Answer: Ruth have to make 7 hats to break even.
Step-by-step explanation:
Break even point is a point where Cost = Revenue.
Let x be the number of hats sold.
Given: Cost of booth = $63
Each hat cost = $10
Selling price for each cost = $19
As per given,
Total cost = Cost of booth+ (Cost of each hat)(Number of hats)
= 63+10x
Total selling price = 19x
For break even,
63+10x=19x
9x=63
x=7
Hence, Ruth have to make 7 hats to break even.
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:

We find the slope of the line:

Thus, the equation of the line is of the form:

We substitute one of the points and find b:

Finally, the equation is:

Answer:

Answer:
A, 1,2
Step-by-step explanation:
we translate it first into language of math
we use n for the number
n² = 3n - 2
then, do some algebra things
n² - 3n + 2 = 0
then factorize it
(n - 2)(n - 1) = 0
first n
n - 2 = 0
n = 2
2nd n
n - 1 = 0
n = 1
so n can be 1 or 2
Correct answer: A) A = the card is red, B = the card is black
Because mutually exclusive means "cannot occur simultaneously."
The other choices all can occur together.
Answer:
Option C: 6(7 * 7)
Step-by-step explanation:
There are six faces of the cube. Since each face is 7 by 7 units, there are 6(7 *7) units total.