SHOW WORK NEED ASAP You have 800 square feet of the room reserved for tables,

a. Each round table requires 49 square feet. How many round tables will fit in 800 square feet?

b. Each rectangular table requires 64 square feet. How many rectangular tables will fit in 800 square feet?

C. The round tables seat 8 people. The rectangular tables seat 12 people.
Using your answers in (a) and (b), which type of table will seat more
people in the allotted 800 square feet, round or rectangular?

rectangular tables

Step-by-step explanation:

x: how many tables

a) 49x/49=800/49

x=16.3

so roughly 16 tables

b) 64x/64=800/64

x= 12.5

so roughly 12(you round to nearest even number when it is .5)

c) Now we will calcuate how many people will fit using the number of fitting capacity

=16 (8)

128

=12(12)

=144

Therefore, the rect tables will fit more people

b. astronomers

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!