Mathematics High School

On farmer Palmer’s farm, the cats have got into the chicken coop and are causing chaos.
Farmer Palmer counts in total, 11 heads and 30 legs. How many cats and how many chickens are in the chicken coop. Show a step by step method using simultaneous equations.

Answers

Answer 1
4 cat and seven chicken
Answer 2

The number of chickens and goats will be 7 and 4, respectively.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

On farmer Palmer’s farm, the cats have got into the chicken coop and are causing chaos. Farmer Palmer counts in total, 11 heads and 30 legs.

We know that a goat has four legs and a chicken has 2 legs.

Let 'x' be the number of chickens and 'y' be the number of goats. Then the equations are given as,

x + y = 11                  ...1

2x + 4y = 30           ...2

From equations 1 and 2, then we have

2(11 - y) + 4y = 30

22 - 2y + 4y = 30

2y = 8

y = 4

Then the value of 'x' is given as,

x = 11 - 4

x = 7

The number of chickens and goats will be 7 and 4, respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Related Questions

The sides of a rectangle have a length of x + 4 units and a width of 2x + 5 units. Which of the following represents the perimeter of the rectangle? Someone please help. I need it​

Answers

Answer:

B. 6x+18

Hope this helps!

Step-by-step explanation:

can someone help me please, please hurry. I may mark brainiest

Answers

linear pair!!!!!!!!!!!!!!

pwease help thank you

Answers

Answer: -3

So, first off, judging from the h(x) graph, h(x)=-2x–1
So this is compositions or something like that; it’s been a year since I’ve done calculus but here we go:
First, you must find f(6) by replacing every x in that function by 6
f(6) = (1/2)(6) – 4
f(6) = (6/2) – 4
f(6) = 3 – 4
f(6) = -1
Now, since you’ve found f(6), now to find h(-1) (since f is -1 and h( f(6) ) is h(-1) )
h(-1) = 2(-1) – 1
h(-1) = -2 – 1
h(-1) = -3

So, the answer is -3

The answer is 55. You need to use the rules above to find the actual measure for angle b

Answers

209 + 96 + 55 = 360

Step-by-step explanation:

A circle is 360 degrees

209 is part of the circle so find the difference between 360 and 209

360 - 209 = 151

If the two angles are equivalent to 151, then we find the difference between 151 and 96 to get the measurement for angle b

151 - 96 = 55

I read now that it says use the rules above, but I'm not seeing any rules in the picture so hopefully my steps are the rules you're referring to

f(x) = 10x - 2x2
find f(4)

A 24
B -22
C. -24
D. -8

Answers

Answer:

maybe try A

Step-by-step explanation:

why do math exist in school?​

Answers

Answer: I have no idea

Step-by-step explanation:

A figure has side lengths 5, 7, and 13. Could the figure be a triangle?

Answers

Answer: no

Step-by-step explanation:

A runner runs at an average speed of 5 m/s for 50 seconds.
How far did the runner run in metres?


Answers

Answer:

He has ran 250 metres.

Step-by-step explanation:

Since he runs 5 meters per second, you would obviously multiply 50 times 5, which is 250.

Answer:

250 meters

If you do 5 x 50 you will get how far the runner ran because I mean that's how averages work, I really hope this helped!

HELP ME PLZZ I NEED HELP WITH THIS!!!

Answers

I believe the answer is letter A

Answer:

D because you're adding to negatives and you get a postive

A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7. 1.What are the side lengths of the scaled copy? 2. Suppose you want to scale the copy back to its original size. What scale factor should you use?​

Answers

for the first one it’s 14 by 21 inches

1. Approximately fourteen 20-ounce plastic drink bottles must be recycled to produce 1 square foot of carpet. Write an expression for the number of bottles needed to make c square feet of carpet.​

Answers

Do you have the options?

3a+ 6 = 15, 3a = 9, a+ 2= 5, 1/3a =1
are any of these equation equivalent to one another if so, which ones? Explain tou reason

Answers

Given parameters:

  Find if any of the equations are the equivalent;

           3a+ 6 = 15

            3a = 9

            a+ 2= 5

              [tex]\frac{1}{3a}[/tex] =1

To find which of the equations are equivalent to one another, let us solve them first. The ones with the same solution are definitely equivalent.

     (i)  3a+ 6 = 15

                3a  = 15 - 6

                 3a  = 9

                    a = 3

       (II)   3a = 9

                a = 3

    (III)     a+ 2= 5

                a = 5-2

                a = 3

   (IV)      [tex]\frac{1}{3a}[/tex] =1

             1 = 3a

             a  = [tex]\frac{1}{3}[/tex]

We clearly see that the first three equations are equivalent.


Solve for the value of s.


HELP PLS NOW 20 POINTS

Answers

Answer:

15

Step-by-step explanation:

82 + (7s - 7) = 180

   - subtract 82 from both sides

7s - 7 = 98

   - add 7 to both sides

7s = 105

   - divide both sides by 7

s = 15

Evaluate each function over the set of real numbers.
If f(x) = |x-3|, f (3) =
-3
0
1
3
Undefined​

Answers

Answer:

1.) 0

2.) undefined

3.) undefined

Step-by-step explanation:

2020EDGE

The value of function f(x) = |x-3| at x=3:

f(3) = 0

Given,

f(x) = |x-3|

Now,

Here the function f(x) is modulus function . Thus the values coming out of the function will be positive .

So,

f(x) = |x-3|

Now we have to substitute the value of x in the function.

f(3) = |3 - 3|

f(3) = |0|

f(3) = 0

Thus the value of function at x = 3 is 0 .

Know more about modulus function,

https://brainly.com/question/30241426

#SPJ2

The atomic number of an element is equal to the number protons in the atoms of that element
True or false

Answers

Answer:

True

Step-by-step explanation:

Answer:

It is true

Step-by-step explanation:

Hope I Helped....✌

combine like terms 10a-10a+1

Answers

1 is the correct answer

Answer:

1

Step-by-step explanation:

10a and -10a would combine and cancel eachother out leaving you with 1

pls help me...
A. y is all real numbers
B. y>0
C.-6</=x </=6
D.0 </=y </=8​

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]0 \leqslant y \leqslant 8[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus the correct answer is (( D )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

please hurry and help ill give brainy
The ratio of skiers to snowboarders is 5 to 2. If 210 skiers rode the chairlift in the last hour, how many snowboarders rode the chairlift during that same time?
[A] Write a proportion that is defined by this situation.
[B] Explain how the cross product is used to solve the problem.
[C] Answer the question.

Answers

Answer:

84

Step-by-step explanation:

5/2 for every 2.5 skiers one snowboarder rides

[A] 2.5 skiers to one snowboarder

[B] [tex]\frac{1}{2.5} = \frac{?}{210}[/tex]

210=2.5*x divide both sides by 2.5

x=84

[C] 84 snowboarders rode at the same time as 210 skiers

Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

6: no

7: no

-9: yes

-2: no

-2(x - 5) = -14 PLEASEEEEE HELPPPPPP

Answers

okay so you need to start off by using the distributive property, meaning you are going to multiply -2 by both items within the parentheses. this gives you -2x + 10 = -14. from here you want to isolate x, so you’ll subtract both sides by 10 to move it to the other side. this gives you -2x=-24. then you’ll divide both sides by -2 to completely isolate x. this gives you x=12. does that make sense?

How has our national anthem helped to promote unity in diversity?​

Answers

Answer:

Nepal's national anthem really promotes diversity

Step-by-step explanation:

There are all sorts of words used that display diversity

Channelside Boat Rental Shop charges 100 dollars plus 25 dollars an hour for renting an electric boat. John paid 225 dollars to rent a boat. How many hours did he have the boat checked out?

Answers

Answer:

1 hour and 45 mins

Step-by-step explanation:

I am not sure I am right but I think I am

Hope this helps!

Answer:

1 hour and 25 minutes

Step-by-step explanation:

round the nearest tenth 11.34? A:11.3 B:12.34 C:12 SOMEONE PLZ HELP

Answers

Answer:

B is the asnwer

Step-by-step explanation:

Answer:

Your answer is A. 11.3

Step-by-step explanation:

To round to the nearest tenth of 11.34, you will be using the 4 to determine if the 3 (in the tenth place) will be rounded up or stay the same. Since 4 is under 5, the 3 will remain the same.

what is an equation of the line in, point slope form, that passes through the given point and has the given slope?
point: (8,-8); slope: 3
​

Answers

Answer:

I hope this helps

Step-by-step explanation:

The answer is 3.453

Answer:

y + 8 = 3(x - 8)

Step-by-step explanation:

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex]) Use point-slope form.

y - (-8) = 3(x - 8) Substitute [tex]y_{1}[/tex]for -8, m for 3, and [tex]x_{1}[/tex] for 8.

y + 8 = 3(x - 8) is the equation.

(I'd appreciate a brainliest! thanks)

The image of trapezoid PQRS after a reflection across Line W Y is trapezoid P'Q'R'S'.

2 trapezoids are shown. Line W Y is the line of reflection. Line segment R R prime has a midpoint at point Z. Line segment S S prime has a midpoint at point X.

What is the relationship between RR' and SS'?

Answers

Answer:

The answer is C. RR' || SS'

Step-by-step explanation:

Answer:

The answer is C. RR' || SS'

In a city the distance between the libary and the police station is 3 miles less than than the distance between the police station and fire station the distance between the libary and police station is 5 miles how far apart are the police station and the fire station

Answers

Answer:

8 miles

Step-by-step explanation:

Given

Represent the police station with P, Library with L; Fire station with F

The first statement can be represented as:

[tex]L - P = P - F - 3[/tex]

The second can be represented as:

[tex]L - P = 5[/tex]

Required

Determine the distance between the police station and the fire station (P - F)

[tex]L - P = P - F - 3[/tex] --- (1)

[tex]L - P = 5[/tex] --- (2)

Substitute 5 for L - P in (1)

[tex]5 = P - F - 3[/tex]

Add 3 to both sides

[tex]3 +5 = P - F - 3 + 3[/tex]

[tex]3 +5 = P - F[/tex]

[tex]8= P - F[/tex]

[tex]P - F = 8[/tex]

There are 6 triangles and 4 circles. What is the simplest ratio of circles to total shapes?

Answers

Answer:

2:5

Step-by-step explanation:

Have a good day!

Answer:

6:10 but 3:5 simplified

Need help with these bad

Answers

My camera kinda bad but you should be able to see the photo.

please help with the problem above

Answers

Answer:

The answer would be -9x^2+x-8

(1 point) .
What is the equation, in standard form, of a parabola that models the values in the table?
х -2 0 4
f(x) 0 -6 78
a.) y= 6x² + 5x - 4
b.) y=-4x2–5x + 6
c.) y=5x2 + 4x = 6
d.) y=4x² + 5x- 6
please helpppp​

Answers

Answer:

Correct answer D. y = 4x2 + 5x – 6

Step-by-step explanation:

just took the test

Other Questions
you can ask Dr. Hemsworth for advice. is a fragment? After chylomicrons leave the intestinal cells, they are transported via what system?. Select the correct answer.Which function is represented by this graph?A. f(x) = -|x 1| + 8B. f(x) = -|x 8| + 1C. f(x) = -|x + 8| 1D. f(x) = -|x + 1| 8 The Choir Booster Club had a budget of $1,500 at the start of the school year. They spend $225.30 on t-shirts, $482.25 on lost uniforms, and $135.68 on a holiday party. How much does the booster club have left in their budget? A. $956.77 B. $856.73 C. $656.77 D. $665.77 She brought 10 ounces of spicy popcorn for 2.50 . Which two equations represent this situation . why are genetically modified mosquitoes are going to be released in the Florida Keys and what are the potential advantages and disadvantages of doing this Which linear inequality is represented by the graph? y > 2x 3 y < 2x 3 y > 2x 3 y < 2x 3 Limits do not give the y-value AT the given x; rather they give what y-values the function is __________ AROUND the given x Help I need this done today !!!! A radio station gave away 184 tickets to a concert. They gave away 3 times as many tickets to listeners as to employees. How many tickets did they give away to employees?A. 92 tickets B. 138 tickets C. 74 tickets D. 46 tickets FIFTEEN POINTS HELP!!!!! The gravitational strength on Earth is less than the gravitational strength on Jupiter. What will happen to a satellite when it travels from Earth to Jupiter? Its mass will increase. Its mass will decrease. Its weight will increase. Its weight will decrease. Write the expression [tex]sin(sin^-1 (\sqrt{3} / 2) - tan^-1 (x)[/tex] as an algebraic expression involving no trigonometric functions. You dont need to rationalize the denominator. Pls help (psychology) Juan experienced a ________ memory during therapy for depression. This type of memory is a memory that is formed, but never really happened. During his depression, he remembered many sad times in his life because of his mood and emotions. Juan experienced ________-dependent recall. His fingers were stiff, and it took him a long time to twist the lid off the holy water. Drops of water fell on the red blanket and soaked into dark icy spots. He sprinkled the grave and the water disappeared almost before it touched the dim, cold sand; it reminded him of somethinghe tried to remember what it was, because he thought if he could remember he might understand this. He sprinkled more water; he shook the container until it was empty, and the water fell through the light from sundown like August rain that fell while the sun was still shining, almost evaporating before it touched the wilted squash flowers. Which statement best describes the significance of the holy water in this excerpt? The "Iron Curtain": a. divided East and West Germany. b. separated the United States from the Soviet Union. c. divided North and South Korea. d. separated Japan from the rest of Asia. e. separated the free West from the communist East. Mr. Smith has a 4 in. wide by 6 in. long photo. He enlarges it so the new photo is 18 inches long. What is the area of the new picture?I need this fast As coal deposits were used up, Britain turned to?A. PeatB. Hydroelectricity C. Wood.D. Oil and gas. What integer values satisfy both inequalities?-2 2Thanks. 3 is to 15 as 4 is to what entre los 6 y los 12 aos un nio crece, en promedio, 5cm por ao. Si a los 6 aos Francisco media 0.96 m cuanto medira a los 10?