If a number can be written or can be converted to p/q form, where p and q are integers and q is a non-zero number, then it is said to be rational and if it cannot be written in this form, then it is irrational.
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.
Hope this helps...
Answer:100
Step-by-step explanation:
Expand
x = 150 - 0.5x
Add 0.5x to both sides
x + 0.5x = 150
Simplify x + 0.5x to 1.5x
1.5x = 150
Divide both sides by 1.5
x = 150/1.5
Simplify 150/1.5 to 100
x = 100
You have a rectangular prism on your hands. The formula for the volume of a rectangular prism is
(B/2) • l
Where B is the area of the base, and l is the length.
If you notice, you do NOT have the height of the triangle. However, you know that it is an equilateral triangle. So, you may split the triangle into two. Once you do, you can see that it is a right triangle. It’s hypotenuse is 3. If you know your triangles, you will realize that this is a 30 60 90 triangle. Therefore, the height will be 1.5 * sqrt(3)
So, to get B...
3 * 1.5sqrt(3)
4.5sqrt(3)
(Divide by 2)
2.25sqrt(3)
O
(9sqrt(3))/4
Multiply by the length of the prism, 6
This is your final answer in fraction form
27
— 2^rt(3)
2
