Answer:
5, 7, 9, 11
Step-by-step explanation:
Solve the inequality
w - 4 < 8 ( add 4 to both sides )
w < 12
w ∈ { 5, 7, 9, 11 }
<em>1172. 08 in²</em>
- <em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>A(prism) = 2(lw + lh + wh) - Ab(cylinder)</em>
<em>= 2(16*11 + 16*11 + 11*11) - πr²</em>
<em>= 2(176 + 176 + 121) - 3.14*16</em>
<em>= 2*473 - 50.4</em>
<em>= 946 - 50.24</em>
<em>= 895.76 in²</em>
<em>A(cylinder) = πr² + 2πr*h</em>
<em>= 3.14*16 + 2*3.14*4*9</em>
<em>= 50.24 + 226.08</em>
<em>= 276.32 in²</em>
<em>A(total) = 895.76in² + 276.32in² = 1172.08 in²</em>
<em>Good luck !</em>
Answer:
27 chocolate cake and 12 pecan cake
Step-by-step explanation:
Answer:
2x(3y-4x)
Step-by-step explanation:
6xy - 8x^2
Factor out the greatest common factor of 2x
2x*3y -2x*4x
2x(3y-4x)
Answer:
128
Step-by-step explanation:
Method A.
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
Method B.
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
