Question

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?

99 points

Answer 1

U has a value of 2.5

Answer 2

h = 2.5

Step by step explanation:

We have been given an equation
`9(u-2)+1.5u=8.25` that 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.

To find value of u we will solve our equation.

Upon using distributive property we will get,

`9(u-2)+1.5u=8.25`

`9u-18+1.5u=8.25`

Now let us add 18 to both sides of our equation.

`9u-18+18+1.5u=8.25+18`

`9u+1.5u=8.25+18`

Now let us combine like terms.

`10.5u=26.25`

Upon dividing both sides of our equation by 10.5 we will get,

`u=(26.25)/(10.5)`

`u=2.5`

Therefore, value of u is 2.5.