There are 7 sides available.
The fundamental counting principal tells us to find the total number of combinations of independent items, multiply the number of choices from each one (choices x choices x....)
This means that drink x sides x sandwiches = 560. We know there are 16 sandwiches and 5 drinks. Let S be the number of sides:
15(6)(S) = 560
80S = 560
Divide both sides by 80:
80S = 560/80
S = 7
Answer: 27434
Step-by-step explanation:
Given : Total number of vials = 56
Number of vials that do not have hairline cracks = 13
Then, Number of vials that have hairline cracks =56-13=43
Since , order of selection is not mattering here , so we combinations to find the number of ways.
The number of combinations of m thing r things at a time is given by :-

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

Hence, the required number of ways =27434
The second place runner had already completed 320 meters when the winner crossed the finish line
Answer:
Graph y = 2x
Step-by-step explanation:
First, let's get the equation into standard form. Distribute the 2 on the right.

Next, we want the variable "y" to be alone, so we at 4 to both sides.

That is our equation in standard y = mx + b form. "m" is our slope, while "b" is our y-intercept. Above , we don't have a value for b, therefore the line passes through the origin.
We do, however, have a slope, which can be thought of as
or rise over run. To represent this, we can rewrite our slope as:

Meaning in each interval, the line goes up by 2 units, and moves forward by 1.