The number of soda bottles Katie bought is 6
The given parameters are:
- Large Pizza = $14.99
- Soda = $1.50 per bottle
- Total cost = $23.99
Assume the number of soda bottle is x.
So, we have:

This gives

Subtract 14.99 from both sides of the equations

Divide both sides of the equations by 1.5

Rewrite the equation as

Hence, the number of bottles is 6
Read more about linear equations at:
brainly.com/question/14323743
Answer:
x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3
Step-by-step explanation:
Solve for x:
6 x^2 - 4 x = 1
Divide both sides by 6:
x^2 - (2 x)/3 = 1/6
Add 1/9 to both sides:
x^2 - (2 x)/3 + 1/9 = 5/18
Write the left hand side as a square:
(x - 1/3)^2 = 5/18
Take the square root of both sides:
x - 1/3 = sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3
Add 1/3 to both sides:
x = 1/3 + sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3
Add 1/3 to both sides:
Answer: x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3
Answer:
The answer is the first option
Step-by-step explanation:
The principal square root 4 and its negative -4