At a concert 20% of the audience members were teenagers. If the numbers of teenagers at the concert was 360, what was the total number of audience members

So we know 20% of the audience are teenagers, and there are 360 teenagers.

Therefore, 1/5 of the audience members were teenagers, and that means 1/5 of the audience members is 360.

Multiply it by 5 to get

360 * 5 = 1800

The total number of audience members are 1800.

the total number of audience members is 1800

Step-by-step explanation:

Let x represent the total number of audience members at the concert.

At the concert, 20% of the audience members were teenagers. This means that the number if teenagers at the concert would be expressed as

20/100 × x = 0.2 × x = 0.2x

If the numbers of teenagers at the concert was 360, it means that

0.2x = 360

Dividing the left hand side and the right hand side of the equation by 0.2, it becomes

0.2x/0.2 = 360/0.2

x = 1800

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!