Andrei has a glass tank. first, he wants to put in some marbles, each of which has a volume of 0.04 liters. then, he wants to fill the tank with water until it's completely full. if he uses 50 marbles, he will have to add 33 liters of water. what is the volume of the tank?

35 liters

Step-by-step explanation:

Volume of 1 marble = 0.04 Liters

volume of 50 marbles = 50 x 0.04 liters = 2 liters

volume of water added =  33 liters ( Given)

Volume of tank = Volume of water + Volume of 50  marbles

                          =      33 liters + 2 liters

                          =    35 liters

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: