Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
Answer:
√308 or 17.5
Step-by-step explanation:
c^2=a^2+b^2
c^2-a^2=b^2
Substitute
18^2-4^2=b^2
324-16=b^2
b^2=308
b=√308 or b=17.5
Answer:
13.5
Step-by-step explanation:
72/(16/3)
<h2>20</h2>
Hi, I’m Lena and I’ll be here to answer your question with a good-quality answer. If there's something I can improve, let me know! ツ
♡ Let’s look at the main important things that will lead you in the correct path.
♥ <em>a </em>+<em> b</em> usually = <em>c!</em> Unless the book asks you to find a specific variable, you will most likely be looking for <em>c</em>.
♥ <em>A</em> = <em>bh</em>/2! This is the formula for the area of a triangle. You can also read this as A = base * height/2. The good thing about this formula is you don't need a picture. You can write it as <em>a</em> * b<em> </em>or <em>b</em> * <em>a!</em>
<em />
♡ Now, let's solve!
♥ Plug the numbers into the formula: 5*8/2.
♥ Solve! In this case, we do not need c: 40/2 = 20.
Your answer should be 20! Please do not hesitate to ask me any questions.
