Winter middle school must end at 3: 00 pm for the buses. there needs to be 5 hours for class, 45 minutes for lunch, 10 minutes for daily announcements, 25 total minutes for changing classes, and 1/2 hour for assemblies. what time does winter middle school need to start in the morning?

Step-by-step explanation:

So we'll be working backwards here,

I like to convert 3:00 pm to a 24 hour clock, which is 12+3, or 15:00.

From there, subtract 5.5 hours (for class and assemblies). 15 - 5.5 = 9.5

Next, add all of the minutes together. 45 + 10 + 25 = 80 minutes.

Now, you probably know there are 60 minutes in an hour, so we can make 80 minutes = 1 hour and 20 minutes. Subtract an hour from 9.5 now, 9.5 - 1 = 8.5

Almost there, we still have 20 minutes to account for. Now, since there are 60 minutes in an hour, we can take the ".5" from 8.5 and make it into 30 minutes (60 minutes/hour * 0.5 hours).

Finally, subtract the 20 minutes from the 30. 30 - 20 = 10.

So school has to start at 8:10. Yikes.

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

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: