If two marbles are randomly selected from the bag without replacement, what is the probability that the first marble is blue?
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In measurement problems such as these, we can use proportional relationships to determine the length or measure of triangular sides.This works because the two figures are similar. Our proportion is going to have a variable since we do not know the height of one of the flagpoles. It will be set up as such:
= 
We cross multiply, then divide to solve this proportion.
32 x 5 = 160.
160/8 = 20.
This means the height of the flagpole is 20 feet high. To fit the height of the flag pole, the cord the school should buy for the flagpole should be 20 feet long.
We cross multiply, then divide to solve this proportion.
32 x 5 = 160.
160/8 = 20.
This means the height of the flagpole is 20 feet high. To fit the height of the flag pole, the cord the school should buy for the flagpole should be 20 feet long.
<h3><u>Question:</u></h3>
Name the property the equation illustrates
(ab)3 = a(b3)
A. Commutative property of addition
B. Associative property of Multiplication
C. Associative Property of Addition
D. Inverse Property of Multiplication
<h3><u>Answer:</u></h3>Associative property of Multiplication
<h3><u>Solution:</u></h3>From given equation
(ab)3 = a(b3)
We have to find the property used here
We find the brackets are interchanged
So here, given is a multiplication equation
Therefore, Associative property of Multiplication is used
<h3><u>Associative property of Multiplication:</u></h3>This property says that when we are multiplying it does not matter where you put the parenthesis
The result will be same wherever we put the parenthesis in multiplying two or more numbers
Which means,
Therefore, from given,
Thus associative property of multiplication is used