The sum of theee consecutive numbers is 90. what is the smallest of the three numbers?

29

Note that consecutive numbers have a difference of 1 between them.

let n be the smallest integer then the three integers can be expressed as

n, n + 1 , n + 2

the sum is then

n + n + 1 + n + 2 = 90

3n + 3 = 90

subtract 3 from both sides of the equation

3n = 90 - 3 = 87

divide both sides by 3

n = = 29

the three integers are 29, 30, 31 → the smallest is 29

sorry not sure

step-by-step explanation:

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