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The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the number of hours walking up a hill and (u – 2) equals the number of hours sledding down the hill. Which is the value of u?

Respuesta :

9(u – 2) + 1.5u = 8.25
9u - 18 + 1.5u = 8.25
10.5u = 8.25 + 18
10.5u = 26.25
u = 26.25 / 10.5
u = 2.5

Answer:

2.5

Step-by-step explanation:

Given: The equation [tex]9(u - 2) + 1.5u = 8.25[/tex]models the total miles Michael traveled one afternoon while sledding.

To Find: Which is the value of u?

Solution:

[tex]9(u - 2) + 1.5u = 8.25[/tex]

[tex]9u - 18+ 1.5u = 8.25[/tex]

[tex]10.5u = 8.25+18[/tex]

[tex]10.5u =26.25[/tex]

[tex]u =\frac{26.25}{10.5}[/tex]

[tex]u =2.5[/tex]

Hence the value of u is 2.5

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