(7) In this problem volume is measured in cubic meters m³. A tank has a rectangular base that measures 2 meters by 5 meters and it has vertical sides. Initially it contains 150 m³ of red paint and 140 m³ of blue paint. Blue paint is entering the tank so that after t hours it enters the tank at a rate of (60t+20) m³/hr simplify your answers so there are no parentheses (a) How many cubic meters of blue paint are in the tank after t hours? (b) How quickly is the height of the paint in the tank rising after t hours? (c) How many hours until there is twice as much blue paint in the tank as red paint? (d) What is the average height of the paint in the tank during the first 2 hours ? m/hr hrs m

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(7) In this problem volume is measured in cubic meters m³. A tank has a rectangular base that
measures 2 meters by 5 meters and it has vertical sides. Initially it contains 150 m³ of red paint and
140 m³ of blue paint. Blue paint is entering the tank so that after t hours it enters the tank at a rate
of
(60t+20) m³/hr
simplify your answers so there are no parentheses
(a) How many cubic meters of blue paint are in the tank after t hours?
(b) How quickly is the height of the paint in the tank rising after t hours ?
(c) How many hours until there is twice as much blue paint in the tank as red paint ?
(d) What is the average height of the paint in the tank during the first 2 hours ?
m³
m/hr
hrs
m
Transcribed Image Text:(7) In this problem volume is measured in cubic meters m³. A tank has a rectangular base that measures 2 meters by 5 meters and it has vertical sides. Initially it contains 150 m³ of red paint and 140 m³ of blue paint. Blue paint is entering the tank so that after t hours it enters the tank at a rate of (60t+20) m³/hr simplify your answers so there are no parentheses (a) How many cubic meters of blue paint are in the tank after t hours? (b) How quickly is the height of the paint in the tank rising after t hours ? (c) How many hours until there is twice as much blue paint in the tank as red paint ? (d) What is the average height of the paint in the tank during the first 2 hours ? m³ m/hr hrs m
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