The length of a piece of wood is 2/3 of a yard. If it is cut into 10 equal pieces, how long will each piece be?

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  2.4 inches

Step-by-step explanation:

A yard is 36 inches, so 2/3 yard is (2/3)(36) = 24 inches.

Each piece will be 1/10 of that length, so will be 24/10 = 2.4 inches.

Each piece will be 2.4 inches long.

Part a: b represents the base fee charged for the "house call" job

m is the hourly rate.

x is the number of hours at the job.

y represents the total cost for the job.

Part b:. The y-intercept is 65

The equation follows y=mx+b

Y= 42x + 65

Part c:. $275

Step-by-step explanation:

The difference between the two total costs, (Camilla 191 - Connor 107)

= $84. That is the rise. The run is the difference in time, 2 hours. 84/2 = 42.

m= 42

42 from 107 to find b, the base fee, 65 This is the y-intercept.

The equation is y= 42x + 65

Quick check using Camilla's bill: 191 = (42)(3) + 65

191 = 126 + 65 True!

Part C:

To find the total cost of the plumber's 5 hour job,

Y = 42(5) + 65

Y= 210 + 65

Y= $275