An online furniture store sells chairs for $150 each and tables for $700 each. every day, the store can ship at most 18 pieces of furniture and must sell a minimum of $6000 worth of chairs and tables. if 5 tables were sold, determine the minimum number of chairs that the the store must sell in order to meet the requirements. if there are no possible solutions, submit an empty answer.

Step-by-step explanation:

c + t < = 18

150c + 700t  > = 6000

if 5 tables were sold...

150c + 700(5) > = 6000                               c + t < = 18

150c + 3500 > = 6000                                 c + 5 < = 18

150c > = 6000 - 3500                                  c < = 18 - 5

150c > = 2500                                               c < = 13

c > = 2500/150

c > = 16.67

NO POSSIBLE SOLUTIONSbecause in order to make at least $ 6000, they would have to sell 17 chairsbut they cant sell 17 chairs being the number of furniture pieces cant be more then 18...and they already sold 5 tablesmeaning they could only sell at most 13 chairs

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

the answer is a if my teacher taught me correct