Step-by-step explanation:
-k + 4(k + 1) = 2k
-k + 4k + 4 = 2k
-k + 4k - 2k = -4
(-1 + 4 - 2)k = -4
k = -4
Answer:
let w = amt of water required
:
An equation based on the the percent water, an 80% solution is 20% water.
.20(320-w) + w = .50(320)
64 - .2w + w = 160
.8w = 160 - 64
w = 96%2F.8
w = 120 gal of water to produce 320 gal of 50% antifreeze
:
320 - 120 = 200 gal of 80% solution
Water: _120___ gallons
Premium Antifreeze: __200___ gallons
Step-by-step explanation:
The first claim,
"If 2<em>n</em> + 4 is even, then <em>n</em> is even"
is false; as a counterexample, consider <em>n</em> = 1, which is odd, yet 2•1 + 4 = 6 is even.
The second claim,
"If <em>n</em> is even, then (<em>n</em> + 3)² is odd"
is true. This is because
(<em>n</em> + 3)² = <em>n</em> ² + 6<em>n</em> + 9
<em>n</em> ² + 6<em>n</em> is even because <em>n</em> is even. 9 is odd. The sum of an even and odd integer is odd.
Btw I got this answer from gauth.math
answer: 224.4
A cube is a 3d object bounded by 6 square faces.
Each side of the display case is 3 times longer than the width of the artifact.
width of the artifact = w
side of the cube = 3w
<span>a. Write an expression for the volume of the case.
volume of a cube is the measure of its side raised to the power of 3.
Volume = (3w)</span>³
<span>Volume = 27w</span>³<span>
</span>
