Your bank offers a free checking account as long as the balance is at least $100 at the end of each billing cycle. yesterday your balance was $131.58, but you just made a debit card purchase of $53.96 which option below represents the inequality and solution that determines how much money you need to deposit into your account to avoid a penalty fee.

a. 77.62 + d > 100; d > $22.38

b. 53.96 + d > 100; d > $46.04

c. 53.96 + d ≥ 100; d ≥ $46.04

d. 77.62 + d ≥ 100; d ≥ $22.38

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'.

898.1666667

step-by-step explanation:

5389/6 = 898.1666667