What 3 consecutive numbers add up to 237?

Answers

Answer 1

Answer: let three consecutive numbers be a-1 , a ,a+1

sum of above (a-1)+(a)+(a+1) = 237
3a = 237
a = 79

therefore three numbers are = 78, 79,80

Answer 2

Answer: Take the three consecutive numbers as x, x+1 and x+2. These three have to add up to 237 so we get the equation:

x + (x+1) + (x+2) = 237
3x + 3 = 237
3x = 234
x = 234 / 3 = 78

Therefore the numbers are x (78), x+1 (79) and x+2 (80)

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Using the following data, calculate the mean absolute deviation: 10 7 1 6 7 9 8 10 2 5

What is the mean absolute deviation for these data?
2
2.4
6.5
7

Answers

Answer:

The mean absolute deviation of first data is $2.54$

and for second data is $2.115$

Step-by-step explanation:

Mean of data $x_1,x_2,x_3,x_4,...x_(n)$ is calculated as:

$mean=(x_1+x_2+x_3+x_4+...+x_n)/(n)$

and mean absolute deviation is calculated as $√(mean)$

The given first data : 10 7 1 6 7 9 8 10 2 5

$mean=(x_1+x_2+x_3+x_4+...+x_n)/(n)$

$mean=(10+7+1+6+7+9+8+10+2+5)/(10)$

$mean=6.5$

mean absolute deviation $√(6.5)=2.54$

The given first data : 2 2.4 6.5 7

$mean=(x_1+x_2+x_3+x_4+...+x_n)/(n)$

$mean=(2+2.4+6.5+7)/(4)$

$mean=(17.9)/(4)$

$mean=4.475$

mean absolute deviation $√(4.475)=2.115$

Therefore, the mean absolute deviation of first data is $2.54$

and for second data is $2.115$

First set of data:
Mean - 6.5
Absolute deviation - 2.4

Second set of data:
Mean - 4.475
Absolute deviation - 2.275

This is a two part question! Please help me!!!Write a function rule for the area of a rectangle with a length 2 ft less than three times its width. What is the area of the rectangle when its width is 2 ft?

Thanks to anyone who helps!

Answers

Answer:

A=4ft²

Answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Step-by-step explanation:

What is a soliloquy in a drama?

Answers

this is not mathematics but ok......
soliloquy is when someone on stage speaks to them self as if thinking in their mind, expressing their thoughts and emotions, conveying them to the audience.

Answer:

Step-by-step explanation:

soliloquy is when someone on stage speaks to them self as if thinking in their mind, expressing their thoughts and emotions, conveying them to the audience.

If I make 11.50 an hour working full time (40 hours a week) how much money do i make a year after deducting 60 dollars of taxes from my pay check every month? ( Keep in mind, some months have 4 weeks and some have 5 wks and I get paid bi-weekly not semi monthly )

Answers

Given:
hourly rate = 11.50
hours worked in a week = 40 hours
taxes per moth = 60

Every month may be 4 weeks or 5 weeks but we know that 1 year has 52.1429 weeks.

Let us compute for the whole year:

Earnings:
11.50 /1 hour * 40 hours/1week * 52.1429 weeks/1year
= 11.50 * 40 * 52.1429/year
= 23,985.734 per year

Taxes:
60 / per month * 12 months / 1 year
= 60 * 12/year
= 720 per year

Net earning per year
23,985.734 - 720 = 23,264.734

Net earning per month
23,264.734 ÷ 12 months = 1,938.81

You will earn 23,264.73 annually from a monthly earning of 1,938.81

It’s geometry I need help