Answer:
m = rise / run = 1/7
Step-by-step explanation:
Recall that the slope of a line is m = rise / run.
Here we look at x first (to calculate the run): x begins at -7 and ends at 0. Thus, the run is 0 - (-7), or 7.
Now look at how y behaves (find the rise): y begins at 0 and ends at 1. Thus, the rise is 1.
Therefore the slope of the line connecting the two poings given is
m = rise / run = 1/7
By solving a system of equations, we will see that you must use 6.67 pounds of chocolate-covered almonds.
<h3>
How to solve the system of equations?</h3>
First, we need to define the two variables:
- x = number of pounds of the $9.99 chocolate-covered almonds used.
- y = number of pounds of the $5.99 chocolate-covered raisins used.
If we mix that, we will get:
x*$9.99 + y*$5.99 = (x + y)*C
That equation means that the cost of the individual elements of the mixture, must be equal to the total cost of the mixture. Where C is the cost of each pound of the mixture, and we know that:
C = $8.75
y = 3
Replacing that, we get:
x*$9.99 + 3*$5.99 = (x + 3)*$8.75
Now we can solve that for x:
x*$9.99 - x*$8.75 = 3*$8.75 - 3*$5.99
x*$1.24 = $8.28
x = $8.28/$1.24 = 6.67
Then you must use 6.67 pounds of the chocolate-covered almonds.
If you want to learn more about systems of equations:
brainly.com/question/13729904
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Answer:
-20x + 15
Step-by-step explanation:
