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.

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Related Questions

Need help with these bad

Answers

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

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 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:

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

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'

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.

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

Answers

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

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Thus the correct answer is (( D )) .

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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?

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

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,

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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

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

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

Answers

Answer:

maybe try A

Step-by-step explanation:


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

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

(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

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

Answers

Answer: no

Step-by-step explanation:

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

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

please help with the problem above

Answers

Answer:

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

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 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!

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

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]

why do math exist in school?​

Answers

Answer: I have no idea

Step-by-step explanation:

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

Answers

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

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.

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?

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:

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....✌

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