<span>A) Goats that weigh exactly 50 or 60 pounds fall into two classes. would be the right answer</span>
Answer:
8
Step-by-step explanation:
16=x
16 square root is 4
16=4
x2
(4)2= 8
All students in each grade
audience: <u>students</u> - counts for both boys and girls.
option (B) for teachers is irrevelant.
option (C) doesn't include girls.
option (D) doesn't include the entire school
Hence, option A is correct.
Let
x------> the length side of the square base of the box
y-------> the height of the box
we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²--------> equation 1
<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>
surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x
step 1
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm
the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm
Answer:
13 cents, 17 cents, Brand A
Step-by-step explanation:
The unit price is the price of a single pencil. You can find that by dividing the total price by the number of pencils.
Brand A= $2.36/18= $0.13
Band B= $4.09/24= $0.17
0.13 < 0.17
Brand A is cheaper because the price per pencil is less.