If 3(x+2)=5(x-8) what is the value of x+2?

a. 23
b.25
c.40
d.46

B. 25

Step-by-step explanation:

In order to find out the value of x + 2, you need to know what x is.  Let's solve for it then sub it back in to evaluate the expression.

3(x+2)=5(x-8) distributes out to give you

3x + 6 = 5x - 40.  Get like terms together on opposite sides of the equals sign:

46 = 2x and divide to get x = 23.  Now that we know that x = 23, that means that x + 2 is the same as 23 + 2 which is 25.

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:

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step-by-step explanation: