Answer:
The number is 12
Step-by-step explanation:
If 15 is three more than the number is three less so you do, 15 - 3 which is 12.
I hope this helps
For this case, the first thing we must do is define variables:
x: number of pillowcases
y: number of sheets
We now write the system of equations:
2x + 5y = 40
x = 2y
Solving the system we have:
x = 8.9
y = 4.4
Answer:
The maximum number of pillowcases she could have purchased is:
x = 8 (spent less than $ 40)
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:
-5/3 is less than (<) square root of 3
Step-by-step explanation:
-5/3 = -1.66666...
square root of 3=1.73205080...
either way the square root would be greater because the answer cant be negative. And negative is always less then a positive.
Hope this helps!
