Karen can read 10 pages and complete 15 math problems in 30 minutes. How long will it take her to do her homework if she has 30 pages to read and 45 math problems to complete? Your answer should refer to the amount of time in minutes
Apologies for the mistake. Let's correct it:
First, we need to find the rate at which Karen can read pages and complete math problems.
Karen can read 10 pages and complete 15 math problems in 30 minutes.
So, the rate at which Karen reads pages is 10 pages / 30 minutes = 1/3 page per minute.
And the rate at which Karen completes math problems is 15 problems / 30 minutes = 1/2 problem per minute.
Now, we can use these rates to determine the time it takes for Karen to complete her homework.
Karen needs to read 30 pages, so it will take her 30 pages / (1/3 page per minute) = 90 minutes to read all the pages.
Karen also needs to complete 45 math problems, so it will take her 45 problems / (1/2 problem per minute) = 90 minutes to complete all the math problems.
Therefore, it will take Karen a total of 90 minutes to do her homework.
the correct answer is paver 2
To determine the minimum amount Rafael should charge per cup of punch to make a $10 profit, we need to calculate the total cost of the ingredients and add the desired profit.
1 gallon is equivalent to 4 quarts, so Rafael needs 4 quarts of raspberry sorbet. Since Rafael pays $4.00 for each quart of sorbet, the total cost of the sorbet is 4 quarts * $4.00/quart = $16.00.
Rafael needs 2 liters of lemon-lime soda. Since he pays $3.00 for a 2-liter container of soda, the cost of the soda is $3.00.
The total cost of the ingredients is $16.00 (sorbet) + $3.00 (soda) = $19.00.
To make a $10 profit, Rafael needs to charge $19.00 (cost of ingredients) + $10.00 (desired profit) = $29.00.
Rafael is making 12 cups of punch, so to cover the total cost and desired profit, he needs to charge $29.00 / 12 cups = $2.42 per cup.
Therefore, the minimum amount Rafael should charge per cup of punch to make a $10 profit is $2.42 per cup rounded to the nearest hundredth.
that is the right answer good job!
To determine the amount of oil Randi will need for 8 gallons of gas, we can set up a ratio based on the mixture requirements.
The mixture requires 5 gallons of gas for every 2 gallons of oil.
This can be represented as:
5 gallons of gas : 2 gallons of oil
To find out how much oil Randi will need for 8 gallons of gas, we can set up a proportion:
5/2 = 8/x
Cross-multiplying, we get:
5x = 8 * 2
5x = 16
Dividing both sides by 5, we find:
x = 16/5 = 3.2
Therefore, Randi will need 3.2 gallons of oil for 8 gallons of gas.
Thank you! I'm glad I could provide you with the correct answer. If you have any further questions, feel free to ask.
Based on the given information, we can set up a proportion to find the amount of time it takes for Karen to complete her homework:
(Number of pages read)/(Number of math problems completed) = (Amount of time spent reading)/(Amount of time spent completing math problems)
10/15 = 30/x
Cross multiplying, we get:
10x = 15 * 30
10x = 450
Dividing both sides by 10, we find:
x = 450/10 = 45
Therefore, it will take Karen 45 minutes to complete her homework.