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
ratelena [41]
3 years ago
9

A barn has 11 heads and 36 legs. How many are chicks and how many are pigs

Mathematics
2 answers:
Helen [10]3 years ago
7 0

answer is 7 pigs and 4 chicks

pigs' legs =     7 x 4 = 28

chicks' legs =  4 x 2 = 8

28 + 8 = 36 legs

Pepsi [2]3 years ago
7 0

c = amount of chickens

p = amount of pigs


now, let's recall that chicken have two legs, and pigs have four legs, whatever "c" is, the amount of legs for all chicken is 2*c, or 2c.

the amount of legs for pigs is 4*p or 4p.

we know there are 36 legs total, therefore 2c + 4p = 36.

we also know that there are 11 heads, since each only has one head, then c + p = 11.


\bf \begin{cases}
2c+4p=36\\
c+p=11\implies \boxed{p}=11-c
\end{cases}~\hspace{5em}\stackrel{\textit{using \boxed{p} in the first equation}}{2c+4\left( \boxed{11-c} \right)=36}
\\\\\\
2c+44-4c=36\implies -2c=-8\implies c=\cfrac{-8}{-2}\implies \blacktriangleright c=4 \blacktriangleleft
\\\\\\
\stackrel{p=11-c}{p=11-4}\implies \blacktriangleright p=7 \blacktriangleleft

You might be interested in
Please help<br><br> 23 - 7 3/5
kompoz [17]

Answer:15 2/5

Step-by-step explanation:

23 - 7 = 16

16 - 3/5 → 15 5/5 - 3/5 = 15 2/5

6 0
3 years ago
Find all solutions in the interval (0,2pi) you should get kpi and pi/4 but how do you get there
Ket [755]

Add sin(x) to both sides

tan(x)sin(x)=sin(x)

Divide sin(x) from both sides

tan(x)=1

now you just have to figure out where tan(x)=1. you can figure this out from there by looking at the unit circle.

4 0
3 years ago
Find the value of the missing coefficient a in the equation y = a(x - 3)(x + 5) if the graph goes through the point (1, -6)
horrorfan [7]

Answer:

3

Step-by-step explanation:

you have to solve for x then you can find the coeeffiecnt

3 0
2 years ago
Enter the values for the highlighted variables that
iris [78.8K]

Answer:

Step-by-step explanation:

Enter values of which highlighted variable?

4 0
3 years ago
What is the exact volume of the cone?
zlopas [31]

Answer:

The third choice, (160/3)π cm³

Step-by-step explanation:

The formula for volume of a cone is

V = (1/3)πr²h   where r is the radius of the base, and h is the height

Here, r = 4 and h = 10. plug those values in and simplify...

V = (1/3)π(4²)(10)

V = (1/3)π(16)(10)

V = (1/3)π(160)

V = (160π)/3

4 0
3 years ago
Other questions:
  • What is 5000 g equal to in kilograms?
    5·2 answers
  • The store has 28 notebooks in packs of 4. Three packs of notebooks are sold. How many packs of notebooks are left?
    11·2 answers
  • About 56% of the 2553 students are in rolled in at least one honors classes how many students are in rolled in an honors class
    5·2 answers
  • The area of the conference table in Mr. Nathan’s office must be no more that 175 ft^2. If the length of the table is 18 ft more
    14·1 answer
  • I Need some help with this answer :)))))
    14·1 answer
  • In the diagram, angle 1 = 4x + 30, and angle 3 = 2x +48.
    5·1 answer
  • Solve each equation.<br> 1/3a = -5 a = ?<br> 12 - b = 12.5 b = ? <br> -0.1 = -10c c = ?
    7·1 answer
  • 6x-4y=48 get x by itself
    11·2 answers
  • What percent of 56 is 224?
    13·2 answers
  • Find X FIND Y<br> PlEase Help me
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!