Answer:
52
Step-by-step explanation:
W====~~~
Answer: A
Step-by-step explanation: if you want me to explain just comment
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
Step-by-step explanation:
Annie = x
Brianna = y
Carly = z
Now,
x + y + z = 105 ...(1)
Carly has sold ten more than three times Brianna's sales.
z = 10 + 3y ...(2)
Brianna sold five more than Annie.
y = 5 + x ...(3)
Now,
z = 10 + 3y
z = 10 + 3(5 + x)
z = 10 + 15 + 3x
z = 25 + 3x
Now,
x + y + z = 105
x + (5 + x) + 25 + 3x = 105
5x + 30 = 105
5x = 105 - 30
5x = 75
5x/5 = 75/5
x = 15
So,
y = 5 + x
y = 5 + 15
y = 20
Now,
z = 25 + 3x
z = 25 + 3(15)
z = 25 + 45
z = 70
Thus,
Annie Sold 15 boxes
Brianna Sold 20 boxes
Carly Sold 70 boxes
For the last 2 questions,
1. 9/10
2. 7/12
