Adam plans to choose a video game from a section of the store where everything is

Mathematics

1 answer:

alexira [117]2 years ago

4 0

Original price of video game minus the sale price (-.75d) = the percent of original price Adam will pay (.25d)

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You are getting a line-up ready for a school kickball game. You have 7 girls and 7 boys. The rules state each child must kick th

Effectus [21]

Answer:

50,803,200 ways

Step-by-step explanation:

In this situation, since you should alternate girl-boy or boy-girl, the line-up can either start with a boy or a girl kicking which would yield one of the two following patterns:

BGBGBGBGBGBGBG or GBGBGBGBGBGBGB.

For each of those patterns, there are 7! ways to arrange all boys and 7! ways to arrange all girls. The number of ways that a line-up can be made for one round of kicking is:

$n=2*7!*7!\\n=2*(7*6*5*4*3*2)^2\\n=50,803,200\ ways$

There are 50,803,200 ways to set the line-up.

8 0

3 years ago

Estimate √53 between two numbers to the tenths place.

ZanzabumX [31]

Answer:

53 lies between 7.2² and 7.3²

Step-by-step explanation:

Estimating a root to the nearest tenth can be done a number of ways. The method shown here is to identify the tenths whose squares bracket the value of interest.

You have answered the questions of parts 1 to 3.

You are given that ...

7.2² = 51.84

7.3² = 53.29

This means 53 lies between 7.2² and 7.3², so √53 lies between 7.2 and 7.3.

53 is closer to 7.3², so √53 will be closer to 7.3 than to 7.2.

7.3 is a good estimate of √53 to the tenths place.

_____

Additional comment

For an integer n that is the sum of a perfect square (s²) and a remainder (r), the square root is between ...

s +r/(2s+1) < √n < s +r/(2s)

For n = 53 = 7² +4, this means ...