A group of nine friends po to a baseball game. Each friend buys either a hamburger or hot dag at the game

The group buy 6 hot dogs and 3 hamburgers for a total of $27.75.

• A hamburger costs $1.75 more than a hot dog.

What is the cost of a hamburger?

$4.25

Step-by-step explanation:

Let the cost of the hotdog be x

Since a hamburger costs $1.75 more than a hot dog. Then, the cost of the hamburger will be:

= x + 1.75

We are further told that the group buy 6 hot dogs and 3 hamburgers for a total of $27.75. This can then be represented in an equation as:

6 hot dogs + 3 hamburger = $27.75

(6 × x) + 3 × (x + 1.75) = 27.75

6x + 3x + 5.25 = 27.75

9x = 27.75 - 5.25

9x = 22.50

x = 22.50/9

x = 2.50

The hotdog cost $2.50

Cost of hamburger = x + 1.75

= $2.50 + $1.75

= $4.25

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)