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Question
Math
Posted 7 months ago
Dagogo uploads 3 videos on his channel every month. Each video averages 15 minutes in length and gets an average of 150,000 new views. The average ratio of likes-to-views of Dagogo's videos is 1:51: 5. Dagogo wants to reach a total of 9,000,0009,000,000 views on his channel.

Assuming these rates continue, for how many months does Dagogo need to upload videos to get to 9,000,0009,000,000 views on his channel?
\square months
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Answer from Sia
Posted 7 months ago
Solution by Steps
step 1
Calculate the total number of views Dagogo gets each month: 3 videos×150,000 views per video3 \text{ videos} \times 150,000 \text{ views per video}
step 2
Multiply the number of views per video by the number of videos per month to find the monthly views: 3×150,000=450,000 views per month3 \times 150,000 = 450,000 \text{ views per month}
step 3
Set up the equation to solve for the number of months: 450,000×months=9,000,000450,000 \times \text{months} = 9,000,000
step 4
Divide both sides of the equation by 450,000 to solve for months: months=9,000,000450,000\text{months} = \frac{9,000,000}{450,000}
step 5
Calculate the number of months: months=20\text{months} = 20
Answer
20 months
Key Concept
Solving for an unknown variable in a linear equation
Explanation
To find the number of months Dagogo needs to reach 9,000,000 views, we calculate the total views per month and then divide the goal views by the monthly views.

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