Atoy manufacturer makes a toy truck, a toy car, and a toy boat. the production spreadsheet is: toy time to produce cost to produce profit for each truck 10 minutes $1.00 $1.00 car 12 minutes $0.75 $1.50 boat 8 minutes $0.80 $0.60 after accounting for breaks, a worker actually works 400 minutes each day. the manufacturer needs each worker to generate a potential profit of $35 each day. write a system of inequalities that expresses these constraints.

Step-by-step explanation:

Let x be the number of toy trucks, y be the number of toy cars and z be the number of toy boats a worker makes each day.

1. If a worker spends 10 minutes to make one toy truck, then he spends 10x minutes to make x toy trucks. If a worker spends 12 minutes to make one toy car, then he spends 12y minutes to make y toy cars. If a worker spends 8 minutes to make one toy boat, then he spends 8z minutes to make z toy boats. In total he can spend at most 400 minutes each day, then

2. If a worker generates profit of $1.00 per one toy truck, then he generates profit of $x per x toy trucks. If a worker generates profit of $1.50 per one toy car, then he generates profit of $1.50y per y toy cars. If a worker generates profit of $0.60 per one toy boat, then he generates profit of $0.60z per z toy boats. The manufacturer needs each worker to generate a potential profit of $35 each day, then

Thus, the system of two inequalities is

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12

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: