Answer:
$8036.784
Step-by-step explanation:
It is easy
The area of carpet is 13.4×24=321.6sq meter
Now, for 1 sq. meter the cost is $24.99
So for 321.6sq.meters, 321.6×24.99
=$8036.784
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:
x=-17,y=3
Step-by-step explanation:
x+y=-14
x=x
y=x+20
x+(x+20)=-14
2x+20=-14
2x=-14-20
2x=-34
x=-34/2
x=-17
y=-17+20
y=3
Answer:
The percent is 26%
Step-by-step explanation:
189 divided by 150 is 1.26 but since the original price is $150 the percent is 100% and 189 is 126% so the percent difference is 26%.
