Is the number 128.439 a rational number

Yes

Step-by-step explanation:

Yes terminating and repeating decimals are rational numbers.

This is a terminating decimal. It ends, so it is rational.

Anything that can be written as a fraction where the top and bottom are integers is rational.

Some examples:

-1                                                                              =-1/1

5                                                                              =5/1

5.23                                                                    =523/100

.3333333333333333333333333333333333333=1/3

1   2/3                                                                           =5/3

Since there seems to be more that need convincing, the number 128.439 can be written as 128439/1000

that is a fraction where the top and bottom are integers

so 128.439 is rational

72 fudge and 75 toffee

step-by-step explanation:

i hope this : )

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: