Lincoln technical college has 156 students they expect 700 guest for a special speaker the custodian has set up 1500 chairs how many more chairs are needed if everyone is do you have a seat

56 seats

Step-by-step explanation:

Question should say 856 students not 156 students.

If there are 856 students and 700 guests, the total number of people coming for the event is:

= 856 + 700

= 1,556 people

There are 1,500 seats so the extra seats needed are:

=Number of people coming - Seats available

= 1,556 - 1,500

= 56 seats

If the question is indeed 156 students then there is no need for extra seats as the total number of people coming would be: 156 + 700 = 856. Seats would be surplus.

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