Will mark brainliest please help Debbie notices that the amount owed on her monthly heating bill varies inversely with the average outdoor temperature. Last month the average outdoor temperature was 35°F, and her bill was $210. If this month's average outdoor temperature is 40°F, what can Debbie expect her bill to be?

The bill is $1837.5

Step-by-step explanation:

Given

--- The variation

T = 35; when B = 210

Required

Find B when T = 40

Express as an equation

Make k the subject

T = 35; when B = 210

When T = 40, we have:

Make B the subject

this is answer of 144 cubic meters

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