For a game, three people are chosen in the first round. Each of those three people chooses 3 people in the second round. How many are chosen the sixth round.

Answers

Answer 1
Answer:

Answer:

Number of people chosen in the sixth round is 729                  

Step-by-step explanation:

Given : For a game - 3 people are chosen in first round then each of three chooses 3 people in the second round ans so on.

To find : How many are chosen the sixth round.

Solution : We know,

In first round 3 people choose ⇒no. of people =3

In second round 3 people individually choose 3 people ⇒no. of people = 9

since the number of people chosen with a constant amount forming a geometric series

Geometric series - A sequence of numbers where each term after the first is found by multiplying the previous one by a fixed also called as common ratio.

General form: a,ar,ar^2,ar^3......

and n-th term of geometric series is a_n=ar^(n-1)

where a - first term , r- common ratio and n-number of term

For the sixth round -  a=3, r=3 , n=6

a_n=ar^(n-1)

a_6=3*3^(6-1)

a_6=3*3^(5)

a_6=3^6=729

Therefore, number of people chosen in the sixth round is 729


Answer 2
Answer: In the sixth round 729 people are chosen.

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What is the percent of increase from 50 to 90

Answers

A percentage is a way to describe a part of a whole. The percentage of increase from 50 to 90 is 80%.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The percent of increase from 50 to 90 is,

= (90-50)/50 × 100%

= 40/50 × 100%

= 0.80 × 100%

= 80%

Hence, the percentage of increase from 50 to 90 is 80%.

Learn more about Percentages:

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The raw increase from 50 to 90 is 40.
So the question is how much of 50 is 40?

Let's divide the two: 40/50 = .8

So 40 is .8 of 50. But what is .8 in percentage form?

.8 x 100 = 80%

So the move from 50 to 90 is an 80% increase.



The perimeter of a rectangular field is 354 yards. If the width of the field is 82 yards, what is its length

Answers

Length is 95 yards.

The perimeter of a rectangle is the sum of four sides. The four sides are either its length or width.

A rectangle has four sides where its angles are all right angles and its opposite sides are congruent or of equal size.

Perimeter = 2length + 2width ==> P = 2L   + 2W

354 = 2L + 2(82)
354 = 2L + 164
to get the length. we must transfer all like signs.
2L = 354 - 164
2L = 190
2L / 2 = 190 / 2
L = 95 yards.
The answer of the length is 95

How how do you how do you estimate 4.23-2.51

Answers

Hi CuteFace ! Estimating is an easier way to find out an answer ! To estimate this particular problem you have to round both the numbers so 4.23 would round to 4 and 2.51 would round to 3 . 4-3=1

Answer:

If you round it would be 4-3=? . If the decimal is above .50 then you would go up one number in the ones place if it is not then it stays the same.

Step-by-step explanation:

taylor wants to paint his rectangle deck that is 42 feet long and 28 feet wide. a gallon of paint covers about 350 square feet . how many gallons of paint will taylor need to cover the entire deck?

Answers

First we need to figure out the area of Taylor's deck.
 
Area of a rectangle = length * width

Area = 42 * 28

Area = 1176 square feet

A gallon of paint covers about 350 square feet.  So, to find out how many gallons of paint Taylor needs, we have to divide the total area of his deck by the amount of deck that one gallon covers.

Gallons = 1176 / 350

Gallons = 3.36

However, Taylor cannot buy a fraction of a gallon of paint, and he can't leave some of his deck unpainted. 

Therefore, Taylor needs 4 gallons of point to cover the entire deck.

5= m+2 what would m = to

Answers

5=m+2
-2. -2 Subtract 2 from both sides.

5-2=m+2-2
3=m
So m is equal to 3

Rewrite the expression below using the Associative Property of Multiplication: (ab)c

Answers

Answer:

hope this helps

Step-by-step explanation:

(ab)c = (ac)b = (bc)a

Answer:

Here are a couple of examples (a+b)c or (c+b)a or (a+c)b

Step-by-step explanation:

To “associate” means to connect or join with something. According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the product does not change irrespective of how the factors are grouped.