Ashley earns $8.50 per hour at her job, but if she works more than 35 hours in a week she is paid 1½ times her regular wage for the overtime hours worked. a. find a linear equation that relates her weekly pay y and the number of hours x she worked during the week if she worked no more than 35 hours.

Let

x-------> the number of hours Ashley worked during the week

y------> Ashley's weekly pay

we know that

Ashley earns $8.50 per hour at her job and if she works more than 35 hours in a week she is paid 1½ times her regular wage for the overtime hours worked

so

case a) if she worked no more than 35 hours

In this case the equation is equal to

case b) if she worked more than 35 hours

in this case

the equation is equal to

therefore

the answer part a) is

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:

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.