An advertisement claims that 7 out of 8 people prefer brand x. suppose 216 people were interviewed. find the number of people who prefer brand X

189 people

Step-by-step explanation:

We can make a proportion to solve

We know that 7 out of 8 people prefer Brand X, and p out of 216 people prefer Brand X, so

7/8=p/216

To solve, we need to get p by itself.

To do this, we must multiply both sides by 216 to "reverse" the division being done to p.

216(7/8)=(p/216)216

189=p

So, out of 216 people, 189 people will prefer Brand X.

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step-by-step explanation:

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: