14x30=520. So, 520 divided by 24 = 21.6 . So, that means that you will need 22 packages of balloons and you will have 8 left over
Answer:
It is proved that if
is even the n is even.
Step-by-step explanation:
Given n is any integer.
To show
is even then n is even.
Proving by contrapositive suppose
is odd. Then we need to show n is odd.
Then, letting k is a ny integer,
Now since (2k+1) is odd therefore n is odd.
Conversly let n is odd, then,

since 2k+1 is odd so
is odd.
This proves, if n is even then
is even.
In this question, x represents years. The y represents how much employees are paid. Since the slope is positive, it is rising on both the x- and y-axis. If you were to graph this equation, you would see that, when an additional year passes, $0.65 is added to the employee's hourly wage from the original $5.15 (which is the y-intercept)
So the answer is B. An additional year of service is associated with an additional $0.65 per hour.
Answer:


Step-by-step explanation:
In order to find the equation for these graphs, we have to note what forms a line.
The slope: Which is just the rise of the line over the run - how much it increases in y over how much it increases in x.
The y-intercept: Where does the graph intersect the y-axis?
Fortunately, there's a type of formula commonly used that includes both of these - slope-intercept form. It is written in the form
, where m is the slope and b is the y-intercept.
<em>For number 1</em><em>:</em>
We can see that the graph intersects the y-axis at 1. So the y-intercept is 1, aka b = 1.
We can also see that for every 1 decrease in y, x increases by 2. <em>This is where the two dots come in useful</em>.<em> </em> This means our change in y is -1 and our change in x is 2. Since slope is rise over run, we can divide it.

Now that we know the slope and the y-intercept, we can plug these values into
.

<em>For Number 2:</em>
Same logic applies. The graph intersects the y-axis at 0, so b = 0, aka we don't need to include that term in the end equation.
We can see that when x increases by 2, y increases by 3. Since the slope is rise over run, the slope is
.


Hope this helped!