To solve this we are going to find the least common multiple of 8 and 12.
Remember that the least common multiple (LCM) of tow or more numbers is the smallest positive number that is multiple of those two or more numbers.
To find our LCM we are going to list the multiples of 8 and 12, and then, we are going to select the first common number in those lists:
Multiples of 8: 8,16,24,32,40,....
Multiples of 12: 12,24,36,48,...
Notice that the first common value between the two list is 24, and that is precisely the number of days it will take for drawing sessions to coincide.
We can conclude that after 24 days both<span> art studios will start a new drawing session on the same day.</span>
Answer:
look below
Step-by-step explanation:
Answer:
Step-by-step explanation:
8.) For a triangles sides to make sense, you must be able to add up two values of the triangle, and the result should be more than the third side. Add the lowest values and see if the result is greater than the biggest number:

12.1 is less than the given side, 13.3, so a triangle cannot have the lengths.
10.) 6<x<22
To find the range for the third side of the triangle, you need to find how small x can be (the missing side) and you need to see how large it can be.
You need to see how small it can be because any two sides have to be greater than the third side. You also need to see how big it can be because, if it's too big, the other two sides will be less than the third side, which would make an open shape (see picture).
To find the range, first see how small. Subtract the known sides:

So, x has to be greater than 16.
x > 16
Now add the known sides:

x needs to be less than 28 for the other two sides to be greater than x:
x < 28
Insert the inequalities into a single inequality:
16 < x <28
X has to be greater than x, but less than 28.
Let
x------> the number of multiple choice question
y------> the number of free response question
we know that
-----> equation A

-----> equation B
Substitute equation B in equation A
Find the value of x


therefore
<u>the answer is</u>
the number of multiple choice question are 
the number of free response question are 
To find the lateral area you will find the area of all 4 faces that are perpendicular to the base.
You will multiply the side by the length (front/back) and the side by the width (sides).
12 x 8 = 96
12 x 2 = 24
120 square inches x 2 = 240 square inches
The lateral area is 240 square inches.
The area of the base is 8 x 2 = 16 square inches.
16 x 2 = 32 square inches
240 square inches + 32 square inches = 272 square inches is the surface area.