<em>kx</em> + <em>z</em> = 3 means <em>z</em> = 3 - <em>kx</em>. Substitute this into the first two equations:
<em>x</em> + <em>y</em> + 3 (3 - <em>kx</em>) = 10 ==> (1 - 3<em>k</em>) <em>x</em> + <em>y</em> = 1
-4<em>x</em> + 3<em>y</em> + 5 (3 - <em>kx</em>) = 7 ==> (-4 - 5<em>k</em>) <em>x</em> + 3<em>y</em> = -8
Multiply through the first equation by -3 :
-3 ((1 - 3<em>k</em>) <em>x</em> + <em>y</em>) = -3 (1) ==> (-3 + 9<em>k</em>) <em>x</em> - 3<em>y</em> = -3
Add this to the second equation to eliminate <em>y</em> :
((-3 + 9<em>k</em>) <em>x</em> - 3<em>y</em>) + ((-4 - 5<em>k</em>) <em>x</em> + 3<em>y</em>) = -3 + (-8)
(-7 + 4<em>k</em>) <em>x</em> = -11
Normally, you would solve for <em>x</em> by dividing both sides by -7 + 4<em>k</em>. But you can't do that if this turns out to be equal to 0, which happens for
-7 + 4<em>k</em> = 0 ==> <em>k</em> = 7/4
It kinda depends on the grade scaling and what percent of your grade test are worth. But I'm guessing it would drop down to a 70% or more.
Answer:
3 cups
Step-by-step explanation:
1 cup is 8 ounces
Complete question :
Tim used the expression below, n³ where n represents side length, to determine the volume of a cube. Using this
expression, what is the volume of a cube with side length 3.5 inches? Show your work.
n?
Answer:
42.875 cubic inches
Step-by-step explanation:
Given that :
The formula to obtain the volume of a cube is n³ ; where n = side length of the cube.
The side length of a certain cube is given as = 3.5 inches.
The volume of the cube is calculated thus :
Volume = n³ = 3.5³
Volume = (3.5 * 3.5 * 3.5) inch³
Volume = 42.875 in³
