Answer:

Step-by-step explanation:
A 180 counterclockwise rotation of (5, 4).
The transformation rule is as follows:
turns into
.
Answer:
110 students
Step-by-step explanation:
The number of students who have only taken calculus is given by the number of students who have taken calculus minus the students who have taken both classes:

The number of students who have only taken discrete mathematics given by the number of students who have taken discrete mathematics minus the students who have taken both classes:

The number of students that have taken a course in either calculus or discrete mathematics is:

Answer:
6xy² + 10y²z is the product answer
Step-by-step explanation:
26 is the answer
because its counting by 6
EZ!
Let's say each box costs $X and each program costs $Y
Thus, Mike's family spent:
$(5X+3Y)
or
$41
Sean's family spent
$(3X+2Y)
or
$26
This yields us a system of two equations:
5x+3y=41
3x+2y=26
<span>5x+3y=41
</span>2y=26-3x
<span>5x+3y=41
</span><span>y=13-1.5x
</span>
5x+3(13-1.5x)=41
y=13-1.5x
5x+39-4.5x=41
<span>y=13-1.5x
</span>
0.5x+39=41
<span>y=13-1.5x
</span>
0.5x=2
<span>y=13-1.5x
</span>
x=4
<span>y=13-1.5x
</span>
x=4
<span>y=7
</span>
Each box costs $4 and each program costs $7