Answer:
, Terminating
Step-by-step explanation:
Mackenzie has 32 books and 12 of which are by her favorite author.
One of the easier ways to convert something to a decimal is to first start as a fraction. We need to have it be the number of books by her favorite author (12) out of the total number of books that she owns (32)
This in the form of a fraction would be 
Now, let us reduce this fraction.
Both terms can be divided by 4
Recall that 
This means that
As you can see. this decimal stops after 3 places, which means that it is terminating.
Answer:
<h2>A. the slope is 8.</h2><h2>A. the y-intercept is 1</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
y = mx + b
m - slope
b - y-intercept
We have the equation y = 8x + 1.
Therefore:
m = 8, b = 1
Ok, so let’s take the given phrase.
Eight more than the product of 3 and a number is -13. A translation to numbers looks like this:
3x + 8 = -13
Now, let’s solve for x. We can start the process by subtracting 8 from both sides.
3x = -21
now, we will divide each side by 3 to isolate the variable, thus solving for x.
x = -7
Answer: the system of equations that represents this situation are
12x + 6y = 180
x = 2y
Step-by-step explanation:
Let x represent the number of hardcover books that were sold in a day.
Let y represent the number of paperback books that were sold in a day.
The discount bookstore sells hardcover books for $12 and paperback books for $6. The total sales that day were $180. It means that
12x + 6y = 180
The number of hardcover books sold that day was twice the number of paperback books. It means that
x = 2y
The sum of two adjacent sides is 11 inches, so the long sides are 9 inches. The "unknown number" must be 12.
