A plane travels at a speed of 205mph in still air. Flying with a tailwind, the plane is clocked over a distance of 975 miles. Flying against a headwind, it takes 2 hours longer to complete the return trip. What was the wind velocity? no links

T1 = 975 / (205 + V)         flying with wind

T2 = 975 / (205 - V)         flying against wind

T2 = T1 + 2

975 * {1 / (205 - V) - 1 / (205 + V)] = 2

(205 + V + V -205) / (205^2 - V^2) = 2 / 975

V^2 + 975 V - 42025 = 0          rearranging

V = 41.3

Values of flying are  246.3 and 163.7

Check:  

T1 = 975 / 246.3 = 3.96 hrs

T2 = 975 / 163.7 = 5.96 hrs

45

step-by-step explanation:

30+15

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!