Ramon makes 33 donuts every 7 hours. Using a unit rate, determine how many whole donuts he would make in 5 hours.(1 point)
Responses
To determine the unit rate, divide the total number of donuts (33) by the total number of hours (7).
Unit rate = 33 donuts / 7 hours = 4.714 donuts/hour.
To find out how many whole donuts Ramon would make in 5 hours, multiply the unit rate by the number of hours.
Number of donuts = 4.714 donuts/hour * 5 hours ≈ 23.57 donuts.
Therefore, Ramon would make approximately 23 whole donuts in 5 hours.
To compute Raquel's wage for each yard, divide her total weekly pay ($75) by the number of yards mowed (8).
The equation would be:
Wage per yard = Total weekly pay / Number of yards
Wage per yard = $75 / 8
To determine how many pints Jesse uses for each painting, divide the total number of pints (13) by the number of paintings (5).
Pints per painting = Total pints / Number of paintings
Pints per painting = 13 pints / 5 paintings
Pints per painting = 2.6 pints
Therefore, Jesse uses 2.6 pints for each painting.
To determine how many paintings Jesse will complete if he uses 44 pints, divide the total number of pints (44) by the pints per painting (2.6).
Number of paintings = Total pints / Pints per painting
Number of paintings = 44 pints / 2.6 pints
Number of paintings ≈ 16.92 paintings
Therefore, Jesse will complete approximately 16.92 paintings if he uses 44 pints. Since he cannot complete a fraction of a painting, he would complete either 16 or 17 paintings.
To determine how many pints Jesse will need for 29 paintings, multiply the number of paintings (29) by the pints per painting (2.6).
Total pints = Number of paintings * Pints per painting
Total pints = 29 paintings * 2.6 pints
Total pints = 75.4 pints
Therefore, Jesse will need approximately 75.4 pints for 29 paintings. Since he cannot use a fraction of a pint, he would need either 75 or 76 pints.
Raquel gets paid $75 per week to mow 8 yards. Which equation would represent how to compute her wage for each yard?(1 point)
Jesse uses 13 pints of paint for 5 paintings. How many pints does he use for each painting? How many paintings will he complete if he uses 44 pints? How many pints will he need for 29 paintings?(1 point)
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.(1 point)
To find out how long it will take Karen to do her homework, we need to determine how long it takes her to complete each page and math problem.
First, let's find out how long it takes Karen to read one page.
Reading rate = 30 minutes / 10 pages
Reading rate = 3 minutes/page
Next, let's find out how long it takes Karen to complete one math problem.
Math rate = 30 minutes / 15 math problems
Math rate = 2 minutes/problem
To determine how long it will take Karen to read 30 pages, multiply the reading rate by the number of pages.
Time to read pages = Reading rate * Number of pages
Time to read pages = 3 minutes/page * 30 pages
Time to read pages = 90 minutes
Similarly, to determine how long it will take Karen to complete 45 math problems, multiply the math rate by the number of problems.
Time to complete math problems = Math rate * Number of problems
Time to complete math problems = 2 minutes/problem * 45 problems
Time to complete math problems = 90 minutes
Therefore, it will take Karen 90 minutes to both read 30 pages and complete 45 math problems for her homework.
Rafael is making punch and needs a gallon of raspberry sorbet and 2 liters of lemon-lime soda to make 12 cups. He pays $3.00 for a 2-liter container of lemon-lime soda and $4.00 for a quart of sorbet. What is the minimum amount he should charge per cup of punch to make a $10 profit? (Remember there are 4 quarts in a gallon.) Your answer should be a dollar amount rounded to the nearest hundredth.(1 point)
First, let's calculate the cost of the ingredients per cup of punch.
Raspberry sorbet cost per cup = (Cost of 1 quart of sorbet) / (Number of cups made from 1 quart)
Raspberry sorbet cost per cup = $4.00 / 4 cups
Raspberry sorbet cost per cup = $1.00 per cup
Lemon-lime soda cost per cup = (Cost of 1 2-liter container) / (Number of cups made from 1 2-liter container)
Lemon-lime soda cost per cup = $3.00 / 12 cups
Lemon-lime soda cost per cup = $0.25 per cup
Total cost per cup of punch = Raspberry sorbet cost per cup + Lemon-lime soda cost per cup
Total cost per cup of punch = $1.00 + $0.25
Total cost per cup of punch = $1.25 per cup
Now, let's calculate the minimum price per cup that Rafael should charge to make a $10 profit.
Minimum price per cup = Total cost per cup + Desired profit per cup
Minimum price per cup = $1.25 + $10.00 / 12 cups
Minimum price per cup = $1.25 + $0.83
Minimum price per cup = $2.08
Therefore, Rafael should charge at least $2.08 per cup of punch to make a $10 profit.
Randi needs to mow her lawn. The mixture requires 5 gallons of gas for every 2 gallons of oil. How much oil will she need for 8 gallons of gas? Your answer should be in tenths.(1 point)
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