Find the number of cookies:

Since 1 dozen = 12:

Change to improper fraction:

Simplify:

18 cookies were sold in 1/3 hour:



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Answer: Unit rate for cookies sold = 54/hour------------------------------------------------------------------
If Lana's age is L, her youngest sister is L/2 (or 0.5L) and the twins L-2. Add all these together (remember that there are two sisters who are L-2 years old):
0.5L + L-2 + L-2 + L = 45
Simplify the L's by adding them all together, we get:
3.5L - 2 - 2 = 45
3.5L - 4 = 45
Now add 4 to both sides:
3.5L = 49
Now divide both sides by 3.5
L = 49/3.5 = 14. Now we know that Laura is 14, so her youngest sister must be 7.
Answer:
Option B. MN/MO
Step-by-step explanation:
In a right angle triangle cosine of any acute angle = Base/ Hypotenuse
In the ∠ NMO Hypotenuse is MO and base of the triangle is MN.
Therefore cos (M) = Base / Hypotenuse = MN / MO
Therefore option B is the right answer.
The equation to represent the relationship of the weights shown on the scale s 
The weights are given as:


The total weight on one side, where there are 4 small squares and 3 large squares is:



The total weight on the other side, where there are 2 small squares, 2 large squares and 1 triangle is:





The weight of the triangle is x.
So, we have:

The weights on both sides are equal, because the scale is balanced.
So, we have:

Hence, the equation is 
Read more about equations at:
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