Manuel is filling water balloons at a constant rate of 3 water balloons per minute.

with the given information, which of these statements is a reasonable conclusion?
clear check

there will be 24 water balloons filled after 16 hour.

there will be 120 water balloons filled after 20 minutes.

there will be 90 water balloons filled after 12 hour.

there will be 75 water balloons filled after 40 minutes.

answer: i guess 105 degrees?

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

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.