What is the answer to this question 4(5x+30)=100?

x = -1

Step-by-step explanation: To solve this equation, we start by distributing the 4 through the parentheses on the left side.

So we have 4 times 5x which is 20x and 4 times 30 which is 120.

So our equation now reads 20x + 120 = 100.

Solving from here, we subtract 120 from both sides of the equation and we have 20x = -20 and dividing both sides by 20, we find that x = -1.

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: