Charla wants to cover a certain rectangular area of her driveway with a picture using chalk. If she completes 23 of the area in 12 hour, how long will it take her to complete the entire picture
If Charla completes 23% of the area in 12 hours, then she completes 1% of the area in 12/23 = <<12/23=0.5217391304347826>>0.5217 hours.
Therefore, it will take Charla 0.5217 x 100 = 52.17 hours to complete the entire picture. Answer: \boxed{52}.
Rosie is planning to make raspberry lemonade for a party. She needs to add 2 scoops of raspberry to every 5 cups of lemonade. The data table shows the ratios needed. At what ratio does the constant of proportionality appear?
To find the ratio at which the constant of proportionality appears, we need to compare the number of scoops of raspberry to the number of cups of lemonade.
From the data table, we can see that for every 2 scoops of raspberry, there are 5 cups of lemonade.
Therefore, the constant of proportionality appears at the ratio of 2 scoops of raspberry to 5 cups of lemonade, which can be written as 2:5.
To find out how long it will take Charla to complete the entire picture, we can determine the progress she makes per hour and then use that to calculate the total time needed.
We know that Charla completes 23% of the area in 12 hours. Therefore, we can calculate her progress per hour by dividing the completed area (23%) by the time taken (12 hours):
Progress per hour = 23% / 12 hours
To find out how long it will take Charla to complete the entire picture, we need to calculate the total time needed. Since the progress per hour is already given as a percentage, we can set up the following equation:
Progress per hour = Total progress / Total time
Simplifying the equation, we have:
23% / 12 hours = 100% / Total time
To solve for the total time, we can cross-multiply:
Total time = (12 hours * 100%) / 23%
Calculating this expression will give us the amount of time needed for Charla to complete the entire picture.