Agrocery clerk sets up a display of 12-pack cartons of cola. there are 40 cartons at the base of the triangle and one at the top. how many cartons of cola are needed for the complete display? 30 cartons 15 cartons 480 cartons 820 cartons

820 cartons

Step-by-step explanation:

**Note: The 12-pack carton of cola reference is not pertinent to this problem, it was put in as a descriptor, and to throw you off **

Given that there are 40 cartons on the base and 1 on the top, we know that to make a triangle display, there needs to be one less than the previous number on top:

All you need to do is start with 40, and subtract one:

40 - 1 = 39

From here you do the same thing and subtract one:

39 - 1 = 38

You can continue to do this until you have 2, and subtract 1 from it, and then add all your answers up, but if you know that you have to go one down there is no need for subtraction in work form:

40 + 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31 + 30 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 22 + 21 + 20 + 19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1

All of these number added together will then give you 820 cartons as your answer

YOUR MOM = ꜘGꜘAꜘYꜘ BAHAHA ꜘꜘꜘ

Step-by-step explanation:

"a" determine whether sage found the correct quotient. show your work

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: