Y =0.25X +-3    

SOMEONE HELP ME PLEASE

Answers

Answer:

52.8988%

Step-by-step explanation:

Add the bach degrees together and divide it by the total number of degrees

Describe how you would determine the x-intercepts from the factored form of a quadratic equation

Answers

Answer:

Please check explanations

Step-by-step explanation:

Given the factored form, all we have to do is to equate each of the factor to zero, then solve for x

The particular value of x represents the solution that shows the value of the x-intercept

for example

In a case of a quadratic equation where we have

(x-a)(x-b) = 0

Then we can have

(x-a) = 0 or ((x-b) = 0

Then we have x = a or x = b

a and b are the x intercepts in this case

pls answer correctly and explain

thx

Answers

Answer:

36n = 360

Step-by-step explanation:

A dozen is 12

3 dozen is 3*12 = 36

36 * n boxes = 360

36n = 360

Miguel is building a skate ramp. He needs to cut a board that is Two-thirds of a yard long into 3 equal pieces

Answers

Given:

Miguel needs to cut a board that is Two-thirds of a yard long into 3 equal pieces.

To find:

The expressions that can you use to find the length of each piece.

Solution:

It is given that Miguel needs to cut a board that is Two-thirds of a yard long into 3 equal pieces. It means [tex]\dfrac{2}{3}[/tex] is divided in 3 equal parts.

[tex]\dfrac{2}{3}\div 3[/tex]

It can be written as:

[tex]\dfrac{2}{3}\div 3=\dfrac{2}{3}\times \dfrac{1}{3}[/tex]

[tex]\dfrac{2}{3}\div 3=\dfrac{2}{9}[/tex]

Therefore, the required expression is [tex]\dfrac{2}{3}\div 3[/tex] and the length of each piece is [tex]\dfrac{2}{9}[/tex] yards.

Answer:

a and c

Step-by-step explanation:

A chemist has a container of 12% peroxide solution and a container of 20% peroxide solution. She needs to mix the two solutions to create 100 mL of a 14% solution. If x represents the amount of 12% peroxide solution and y represents the amount of 20% peroxide solution she needs, which matrix equation can determine the amount of each solution she needs to make the 14% solution?

Answers

Answer:

[tex]0.12x+0.2y=14,\:x+y=100\quad :\quad x=75,\:y=25[/tex]

Step-by-step explanation:

.12x + .2y = 14

x + y = 100

Answer:

Its B

Step-by-step explanation:

Find the size of one interior angle of a regular 10-sided polygon.

Answers

Answer:

144

Step-by-step explanation:

Exterior angle = [tex]\frac{360}{number \ of \ sides}[/tex]

                       [tex]=\frac{360}{10}[/tex]

                       = 36

Interior angle and exterior angles are supplementary.

interior angle + exterior angle = 180

Interior angle + 36 = 180

Interior angle = 180 - 36

                       = 144

Given the equation -2x+3y=12, find the missing value in the ordered pair 3,

Noo linkss plz

Answers

Answer:

(3,6)

Step-by-step explanation:

-2x+3y=12

Let x = 3

-2(3) +3y = 12

-6+3y = 12

Add 6 to each side

-6+6 +3y = 12+6

3y = 18

Divide each side by 3

3y/3 = 18/3

y = 6

What are the steps i need to do (along with the answer) to 9^x = sqrt of 729?

Answers

Answer:

last option is correct 3/2

Answer:

x = 3/2

Step-by-step explanation:

9^x = 729 ^ 1/2

We need to get the bases the same

729 = 9^3

9^x = 9^3 ^ 1/2

We know that a^b^c = a^(b*c)

9^x = 9^3/2

Since the bases are the same, the exponents are the same

x = 3/2

6x8x8 is it actually 384?! Please show me how!

Answers

Answer:

If it's hard to add together, I think you should get a calculator

The length L of the base of a rectangle is 5 less than twice its height H. Write the algebraic expression to model the area of the rectangle.

Answers

Answer: 2H^2 - 5H

Explanation:
1. L = 2H - 5
2. Area of a rectangle is length (L) times height (H), so in this case, it would be (H) x (2H - 5)
3. Multiply H by everything in the parenthesis
4. You should get 2H^2 - 5H

The length L of the base of a rectangle is 5 less than twice its height H. Then the algebraic expression be, area of rectangle = 2H² - 5H.

What is the algebraic expression to model the area of the rectangle?

Let, the given information be "The length L of the base of a rectangle is 5 less than twice its height H".

L be the length of the rectangle

H be the height of the rectangle

By converting the given information into an algebraic expression, we get

Length = 2H - 5

The area of a rectangle is given by the formula;

Area of rectangle = L [tex]*[/tex] H

Where L is the Length.

H is the Height.

Substituting the values into the formula, we have;

Area of rectangle = (2H - 5) [tex]*[/tex] H

Area of rectangle = 2H² - 5H

Therefore, the area of rectangle = 2H² - 5H.

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Find the value of the expression 8x^3 if x=0

Answers

The answer would be 0 because it’s 8 times 0 cubed. And 0 times any number is 0 so 0 to the 3rd power is 0

Your employer offers a 401(k) plan in which they will match 100% of
your contributions, up to 5% of your salary. Suppose you make
$35,000 in a given year, and you contribute $4,000.

Answers

Answer:

they will match 5% of 35,000 = $1750

so you total would be $5,750

Step-by-step explanation:

work out the length of ab​

Answers

Answer:

AB = 2√137

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

a = 22 cm

b = 8 cm

Step 2: Solve for c

Substitute in variables [Pythagorean Theorem]:                                            (22 cm)² + (8 cm)² = c²Evaluate exponents:                                                                                        484 cm² + 64 cm² = c²Add:                                                                                                                   548 cm² = c²[Equality Property] Square root both sides:                                                   2√137 cm = cRewrite:                                                                                                             AB = 2√137

Answer:

AB= 2√137 cm

Step-by-step explanation:

because we have a right triangle we apply the Pythagorean theorem

hypothenuse² = side² + side²

AB² = BC² + AC², substitute the given sides BC=8 and AC=22

AB² = 8² + 22² , square the numbers and apply the square root to both side

AB = √(64 + 484), add the numbers

AB = √548, simplify the square root

AB= 2√137 cm

What is Index Law 3?
please give explanation

Answers

Answer:

hi hi hi hi hi

Step-by-step explanation:

plz follow me

The third and last law tells us that when we have to multiply a power in a bracket, by another power outside the bracket, we have to multiply the two powers together to get the answer.

CAN SOMEONE HELP ME PLEASE!

Answers

9514 1404 393

Answer:

FalseFalseTrue

Step-by-step explanation:

1. All of the x-values are unique, so the relation is a function. The statement is False.

__

2. It is true that integer values of x in the interval 3 ≤ x ≤ 8 are the domain of the function. However, the inequality does not limit values of x to being integers. x=3.5 satisfies the inequality, but is not in the domain. The statement is False.

__

3. The range of the function is the set of y-values. The statement is True.

Find the equivalent percent for ¾

Answers

3/4 is equivalent to 75%.

To find the percentage of a fraction, you simply just divide the numerator by the denominator. 3/4=0.75, which is 75%.

Answer:

75%....3/4 expressed as a percentage is just multiplying 3/4 and 100

The number of music CDs sold in 1993 by one company was approximately 2.3×10^6.The number of music CDs sold by the same company in 2001 was approximately 7.9×10^7. What is the difference in CDs sold between 1993 and 2001?

Answers

Answer:

84%

Step-by-step explanation:

I'm not sure how I got that answer but I'm just smart like that. I'm sorry I couldn't give a better explanation. I'm in a bit of a rush but I hope this answer is helpful to you. Percentage was the only way I could think of. Sorry again.

The difference between  CDs sold between 1993 and 2001 will be 76.7 × 10⁵.

What is subtraction?

To subtract in mathematics is to take something away from a group or a number of objects.

In another meaning subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

Given that sell of CDs in 1993 is 2.3 × 10⁶.

Sell of CDs in 2001 is 7.9 × 10⁷.

The difference between sell is = 7.9 × 10⁷ - 2.3 × 10⁶

76.7 × 10⁵ hence it will the correct option.

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which choice is equivalent to the expression below? square root of 50 - square root of 2

Answers

Answer:

square root of 50

Step-by-step explanation:

Distributions and Comparing Data Project
Round all answers to the nearest tenth. Present your work in a neat, legible way. Show all work.
Given the data set (16 values):
8, 6, 10, 5, 7, 1, 6, 11, 5, 13, 14, 8, 11, 9, 8, 6
1. Create a histogram and a box plot to represent this data set. What is the shape of the data
representation? Explain your reasoning.
2. Which measure of center and spread would you use to represent this data? Explain your reasoning.
3. Use a random number generator to generate a set of 15 numbers between 1 and 20. Create a
histogram and box plot to represent your data set. Calculate measures of center and spread. Which
measure of center and spread would you use to represent your data?
For questions 6-9 refer to the box plots (Assume their positions are on same number line). Write your
Class A
Class B
Class C
Class D
o
4. Which class(es) appear to have the most consistent scores? Explain your reasoning,

Answers

Answer:

1. The shape of the histogram created with MS Excel is approximately bell shaped and approximately evenly spread about the central (largest counts) values

The shape of the box plot created with MS Excel is approximately evenly distributed

2. The appropriate measure of central tendency for a bell shaped histogram is the mean and median, due to the approximately equal distribution about the highest frequency class

3. Part A

The 15 numbers between 1  and 20 generated by a random generator are;

1, 8, 8, 15, 4, 18, 11, 6, 17, 1, 18, 15, 10, 12, 11

The measure of center is the mean =  (1+8+8+15+4+18+11+6+17+1+18+15+10+12+11)/15 = 155/15 = 31/3

The measure of spread used is the variance, s² = 32.38

[tex]Where, \,s^2 =\dfrac{\sum \left (x_i-\bar x \right )^{2} }{n - 1}[/tex]

[tex]{\sum \left (x_i-\bar x \right )^{2} }[/tex] = 453.333

n = 15

s² = 453.[tex]\overline 3[/tex]/(15 - 1) = 32.38

Part B

The measure of central tendency are the mean and the median because the size of the data (n = 15), is 75% of the population (N = 20) nd therefore the data is approximately normal and can be represented by the mean and the standard deviation

Step-by-step explanation:

1. Una empresa realizó una encuesta a 250 personas para saber qué programa de televisión prefieren ver en domingo. Se les dieron 3 opciones: deportes, películas o musicales. El resultado de la encuesta fue: 130 personas prefieren deportes; 80 prefieren ver películas; 40, musicales; 25 prefieren deportes y películas; 20, películas y musicales; 10, deportes y musicales; y sólo a 6 personas les gustan los tres tipos de programas. a) ¿Cuántas prefieren ver sólo deportes? b) ¿Cuántas prefieren ver sólo un programa de televisión? c) ¿Cuántas prefieren ver películas o musicales?

Answers

Answer:

A) 89 personas prefieren ver sólo deportes.

B) 122 personas prefieren ver sólo un programa de televisión

C) 33 personas prefieren ver películas o musicales.

Step-by-step explanation:

Dado que una empresa realizó una encuesta a 250 personas para saber qué programa de televisión prefieren ver en domingo, y se les dieron 3 opciones: deportes, películas o musicales, donde el resultado de la encuesta fue: 130 personas prefieren deportes; 80 prefieren ver películas; 40, musicales; 25 prefieren deportes y películas; 20, películas y musicales; 10, deportes y musicales; y sólo a 6 personas les gustan los tres tipos de programas; para determinar A) cuántas prefieren ver sólo deportes, B) cuántas prefieren ver sólo un programa de televisión; y C) cuántas prefieren ver películas o musicales, se deben realizar los siguientes cálculos:

A)

130 - 25 - 10 - 6 = 89

B)

80 - 25 - 20 - 6 = 29

40 - 20 - 10 - 6 = 4

89 + 29 + 4 = 122

C)

29 + 4 = 33

2. Given f(x) = 4x -2 and g(x) = x2 + 1, evaluate:

a) f(5)
b) g(-3)
c) g(x - 2)
d) f(g(x))

Answers

Answer:

a).

f(5) = 18

b).

g(-3) = 10

c).

g(x-2) = x²- 3

d).

f(g(x)) = 4x²- 1

f(x)= x^2-6x+5 Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry for the function.

Answers

Step-by-step explanation:

The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.

Write an equation in slope intercept form for the line with slope -2 and y intercept-5

Answers

Answer:

Y=-2x-5

Step-by-step explanation:

Y=Mx + b where m is the slope and b is the y intercept

y=-2x-5

brainliest is appreciated

Please read below. Thank you.

Answers

2+3=5cm

Step-by-step explanation:

2 and 3 would have to be added together to get the radius of the circle, resulting in the answer being 5. 2+3=5cm that's your answer

The equation of circle with center (h,k) and radius r units is

(x -  h)^2 + (y - k)^2 = r^2

The equation of the circle with center (2,3) and radius 5 cm is

= (x - 2)^2  + (y - 3)^2 = 5^2

= x^2  -  4x + 4 + y^2 - 6y + 9 = 25

= x^2 + y^2 - 4x - 6y - 12 =0

hope it helps and is right

a = 3d
work out the value of 'a' when , d= 5​

Answers

Answer:

15

Step-by-step explanation:

a = 3d

Let d=5

a = 3*5

a = 15

hope this helps! feel free to clarify!
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