Answer:
30 hens, 20 cows.
Step-by-step explanation:
Step one:
let the number of cows be x
and the number of hens be y
Each cow has 2 eyes, each hen has 2 eyes also.
the total number of eyes is
2x+2y
Each cow has 4 legs, each hen has 2 legs.
the total number of legs is
4x + 2y
Step two:
the number of legs exceeds the number of eyes by 40:
4x+2y - (2x+2y) = 40
open bracket
4x+2y-2x-2y=40
4x-2x=40
2x=40
Divide both sides by 2
x=40/2
x=20
Step three:
we know also that x = 2/3*y, so y = 3/2*x = 3/2 * 20 = 30
30 hens, 20 cows.
Check:
60 + 40 eyes = 100, 60 + 80 legs = 140legs.
Answer:
B. 15 ft^3
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = (1/3)Bh
where B represents the area of the base, and h represents the height.
The base is apparently a rectangle, so its area is the product of its length and width:
B = L·W = (4.5 ft)(4 ft) = 18 ft^2
Then the volume is ...
V = (1/3)(18 ft^2)(2.5 ft) = 15 ft^3
15 cubic feet of sand will be needed to fill the base.
Answer:
2)
Step-by-step explanation:
You don’t get how to do what?
8a
TSA = 2πrh + 2<span>πr^2
</span>TSA = 471 + 157 (or 150π + 50π)
TSA = 628 cm^2 (or 200π)
8b
628 x $3 = $1884
cost = $1884
8c.
V = πr^2h = π 5^ 5 (15) = 375π (or 1177.5 if use π = 3.14)