The sum of 2 numbers is 24. the difference between the greater number is 18 find the greater number

The greater number is 21, this is correct since 21 + 3 is 24, and 21 - 3 is 18. Thus, it fulfills all necessary requirements

Hey there!!

Looking at the question, we know that there are two numbers.

As stated:

Taking equations:

... x+y=24 --- (1)

... x-y=18 --- (2)

Now, let's add both the equations.

... 2x=42

... x=42/2

...x=21

Hence, the larger number is 21.

Based off this, we will know that the smaller number is 3

Hence, the smaller number is 3

Hope my answer helps!

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: