University:
Missouri State University
Course:
MTH 103 | Intermediate Algebra
Academic year:

2019
Views:

481

Pages:

1
Author:

Alessandro Nelson

Unit 9 Problem Solving Worksheet #4 1: Regan can do a job in 4 hours that Brandon needs 5 hours to do. If Regan works for 1 joins him, how long will it take them to finish the job? Reg= B 2 L 2 | V 4 4 1+x x | x+q 4 x | x+q 4 (x + 1)/4 + x/5 = 1 ) 5x + x ^ (- l) * 4x = 10 9x < 15 x = 1 2/3 1 2/5 hwra 2. Lauren and Jim work together at the bank and can put a certain set into the computer in 2 hours and 55 minutes. It takes Jim 5 hours to do this work alone. How long does 5250.3 + 17x + 2wx \$ 212w = 121x it take Lauren to do this job alone? we auren x 175 175 175 x + (25 3 * ∞ = 1 ) (1775)(xw) + 175x = 3 * ∞ * x 400 Thous J0 3 175 175 Janet can do a job in 18 hours that Rich takes 20 hours to do. Janet's friend Gerry-can do the same job Jent 18 र F/20 in 36 hours. How long will it take the three of them working together to do the job? ++=1180 10x + 9x + 5x = 180 24x = 480 x = 7.1 ½ han Rich w geryx 4. When air is pumped into a tire, the pressure required varies inversely as the yohime of the air. If the pressure-is 30 + - l * b / 2 * n ^ 2 when the volume is 140i * m ^ 2 find the pressure when the volume P = 42 sim0 160 P = 42 is 100i * n ^ 3 p = k/V 30 = K/(Thtve) k = 42w P = (42x)/V 42lbi * n ^ 2 5 of any gas vacies inversely with its pressure as long as the temperature. remains constant. If a helium-filled balloon has a volume of 3.4 cubic decimeters at a pressure of 120 kilopascals, what is its volume at 101.3 kilopascals? V = H_{2}/(I ^ rho) 3.4 120 v = (4m)/p v= 45x 10L3 4.03d ^ - 2 6. On half of a number added thirds of the number is 21. Find the number. - 1/2 * x +23*=21 2/6 * x = 21 x = 1.7 18 7. One third of a number is 15 less than five sixths of the number. Find the number. 1/3 * x = sum 6 x - i_{5} - 1/2 * x = - 15 x - 30 8: One half of a certain even integer plus one fifth of the next consecutive even integer equals 48. Find the two integers. 168,70 1 ^ s+ x Jul X+2 1/(∞) * x + 1/f * (x + z) = 48 1/2 * x + 1/1 * x + 2/5 = 48 7/10 * x = 238/f x = 68