Farmer Brown has 42 animals, which are cows and chickens. They have a total of 120 legs. Write a system of equations, show your work, and solve for the number of chickens Farmer Brown has.

Answers

Answer 1

Answer:

The system of equations is:

x + y = 42

4x + 2y = 120

And there are 24 chickens.

Step-by-step explanation:

We know that the total number of cows (x) plus the total number of chickens (y) is 42, because Farmer Brown has 42 animals.

We also know that cows (x) have 4 legs and so 4 times the number of cows is the number of cow legs. And chickens (y) have 2 legs, so the number of chickens times two represents the total chicken legs. The sum of 4x + 2y is 120 because there are 120 legs in total.

To solve the system of equations, first solve each equation for y.

In the first equation:

x + y = 42

Subtract x from both sides to isolate y.

y = 42 - x

Second equation:

4x + 2y = 120

Subtract 4x from both sides

2y = 120 - 4x

Divide both sides by 2

y = 60 - 2x

Now that the y's are isolated in both equation, you can put them into 1 equation. Where y = y:

y = 42 - x

y = 60 - 2x

42 - x = 60 - 2x

Add 2x to both sides

42 + x = 60

Subtract 42 from both sides

x = 18

Since x is the number of cows, we know that Farmer Brown has 18 cows.

Now we can substitute the x value into one of the equations:

y = 42 - x

y = 42 - (18)

y = 24

The number of chickens is represented by y, so there are 24 chickens.


Related Questions

can you guys help me on this one please ?

Answers

Answer:

C7t

Step-by-step explanation:

Can someone help with this please . I really don't understand it!!!!!!!!

Answers

natural log = ln= log base e = logₑ

normal log = log = log base 10 = log₁₀

when someone says log you consider it log₁₀

when someone specifically says natural log or ln you consider logₑ

A tennis ball has a radius of about 1.4 inches What is the volume of the tennis ball to the nearest half inch.? Use 3.14 as an approximation for

Answers

Answer:

Volume of tennis ball = 11.49 inch³

Step-by-step explanation:

Given:

Radius of tennis ball = 1.4 inches

Value of π = 3.14

Find:

Volume of tennis ball

Computation:

Volume of sphere = [4/3][π][r]³

Volume of tennis ball = [4/3][π][Radius of tennis ball]³

Volume of tennis ball = [4/3][3.14][1.4]³

Volume of tennis ball = [1.333][3.14][1.4]³

Volume of tennis ball = [1.333][3.14][2.744]

Volume of tennis ball = [4.1856][2.744]

Volume of tennis ball = 11.4852

Volume of tennis ball = 11.49 inch³

6 1/4 divided by 25.8

Answers

Answer:

0.24224806201 or 0.24 or 6/25 or 24%

Step-by-step explanation:

375 fish are swimming in a school. First, 47 fish swim away. Then 116 more fish join the school. How many fish are in the school now

Answers

Answer:

The answer is 444.

Step-by-step explanation:

First, you do 375 - 47 because 47 swam away, decreasing the amount of fish that are swimming in a school. Then, 116 fish come back to swim so you add 116 to get 444.

There are 444 fish in the school now.

What is Unitary Method?

The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.

The unitary approach is used when we have several goods with varying values in our possession. To get the value of one unit, we simply divide the total value by the number of units.

We have,

375 fish are swimming in a school.

First, 47 fish swim away.

Then 116 more fish join the school.

So, the number of fish in the school now

= 375 - 47 + 116

= 444 fish

Thus, there are 444 fish in school now.

Learn more about Unitary Method here:

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In the picture below, what is the value of x?
с
D
Х
9
E
10
115
А
В
8
10
ОООО
с
14
d
5

Answers

Answer: 9

Step-by-step explanation:Because you have to loom at the answer

a car travels 125 miles in 3 hours how far will the car travel in 5 hours. unitary method​

Answers

728/883j829/873739-2829138484
answer: 208 miles in 5 hours

how do you draw on essay questions on online school pls help ASAP​

Answers

Answer:

i dont think that you can

perhaps attatch a file of a drawing to the question you are answering for school

Step-by-step explanation:

Answer:

Answer the question according to general rules of academic writing. Use indentations; begin each paragraph with a topic sentence; support the topic sentence(s) with reasons and/or examples; use transition words to show logical organization; write a conclusion. Use correct punctuation throughout.

Step-by-step explanation:

i dont know is this what u meant lol

6.
Match the graph with its equation.



A. 7x + 7y = 49

B. –7x +7y = –49

C. 7x – 7y = –49

D. 7x + 7y = 0

Answers

Answer:

B. –7x +7y = –49

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

y-intercept:  

(

0

,

7

)

x

y

0

7

1

6

6
The scale on a map is 1 : 50 000.
How many kilometres on the ground are represented by 8 cm on the map?

Answers

Answer:

400,000km is represented as 8cm on the map!!!

Step-by-step explanation:

1cm=50000km

8cm=x

Criss cross

1cmx=8cm×50000km

divide both side with 1cm

x=8×50000km

x=400,000km

Which of the following is not equal to angle 6? A.1 b.2 c.3 d.7

Answers

Answer:

A 1

Step-by-step explanation:

please mark this answer as brainliest

Which statements are true? Check all that apply.

The ratio of the measure of the central angle to the measure of the entire circle is StartFraction 5 Over 2 pi EndFraction.
The ratio of the measure of the central angle to the measure of the entire circle is Five-halves.
The area of the sector is 250 units².
The area of the sector is 100 units².
The area of the sector is more than half of the circle’s area.

Answers

Answer:

1, 3, 5

Step-by-step explanation:

just took the edge.

The area of the sector is 250 units². Therefore, the correct option is option A among all the given options.

What is sector of circle?

A circle's sector is a pie-shaped portion made up of the arc and its two radii. At both ends of the arc, when a section of the circle's circumference (also called as an arc) and two of its radii meet, a sector is produced. A sector of such a circle resembles a piece of pizza or a pie in shape.

A circle ranks among the most ideal shapes in geometry. The simplest geometric shape is that of a circle's sector. It has a number of its own components. such as sector, segmentation, circumference, segment, and diameter. The area of the sector is 250 units².

Therefore, the correct option is option A.

To know more about sector of circle, here:

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hii please help i’ll give brainliest

Answers

Answer:

its the last one

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Asking again because last time I didnt get an actual answer. What is the surface area of this composite figure?

Answers

Answer:

644 cm^2

Step-by-step explanation:

10*7*2+12*7*2+12*10=140+168+120=428

10*12-3*3=111

428+111=539

8*3*4+3*3=96+9=105

539+105=644

The height of the Eiffel Tower in Paris is 980 feet. If the scale of the cake to the actual tower will be 1 in: 15ft, how tall should Julie make the cake? Show your work and explain your reasoning.​ Will mark brainliest to the correct answer

Answers

65.33 inches is the answer. 980/15 = 65.33 inches

which expression is equivalent to (4*2) 1/3

Answers

Answer:

B

Step-by-step explanation:

Need Answer Immediately!!!!!

Answers

Answer:

y = [tex]\frac{-5}{4}[/tex]x + 3

Step-by-step explanation:

As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.

The general equation of a straight line is given by:

y = mx + c or            -------------(i)

y - y₁ = m(x - x₁)        -----------------(ii)

Where;

y₁ is the value of a point on the y-axis

x₁ is the value of the same point on the x-axis

m is the slope of the line

c is the y-intercept of the line.

Equation (i) is the slope-intercept form of a line

Steps:

(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.

In this case, let;

(x₁, y₁) = (0, 3)

(x₂, y₂) = (4, -2)

(ii) With the chosen points, calculate the slope m given by;

m = [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]

m = [tex]\frac{-2-3}{4-0}[/tex]

m = [tex]\frac{-5}{4}[/tex]

(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = [tex]\frac{-5}{4}[/tex] into equation (ii) as follows;

y - 3 = [tex]\frac{-5}{4}[/tex](x - 0)

(iv) Solve for y from (iii)

y - 3 = [tex]\frac{-5}{4}[/tex]x

y = [tex]\frac{-5}{4}[/tex]x + 3 [This is the slope intercept form of the line]

Where the slope is [tex]\frac{-5}{4}[/tex] and the intercept is 3

4.496
0.1%
1.7%
0.1%
4.4%
1.79
T
1.5 2 2.5
-4
-3.5 -3 -2.5

A car company wants to predict the amount of money people with children are willing to spend to add video entertainment systems to their vehicles.
The company hires a research firm to conduct a random survey and provide predictive statistics. The firm indicates that its sample data reflects a
normal population distribution. On average, the parents surveyed are willing to spend $650 for an entertainment system. The research firm also
reports there are a certain percentage of people likely to spend between $325 and $975, which is within a 1.5 standard deviation (plus or minus) from
the average. What percent of the population falls within this range?
A
50%
B
68%
с
87%
D
93%

Answers

Try A
Explaining
............

will mark brainliest

Answers

Answer:

25 un²

Step-by-step explanation:

Formula = 1/2(b x h)

Base = 10

Height = 5

1/2( 10 x 5) = 1/2 (50) = 25

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

[tex]25 \: {units}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{(10 \times 5)}{2} = 25[/tex]

The 12 department chairs at Cedar H.S. represent the teaching staff. The principal assigns each chair a number and uses a random number generator to select 2 chairs to participate in a retreat at the state capital. Complete the sentence. The scenario is or is not a simple random sample because every group of size 2 in the population has or does not have an equal chance of being selected.

Answers

Answer:

is

has

Step-by-step explanation:

Answer:

here's  the answer!

Quadrilateral ABCD has two pairs of parallel opposite sides and the m∠A=90°. Classify quadrilateral ABCD.

Answers

Answer: Rectangle

Step-by-step explanation: A rectangle has opposite sides which are parallel and congruent and a rectangle must have a right angle

Given m||n , find the value of x

Answers

Answer:

possibly 10

Step-by-step explanation:

im not sure possibly

help me out pleaseeeeeeeeeee

Answers

Step-by-step explanation:

1. 6y=2x+5(divide all sides by 6) y=1/3x+5/6 =1/3

The difference of the two numbers is 1.Their sum is 23.find the numbers

Answers

Answer:

11 and 12

Step-by-step explanation:

The two numbers will be called x and y. The sum of x and y is 23 and the difference is 1.

x + y = 23  

x - y = 1

Add the equations together

x + y + x - y = 23 + 1

2x = 24

x = 12

y = x - 1

y = 11

helpmesolevthisplease

Answers

Answer: reflection across the x = -y B

Step-by-step explanation:

Daniel earns $760 each month he pays 15% of his earning in tax.
calculate the amount of money Daniel has each month after paying tax​

Answers

15 percent of 760 is 114
760 - 114 = 646

Hope this helps :D

How many cars can Sparkle Car Wash clean per hour, rounded to the nearest tenth
rouridad

Answers

It looks like between 8-9

what is the end behavior of f(x)=√2x+4

Answers

Answer:

f'(x)= -x

Step-by-step explanation:

f'(x)= -1/2(2x)

f'(x)= -x

Write an equation in slope-intercept form of the line that passes through the given point and is
parallel to the graph of the given equation.
(-1,6); y = 9x - 5

Answers

Answer:

y = 9x - 15

Step-by-step explanation:

The given y = 9x - 5 is already in slope-intercept form.  Any line parallel to this one has an equation that looks exactly the same except for the constant term.  Call the new constant term 'C.'

Start with y = 9x - 5 and substitute the coordinates of the given point (-1, 6):

6 = 9(-1) + C, or

6 + 9 = C, or

C = 15

Then the equation of the line that passes through (-1, 6) and is parallel to y = 9x - 5 is

y = 9x - 15

Drag each number to the box on the right so it matches the value of the expression on the left. Each number may be used once, more than once, or not at all. 25 returned to choices list. 33.6252768.48 Expression Value of the Expression [ 4 × ( 4 + 3 ) ] − 3 [ ( 7 − 5 ) ÷ 1 2 ] × 2 ( 5 . 4 + 3 ) × ( 6 − 2 ) [ 9 ÷ 3 + 6 ] × 3 ( 4 + 3 . 2 ) × [ ( 9 − 2 ) + 2 . 5 ]

Answers

Answer:

[tex]-62024.48[/tex]

Step-by-step explanation:

Given

[tex][ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5][/tex]

Required

Solve

The question is poorly formatted; the only way to answer this is to place the result of each step in brackets until brackets cannot be used.

So, we have

[tex][ 4 * ( 4 + 3 ) ] - 3 [ ( 7 - 5 ) \div 1 2 ] * 2 ( 5.4 + 3 ) * ( 6 - 2 ) [ 9 \div 3 + 6 ] * 3 ( 4 + 3.2 ) * [ ( 9 - 2 ) + 2.5 ][/tex]

Solve the expressions in the inner brackets

[tex][ 4 * 7 ] - 3 [ 2 \div 1 2 ] * 2 ( 8.4 ) * ( 4 ) [ 9 \div 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ][/tex]

Solve all divisions

[tex][ 4 * 7 ] - 3 * \frac{1}{6} * 2 ( 8.4 ) * ( 4 ) [ 3 + 6 ] * 3 ( 7.2 ) * [ 7 + 2.5 ][/tex]

[tex][28] - 0.5 * (16.8) * (4) [9] * (21.6) * [9.5][/tex]

[tex][28] - 0.5 * (16.8) * [36] * (21.6) * [9.5][/tex]

Multiply through

[tex]28- 62052.48[/tex]

[tex]-62024.48[/tex]

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