Angie and kenny play online video games. angie buys 1 software package and 3 months of game play. kenny buys 1 software package and 4 months of game play. each software package cost $50. if the total cost is 240, what is the cost of one month of gameplay ?

The cost of one month of game-play =$20

Step-by-step explanation:

Let the cost of one month of gameplay be x

Then cost of game-play bought by Angie =3x(1)

and Then cost of game-play bought by Kenny=4x(2)

Cost of each software package =$50(3)

The the total cost =240= sum of costs of software bought by both of them and game-play)=50+50+3x+4x

⇒240=100+7x→(by adding like terms)

⇒140=7x⇒x=20→( dividing both sides by 7 )

∴the cost of one month of game-play =$20

Given

Angie and Kenny play online video games

Angie buys 1 software package and 3 months of game play

Kenny buys 1 software package and 4 months of game play

Each software package cost $50

total cost is 240

Find out the cost of one month of gameplay.

To proof

let us assume that the cost of one month of game play = x

As given in the question

Angie buys 1 software package and 3 months of game play

Kenny buys 1 software package and 4 months of game play

Each software package cost  = $50

Total cost =$240

Than the equation becomes

( 50 + 3x ) + ( 50 + 4x ) = 240

100 + 7x= 240

7x= 140

x = $20

The cost of one month gameplay  is $ 240.

Hence proved

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: