Answer:
2. Addition property of inequality. You're adding 6x to both sides.
3. 4x = 28
4. 4x/4 = 28/4 Justification: Division property of inequality
You're dividing both sides by 4.
5. x = 7
Hope that helps.
Answer:

Step-by-step explanation:
Let
x -----> the number of minutes
y ----> the balloon's height in feet
we know that
The linear equation in slope intercept form is equal to

where
m is the slope
b is the y-coordinate of the y-intercept
In this problem we have that
The slope is equal to
----> is negative because is a decreasing function

Remember that the y-intercept is the value of y when the value of x is equal to zero
In this context the y-intercept is the height of the balloon when the time is equal to zero (initial height)
substitute

5n = 3(n + 2) + 10
5n = 3n + 16
12n = 16
n = 8
8 is smaller integer and 10 is the larger.
It is 16 because 3x16=48 and 4x16=64!
Answer:
Total profits = 49.50n
Step-by-step explanation:
Cost of each quilt = $30.50
Selling price of each quilt = $80
Profits = selling price - cost price
= $80 - $30.50
= $49.50
Profits = $49.50
If n = number of quilts she sells
which expression could be used to represent her total profits?
Total profits = profits of each quilt × number of quilt sold
= $49.50 × n
= 49.50n
Total profits = 49.50n