Which of the following expressions could give the total amount of a $45 restaurant bill with a 15% tip added on? (0.15)($45)
(1.15)($45)
$45 + 0.15
1 + (0.15)($45)

Option B: 1.15($45) is the correct answer.

Step-by-step explanation:

Given that:

Total amount of restaurant bill = $45

Tip = 15%

As the bill would be 100% and a 15% tip will be added.

Thus total bill,

Total bill = (100+15)% = 115% of restaurant bill

Total bill =

Total bill = 1.15($45)

Hence,

Option B: 1.15($45) is the correct answer.

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)