Answer:

Step-by-step explanation:
1. Use the distributive property
5 ( x - 7 ) = 6 ( x + 2 ) → 5x - 35 = 6x + 12
2. Subtract 5x from both sides of the equation
5x - 5x -35 = 6x - 5x + 12 → -35 = x + 12
3. Subtract 12 from both sides
-35 - 12 = x + 12 - 12 → -47 = x
4. So, the answer is

Ok so to solve this problem we're going to need to find out how much money they made (their revenue) and the subtract the cost of paying the employees.
So, let's start by finding their revenue
Step 1: Multiply the cost of each beverage by the number sold
Coffees: 20 x 2.85 = 57
Lattes: 17 x 4.80 = 81.6
Step 2: add up the money made from the coffees and the money made from the lattes to get the total revenue
57 + 81.6 = 138.6
So the shop made $138.60 on Tuesday. Let's set that aside while we find out how much the shop's costs were.
Step 3: Find the price of paying two employees for 6 hours
2 x 6 x 14.5 = 174
So the shop had to pay the employees $174.00 for working there.
Step 4: Find the overall profit/loss by subtracting the cost from the revenue
138.6 - 174 = -35.4
So the shop had a loss of $35.40 on Tuesday.
Hope that helps! Feel free to leave a comment or send me a message if I can clarify anything :)
Answer:
Option C.
Step-by-step explanation:
It is given that radius of circle X is 6 units and radius of circle Y is 2 units.
Here, circle Y is smaller and circle X is larger.
If we translate the circles so they share a common center point, and after that we dilate circle Y by a scale factor of 3, then we get circle which is equal to circle X.
We know that, after dilation the figure and its image are similar.
Hence, we can say that both circles are similar.
Therefore, the correct option is C.
Answer:
k = 3/7
Step-by-step explanation:
121212kkk = 848484
divide each side by 121212
kkk = 7
3k = 7
k = 3/7