Paul bought a student discount card for the bus. the card allows him to buy daily bus passes for $1.40. after one month, paul bought 19 passes and spent a total of $32.60. how much did he spend on the student discount card? paul spent $ on the student discount card.

bus passes cost $1.40 each

19 passes plus discount card cost $32.60

the cost of the discount card

Use the given relation bewteen the costs.

... 19×$1.40 + (discount card) = $32.60 . . . given

... $26.60 + (discount card) = $32.60 . . . . simplify

... (discount card) = $6.00 . . . . . . . . . . . . . . subtract $26.60

Paul spent $6 on the discount card.

answer: the correct answer is -32

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