Geet sells televisions. He earns a fixed amount for each television and an additional $20 if the buyer gets an extended warranty. Geet sells 14 televisons with extended warranties, he earns $1,260. How much is the fixed amount Geet earns for each television?​ I really need help I would appreciate it very much thanks!

Explanation:

I'm assuming that each TV he sells has an extended warranty.

If he sells 14 such TVs, then he earns 20*14 = 280 dollars from the warranties alone. We're told he earns a total of $1260. This means that 1260-280 = 980 dollars was earned from the fixed amount he gets per TV.

Divide this over 14 to get 980/14 = 70

Here's an algebraic way to approach this

x = fixed amount he gets per TV

x+20 = fixed amount plus the extra $20 to get the warranty

14(x+20) = total amount he gets

14(x+20) = 1260

To solve for x, we could take two paths. One path is to divide both sides by 14 and subtract 20 from both sides later

So we would do:

14(x+20) = 1260

x+20 = 1260/14

x+20 = 90

x = 90-20

x = 70

Or we could distribute first, then subtract 280 from both sides, and divide both sides by 14. This basically follows the path described in the first section at the top.

14(x+20) = 1260

14x+14*20 = 1260

14x+280 = 1260

14x = 1260-280

14x = 980

x = 980/14

x = 70

Either way, we end up with 70 dollars as the answer

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110