This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the questions: Question 5: Let t_u be the time Mario takes to walk up the hill and t_d be the time he takes to skateboard down the hill. Let v_u be his speed walking up the hill and v_d be his speed skateboarding down the hill. The distance of the hill, D, is the same for both directions. We know that D = v_u t_u and D = v_d t_d. We are given that Mario can skateboard down a hill three times faster than he can walk back up, so v_d = 3v_u. Step 1: Set up the relationship between times using speeds. Since D = v_u t_u and D = v_d t_d, we have v_u t_u = v_d t_d. Substitute v_d = 3v_u: v_u t_u = (3v_u) t_d Divide both sides by v_u: t_u = 3t_d Step 2: Use the total time given. The total time for both activities is 6 minutes: t_u + t_d = 6 Step 3: Substitute the expression for t_u from Step 1 into the equation from Step 2. 3t_d + t_d = 6 4t_d = 6 t_d = (6)/(4) = 1.5 minutes Step 4: Calculate the time it takes to walk up the hill (t_u). t_u = 3t_d = 3 × 1.5 minutes = 4.5 minutes The correct option is C. C. 4.5 Question 6: To convert temperature from degrees Celsius (^) to degrees Fahrenheit (^), use the formula: ^ = (^ × (9)/(5)) + 32 Step 1: Substitute the given Celsius temperature into the formula. The given temperature is 25^. ^ = (25 × (9)/(5)) + 32 Step 2: Perform the multiplication. ^ = (5 × 9) + 32 ^ = 45 + 32 Step 3: Perform the addition. ^ = 77 So, 25^ is equal to 77^. The correct option is A. A. 77 That's 2 down. 3 left today — send the next one.