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never [62]
3 years ago
8

A farmer has 18 animals (cows and chickens). He counts 60 legs. How many chickens does he have?

Mathematics
2 answers:
Leona [35]3 years ago
5 0
Chickens have 2 legs and cows have 4
algol [13]3 years ago
5 0
To do this problem, you have to make what is called a "system of equations" (2 related equations). One will relate to the number of chickens and cows, the other will relate to the numbers of legs. But in both equations, the variables "x" and "y"  will be the number of cows (x) and number of chickens (y)

You know that the farmer has 18 total animals, so x + y = 18.
You know that cows have 4 legs and chickens have 2 legs, and the 18 cows and chickens have 60 legs total, so 4x + 2y = 60.

Now, to "solve" the system of equations, you can take the simpler equation x+y = 18, and simplify it, to stand in for variables.
Since we want to find y, the number of chickens, let's make this equation = x.
So, it is now x = 18 - y.

Now you can take 18-x and put it into the OTHER equation to stand in for y, so that you can solve for y.

4(18-y) + 2y = 60

Distribute around the parentheses...

72 - 4y + 2y = 60

Combine the y's.

72 - 2y = 60

-72 from both sides

-2y = -12

Divide by -2!

y = 6

So, there are 6 chickens.

And, if you wanted to find the number of cows, you can plug the value for y into the equation again... 6 + x = 18 and solve for x.

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In triangle EFG, m of E = 30 degrees, m of F = 60 degrees, and m of G = 90 degrees. Which of the following statements about tria
Effectus [21]

Answer:

A. EG = √3 × FG

D. EG = √3/2 × EF

E. EF = 2 × FG

Step-by-step explanation:

∵ tan 60 = √3

∵ tan60 = EG/GF

∴ EG/GF = √3

∴ EG = √3 × GF ⇒ A

∵ m∠F = 60°

∵ sin60 = √3/2

∵ sin 60 = EG/EF

∴ √3/2 = EG/EF

∴ EG = √3/2 × EF ⇒ D

∵ cos60 = 1/2

∵ cos60 = GF/EF

∴ GF/EF = 1/2

∴ EF = 2 × GF ⇒ E

8 0
3 years ago
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Nico wanted to determine the number of students in his school who buy school lunch he walked around the cafeteria one lunch peri
nalin [4]
I'm pretty sure the answer is D observational study.

4 0
3 years ago
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3x + 8 < 4(x - 3)Solve the inequality and graph the solution set.
solmaris [256]

Step-by-step explanation:

3x+8<4x−12

Move all terms containing x

to the left side of the inequality.

Tap for more steps...

−x+8<−12

Move all terms not containing x

−x<−20

x>20

Interval Notation:(20,∞)

7 0
3 years ago
The perimeter of an isosceles triangle is 62 cm. the equal sides are four less than the base. determine the length of each side
Len [333]
X + 2(x - 4) = 62
x + 2x - 8 = 62
3x - 8 = 62
3x = 70
x = 23 1/3 cm
7 0
3 years ago
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Line one has the equation 7x - 4y = - 28 and line two
Pie

7x - 4y = -28

3x +4y = -12

Using the elimination method because y is already eliminated

10x = -40

So x = -4

Then plug the -4 into the first equation....

7(-4) - 4y = -28

-28 - 4y = -28

-4y = 0

y = 0

I got:  -4,0

4 0
3 years ago
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