A repairman charges an inspection fee plus $22 per hour. A customer with a coupon for 40% off the inspection fee pays $118 for a 4-hour repair. How many hours are worked when a customer pays $94 without a coupon?

Inspection fee = $50

h = 2 hours

Step-by-step explanation:

Let

x = the inspection fee

Charge per hour = $22

Number of hours = 4

A customer with a coupon for 40% off the inspection fee

This means the customer paid 60% of the inspection fee

118 = 60% of x + 22(4)

118 = 0.6x + 88

118 - 88 = .6x

30 = .6x

x = 30/0.6

x = $50

Inspection fee = x = $50

How many hours are worked when a customer pays $94 without a coupon?

94 = 50 + 22h

94 - 50 = 22h

44 = 22h

h = 44/22

h = 2 hours

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step-by-step explanation:

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)