Cate and Elena were playing a card game. The stack of cards in the middle had 27 cards in it to begin with. Cate added 8 cards to the stack. Elena then took 7 cards from the stack. Finally, Cate took 4 cards from the stack. How many cards were left in the stack?

28 Cards left in stack

Step-by-step explanation:

27+8-7=28 cards

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: