Jasmine is part of a bowling league and wants to beat the team record of an average score of 240 out of 300 possible points per game. Her scores for the first five games are 252, 227, 210, 239, 242. What must Jasmine score in her sixth game to beat the team record for average points per game?​

her score in sixth game is 270

Step-by-step explanation:

The computation of the Jasmine score in her sixth game is shown below:

Let us assume her sixth game score is x

And, the first five games are 252, 227, 210, 239, 242

And, the average score is 240

So, the following formula should be used

(252 + 227 + 210 + 239 + 242 + x) ÷ 6 = 240

252 + 227 + 210 + 239 + 242 + x = 240 × 6  

252 + 227 + 210 + 239 + 242 + x = 1,440

x = 270

Hence, her score in sixth game is 270

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)