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 $u$?

$u = 0.25$
$u = 0.75$
$u = 1.1$
$u = 2.5$

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 $u$?

$u = 0.25$
$u = 0.75$
$u = 1.1$
$u = 2.5$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations" ], "new_concepts": [], "current_concepts": [ "Linear Equations" ] } ## Distribute the terms $$ 9(u - 2) + 1.5u = 8.25 $$ $$ 9u - 18 + 1.5u = 8.25 $$ ## Combine like terms $$ 10.5u - 18 = 8.25 $$ ## Isolate the variable term $$ 10.5u = 8.25 + 18 $$ $$ 10.5u = 26.25 $$ $$ u = \frac{26.25}{10.5} = 2.5 $$

(A) $u = 0.25$

(B) $u = 0.75$

(C) $u = 1.1$

(D) $u = 2.5$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Distribute the terms

Combine like terms

Isolate the variable term

Answer: