If we firstly consider only the terms in x.
subtract 2x from both sides of the equation
⇒5+2x
−2x=2x−2x
+6
Observe that the x terms are eliminated and we are left with
5+0=0+6 that is 5=6 which is invalid
There is no solution to this equation.
By taking the quotients between the areas, we see that:
<h3>
How to find the probabilities?</h3>
First we need to find the areas of the 3 shapes.
For the triangle, the area is:
T = 3*5/2 = 7.5
For the blue square, the area is:
S = 3*3 = 9
For the rectangle, the area is:
R = 10*6 = 60
Now, what is the probability that a random point lies on the triangle or in the square?
It is equal to the quotient between the areas of the two shapes and the total area of the rectangle, this is:
P= (7.5 + 9)/60 = 0.275
b) The area of the rectangle that is not the square is:
A = 60 - 9 = 51
Then the probability of not landing on the square is:
P' = 51/60 = 0.85
If you want to learn more about probability:
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The length of the painting is 1/4.
According to the statement
we have to find the length of the rectangular painting with the help of the given information.
So, For this purpose, we know that the
The given information is:
The area of a rectangular painting is 1/6 square yard. The width is 2/3 yard.
And we have to use the formula
Area = Length * Breadth
So, Substitute the values in it then solve
So,
Area = Length * Breadth
1/6= Length * 2/3
1/6 = 2L/3
1 = 12L/3
1 = 4L
L = 1/4.
The value of the length is 1/4.
So, The length of the painting is 1/4.
Learn more about area of a rectangle here
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Percent is 480% and the decimal is 2.8
