The following are the ages (years) of 5 people in a room: 12
,

21
,

25
,

18
,

13

A person enters the room.
The mean age of the 6 people is now 21.
What is the age of the person who entered the room?

the age of the person that entered the room is 37

Step-by-step explanation:

x=126

12+21+25+18+13=89

126-89=37

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation: