the equation 9(u - 2) + 1.5u = 8.25 models the total miles michael traveled one afternoon while sledding…

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?\no u = 0.25\no u = 0.75\no u = 1.1\no u = 2.5

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?\no u = 0.25\no u = 0.75\no u = 1.1\no u = 2.5

Answer

Explanation:

Step1: Expand the left - hand side

$9(u - 2)+1.5u=9u-18 + 1.5u$

Step2: Combine like terms

$9u-18 + 1.5u=(9u+1.5u)-18=10.5u-18$

Step3: Set up the new equation

$10.5u-18 = 8.25$

Step4: Add 18 to both sides

$10.5u-18 + 18=8.25 + 18$ $10.5u=26.25$

Step5: Divide both sides by 10.5

$u=\frac{26.25}{10.5}=2.5$

Answer:

$u = 2.5$