Given:
Per month fee = $55
One-time recital fee = $165
The equation represents the $495 total cost that Barbara paid to Dance Unlimited.

To find:
We need to find the number of month Barbara receive dance lessons from Dance Unlimited.
Solution:
We have,

Here, m is number of months. We need to isolate m.
Subtract 165 from both sides.


Divide both sides by 55.


The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.
Answer:
<em><u>see</u></em><em><u> </u></em><em><u>below</u></em><em><u>:</u></em><em><u>-</u></em>
Step-by-step explanation:

- Convert the mixed fractions into improper fractions.








Direct variation means that the line goes through the origin of the graph, so you know that the line must go through point (0,0). Using that along with the given point, you can find the slope of the line.
m =

m =

m =

m = 6
Now that you know the slope of the line you are looking for is 6, you can plug that into a point-slope form equation and find the equation of your line.
y - y_1 = m (x - x_1) Plug in either set of coordinate. I chose (3, 18).
y - 18 = 6 (x - 3) Use he Distributive Property
y - 18 = 6x - 18 Add 18 to both sides
y = 6x
The equation of a direct variation line that includes the point (3, 18) is
y = 6x.
Answer:
Cost price=100%
Step-by-step explanation: