Max is taking a cab in New York City. The fare is calculated as a base charge of $3.00 plus an additional $2.00 per mile traveled. It is also customary to leave a $2 tip. If Max wants to spend exactly $20, how many miles can he travel?

7.5miles

Step-by-step explanation:

Since the fare is calculated as a base charge of $3.00 plus an additional $2.00 per mile traveled and also customary to leave a $2 tip and Max wants to spend exactly $20. This information can be formed into an equation as:

Let the miles that he can travel be m.

3 + (2 × m) + 2 = 20

3 + 2m + 2 = 20

5 + 2m = 20

2m = 20 - 5

2m = 15

m = 15/2

m = 7.5miles

Therefore, Max can travel 7.5miles

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.