Two construction companies put in bids for a job reworking the HVAC system in an old building. Company A charges $2,000 plus $75 per vent, while company B charges $3,500 plus $45 per vent. How many vents would need to be cleaned for company B to be the cheaper option?

When the ball has traveled a distance of

The length of a rectangular piece of land is 92 yards more than three times its width. the perimeter is 760 yards. find its dimensions.

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.