Answer:
<u>44 cows and 36 ducks.</u>
Step-by-step explanation:
x is ducks and y is cows.
Assuming both have 1 head each, we can write:
x + y = 80.
Let's assume each x(cow) has 4 legs and each y(duck) has two legs.
Then we can add the numbers of legs:
2x + 4y = 248 legs
Now rearrange x + y = 80 to:
x = 80-y
and substitute:
2x + 4y = 248 legs
2(80-y) + 4y = 248 legs
160 - 2y + 4y = 248 legs
2y = 88 legs
<u>y = 44 [There are 44 cows]</u>
Use this value to find the number of ducks:
x + y = 80
44 + y = 80
<u>y = 36 [There are 36 ducks]</u>
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Check:
Do 44 cows and 36 ducks have a total of 248 legs?
4*44 + 2*36 = 248 ?
176 + 72 = 248?
<u>YES</u>
Answer:
-√5/2
Explanation: I took the quiz.
The costs equal one another at approximately 2450 units. After that, you can see that the revenue line has a much steeper slope than the cost line and that means that revenue is greater than the costs after the point where they intersect. They begin to make a profit after 2450 units are produced.
Answer:
Area: 28.26ft², Circumference: 18.84ft
Step-by-step explanation:
Area of a circle: πr²
Circumference of a circle: πd (or 2πr)
Since the diameter is 6ft, then the radius is half of that, which is 3ft. This means that our area is:
πr²
π(3)²
π(9)
9π
9(3.14)
28.26ft²
Our circumference is:
πd
π(6)
6π
6(3.14)
18.84 ft
Answer:
x^2 + y^2 <= 4, 0 <= z <= 8
Step-by-step explanation:
- Region that lies on/below the plane means Z<=8
- Region that lies on/above the xy plane means Z>=0.
Combining 1 and 2, we get
0<=Z<=8
If we want disk of radius 2 in x-y plane to be centered at origin the inequality becomes:
x^2 + y^2 <= 4
