Answer: $2.81
Step-by-step explanation:
Pencils: 5 * 0.69 = 3.45
Notebooks: 3 * 2.75 = 8.25
pocket dictionary: 5.49
3.45 + 8.25 + 5.49 = 17.19
20 - 17.19 = 2.81
Therefore, she will get $2.81 change back.
Given:
The system of equations is


To find:
The missing value for which the given system of equations have infinitely many solutions.
Solution:
Let the missing value be k.
We have,


Taking all the terms on the left side, the given equations can be rewritten as


The system of equations
and
have infinitely many solutions if

We have,


Now,



On cross multiplication, we get


Therefore, the missing value is -10.
Answer:

Step-by-step explanation:
Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to
and
(doesn't matter which you assign) and use the slope formula:

Let:

The slope is equal to:

Therefore, the slope of this line is -1. In slope-intercept form
,
represents slope, so one of the lines must have a term with
in it, which eliminates answer choices A and D.
For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

Using the slope formula:

Thus, the slope of the line is 1/3 and the other line must have a term with
in it, eliminating answer choice C and leaving the answer 
*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into 
Answer:
yes
Step-by-step explanation: