Write a proportion to represent the scenario. Then Solve.
1 answer:
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The percentage of the boys at the book fair is 6%
<h3>What is a percentage?</h3>Percentages are used in mathematics as a decimal ratio expressed in a fraction of 100. It is represented with a symbol known as %.
At a book fair, the ratio of adults to children are:
7 : 3
The total number of people at the book fair = 7 + 3 = 10
The percentage of adults are:
= 70% are adults
The percentage of children are:
= 30% are children
However, if from the children, 4 are girls and 1 is a boy.
The total number of children at the fair = 4 + 1 = 5
The percentage of girls are:
= 24%
The percentage of boys at the book fair is:
= 6%
Learn more about percentages here:
Answer:
The series CONVERGES with the sum being 6.25.
Step-by-step explanation:
Given that the geometric series is 10 - 6 + 3.6 - 2.16 + ....
So the first term of the geometric progression is, = 10
The second term of the geometric progression is = -6 =
× r = 10 × r
where r is the constant ratio.
Therefore r = = -0.6
The third term of the geometric progression, = 3.6 =
× r = -6 × -0.6 = 3.6
The fourth term of the geometric progression, = -2.16 =
× r = 3.6 × -0.6 = -2.16
So the above confirms that the series is indeed a geometric progression with first term, = 10 and constant ratio, r = -0.6
Now to find if the series converges or diverges we can take sum of the series from first term to infinity.
We can already infer that the series is convergent since the constant ratio, r = -0.6 which is less than 1.
So from the formula for the sum to infinity of a geometric progression, S, we get
S =
So the series is convergent with the sum being 6.25