Alarge railroad car is filled with 1745 gallons of milk. the car springs a leak in the bottom, and milk starts dripping out at a rate of 204.84 ml/sec. if the train is traveling at a speed of 65.4 miles per hour, calculate how many miles it will travel before all the milk has drained out of the car.

585.98 miles

Step-by-step explanation:

We need to convert 1745 gallons to mL.

We know 1 gallons = 3785.41 mL

So 1745 gallons = 1745 * 3785.41 = 6,605,540.45 mL

Leaks are at 204.84 mL/sec, so it will take:

6,605,540.45/204.84 = 32,247.32 seconds

In hours, that is:

32,247.32/(60*60) = 8.96 hours

Now, since train is travelling at 65.4 miles per hour, in 8.96 hours, train will approximately travel:

65.4 * 8.96 = 585.98 miles

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