Nolan gave out a survey to some students in his school about their favorite color. Students could choose between red and purple. 238 of those surveyed said their favorite color was red. 66% of the students surveyed said their favorite color was purple. How many students were surveyed in total?

700

Step-by-step explanation:

100%-66%=34%

34% equals the 238 that is red

238÷34%=7 people per percentage

7×66%= 462 students that chose purple

462+238=700 which should be the total amount of people surveyed.

900 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