1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zolol [24]
2 years ago
14

Pigs have 4 legs and chicken have 2 legs. If there are 24 heads and 80 legs, how many pigs and chickens are there?

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
7 0

Answer:

<h2><u><em>P = 16</em></u></h2><h2><u><em>C = 24-P = 8</em></u></h2>

Step-by-step explanation:

Heads: P + C = 24

C = 24 - P

Legs: 4P + 2C = 80

Substitute, from heads: 4P + 2 (24 - P) = 80

4P + 48 - 2P = 80

2P = 32

<u><em>P = 16</em></u>

<u><em></em></u>

<u><em>C = 24-P = 8</em></u>

====================

Check:

P + C = 16 + 8 = 24

4P + 2C = 4(16) + 2(8) = 64 + 16 = 80

You might be interested in
Negation "If it rains then I take an umbrella."
Ber [7]
This means that if it’s raining take an umbrella and go thru it regardless in life
8 0
2 years ago
A meatball recipe calls for 2 cups of breadcrumbs for every 5 cups of ground meat. How many cups of breadcrumbs are required for
Ghella [55]

Answer:

1/4 cup for every cup

Step-by-step explanation:

If you divide 2 by 5, you would get this answer. Sorry if it's wrong!

6 0
3 years ago
Choose one card value and its additive inverse. Choose from the list below to write a real-world story problem that would model
jonny [76]

Answer:

D

Step-by-step explanation:

5 0
3 years ago
Let f be the function given by f(x) = x+4(x−1)(x+3) on the closed interval [−5,5]. On which closed interval is the function f gu
Vlad [161]

Answer:

Step-by-step explanation:

f(x)=x+4(x^2+2x-3)=4x^2+9x-12

f'(x)=8x+9

f'(x)=0,gives x=-9/8

f(-5)=-5+4(-5-1)(-5+3)=-5+4*-6*-2=43

f(-9/8)=-9/8+4(-9/8-1)(-9/8+3)

=-9/8+4*-17/8*15/8

=-9/8-255/16

=-273/16=-17 1/16

f(5)=4*5^2+9*5-12=100+45-12=133

absolute maximum=133

absolute minimum=-17 1/16

6 0
3 years ago
Field book of an land is given in the figure. It is divided into 4 plots . Plot I is a right triangle , plot II is an equilatera
Kazeer [188]

Answer:

Total area = 237.09 cm²

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Field book of an agricultural land is given in the figure. It is divided into 4 plots. Plot I is a right triangle, plot II is an equilateral triangle, plot III is a rectangle and plot IV is a trapezium, Find the area of each plot and the total area of the field. ( use √3 =1.73)

From the figure attached,

Area of the right triangle I = \frac{1}{2}(\text{Base})\times (\text{Height})

Area of ΔADC = \frac{1}{2}(\text{CD})(\text{AD})

                        = \frac{1}{2}(\sqrt{(AC)^2-(AD)^2})(\text{AD})

                        = \frac{1}{2}(\sqrt{(13)^2-(19-7)^2} )(19-7)

                        = \frac{1}{2}(\sqrt{169-144})(12)

                        = \frac{1}{2}(5)(12)

                        = 30 cm²

Area of equilateral triangle II = \frac{\sqrt{3} }{4}(\text{Side})^2

Area of equilateral triangle II = \frac{\sqrt{3}}{4}(13)^2

                                                = \frac{(1.73)(169)}{4}

                                                = 73.0925

                                                ≈ 73.09 cm²

Area of rectangle III = Length × width

                                 = CF × CD

                                 = 7 × 5

                                 = 35 cm²

Area of trapezium EFGH = \frac{1}{2}(\text{EF}+\text{GH})(\text{FJ})

Since, GH = GJ + JK + KH

17 = \sqrt{9^{2}-x^{2}}+5+\sqrt{(15)^2-x^{2}}

12 = \sqrt{81-x^2}+\sqrt{225-x^2}

144 = (81 - x²) + (225 - x²) + 2\sqrt{(81-x^2)(225-x^2)}

144 - 306 = -2x² + 2\sqrt{(81-x^2)(225-x^2)}

-81 = -x² + \sqrt{(81-x^2)(225-x^2)}

(x² - 81)² = (81 - x²)(225 - x²)

x⁴ + 6561 - 162x² = 18225 - 306x² + x⁴

144x² - 11664 = 0

x² = 81

x = 9 cm

Now area of plot IV = \frac{1}{2}(5+17)(9)

                                = 99 cm²

Total Area of the land = 30 + 73.09 + 35 + 99

                                    = 237.09 cm²

7 0
3 years ago
Other questions:
  • Through which angle of rotation does the image of a regular pentagon coincide with its preimage?
    6·2 answers
  • A square patio has an area of 200 square feet. How long is each side of patio to the nearest 0.05?
    15·1 answer
  • Help please im confused
    13·1 answer
  • I need help with this 4 problems.please
    6·2 answers
  • What is the area of this figure?<br>21 cm<br>5 cm<br>14 am<br>27 cm<br>22 cm<br>7 cm​
    9·2 answers
  • Geometry question help
    11·1 answer
  • Part II: What is 5,290,000,000,000 written out in words? What is it in scientific<br> notation?
    9·1 answer
  • A straight line intersects the curved graph y=x^2-4x at the point where x=-1 and x=-2. Work out the equation of the straight lin
    5·2 answers
  • Joey had 3 cakes to sell at the school bake sale. 10 people wanted to buy the 3 cakes, so he decided to divide them up equally.
    15·2 answers
  • Please help i will give brainlist don't answer if you don't know it
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!