Answer:
The number of books produced at which the costs from the two methods be the same is 4668 books
Step-by-step explanation:
Here, we have
For the first production method
Fixed cost = $65,054 and variable cost per book = $8.25
For the second production method
Fixed cost = $12,539 and variable cost per book = $19.50
Therefore, let the number of books at which the to methods cost the same be M, we then have
$65,054 + $8.25 × M = $12,539 + $19.50× M
Which gives
$65,054 - $12,539 = $19.50× M - $8.25 × M
$52515 = $11.25 × M
M = $52515/$11.25 = 4668 books.
Answer:
y = - 2x - 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, - 4) ← 2 points on the line
m =
=
=
= - 2
the line crosses the y- axis at (0, - 4 ) ⇒ c = - 4
y = - 2x - 4 ← equation of line
Step-by-step explanation:




Answer:
The expression that belongs in the box is 8 x 4
Option C is correct answer.
Step-by-step explanation:
We need to find Which expression belongs in the box?

The property applied here is associative property of multiplication.
Associative property of multiplication states that:

So, if we apply the property to our question we have:
a = 3
b = 8
c = 4
So, the expression will become: 
So, the expression that belongs in the box is 8 x 4
Option C is correct answer.
Answer:
-6 ≥ x
Step-by-step explanation:
x + 6 ≥ 12 + 2x
Subtract x from each side
x-x + 6 ≥ 12 + 2x-x
6 ≥ 12 + x
Subtract 12 from each side
6-12 ≥ 12-12x
-6 ≥ x