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Clever | Portal Kami | Collaborative Learnir blank.pdf ALEKS - Jamaya Worlds - UpStudy Thoth AI www-awy.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNsIkr7j8P3jH-IQUhQ7UhjLUg6NO6tj9qFItz6nQLOPsPMGhYmxMQDya2F-1ij_x59yRRc7UrTiMQGK4IOt... 12-1 M, M, M Question 8 of 15 (1 point) I Question Attempt: 1 of Unlimited Jamaya \( \checkmark 1 \) \( \checkmark 2 \) \( \checkmark 3 \) 4 \( \equiv 5 \) \( =6 \) \( \checkmark 7 \) 8 9 10 11 12 13 1 ) Jina is participating in a 4-day cross-country biking challenge. She biked for 44, 47, and 56 miles on the first three days. How many miles does she need to bike on the last day so that her average (mean) is 50 miles per day? \( \square \) miles Check Save For Later Submit Assignment © 2025 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility Sign out (1) Mar 12 11:24

Ask by Ross Black. in the United States
Mar 12,2025

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Jina needs to bike 53 miles on the last day to have an average of 50 miles per day.

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Let the miles biked on the fourth day be \( x \). The average mileage is given by: \[ \frac{44 + 47 + 56 + x}{4} = 50 \] Calculate the sum of the first three days: \[ 44 + 47 + 56 = 147 \] Then the equation becomes: \[ \frac{147 + x}{4} = 50 \] Multiply both sides by 4 to eliminate the fraction: \[ 147 + x = 200 \] Subtract \( 147 \) from both sides: \[ x = 200 - 147 = 53 \] Thus, Jina needs to bike \(\boxed{53}\) miles on the last day.

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To find out how many miles Jina needs to bike on the last day, we first calculate the total distance she would need to bike over the 4 days to achieve an average of 50 miles per day. Since there are 4 days, she will need to bike a total of \(50 \times 4 = 200\) miles. She has already biked \(44 + 47 + 56 = 147\) miles. Therefore, the distance needed on the last day is \(200 - 147 = 53\) miles. Now, if Jina forgets to track her distances accurately, she could miscalculate her average. It's essential to write down each day's miles right after biking or keep a digital log. Also, remembering that averages are affected by all values is key – if she bikes less on the last day, it will pull the average down, making future challenges feel more daunting!

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