in the last three years, Fred's basketball team won 30 more games than they lost. if they won 150 games, what was their ratio of wins to losses? What are three different ways to show the ratio?

what is the unit rate if Ramon drives his car 180 miles in 3 hours?

what is the unit rate if 9 water molecules contain 27 atoms?

Tiffany paid 46 cents for 3 ounces of candy. Tony paid 76 cents for 13 ounces of the same candy. who made the better buy?

Larry took 17 minutes to do 10 math problems. Mary took 16 minutes to do 9 math problems. which one did more problems per min?

if a recipe calls for 15 fl oz of punch mix per 3 qt of water. whats the unit rate?

Kim walked 3 miles in 21 min. ted walked 4.5 miles in 42 minute. who walked faster?

there are 62 girls in the 7th grade and 58 boys in the 8th grade. each grade has 120 students. compare the ratios of boys to the total students in each grade

Matt has 6 racing games and 8 other sports games. what is a ratio of racing games to total games?

1. not sure
2. 180mi/3hrs. Ramon drives 180 miles per 3 hours
3. 1atom/3molecules there is 1 atom per 3 molecules
4. yes
5. Larry
6. 5oz/1qt
7. ted
8. not sure
9. 3/4
Am I right? Please help me???

Thank ya, sk8rgurl13! ☺

Actually, number two would be 60/1. Right?

1a. 150games/3yrs = 50 games/yr won.

50-30 = 20games/yr lost.
20games/yr * 3yrs = 60 games lost.

1b. Ratio = 150Won/60Lost = 2.5/1.
Ratio = 50Won/20Lost = 2.5/1.

2. Rate = 180Mi/3h = 60 mi/1h.

3. 27Atoms/9Molecues=3 Atoms/1Molecue.

4. Tiffany: 46c./3 oz. = 15.33c./oz'
Tony: 76C./13 oz = 5.85 C./oz.
Tony got the best buy.

5. Larry: 10Prob./17Min=0.588 Prob./min.
Mary: 9Prob./16Min = 0.563 Prob/min.

6. Rate = 15 oz/3Qt = 5 oz/Qt.

7. Kim: 3Mi/21Min = 0.143 Mi/Min.
Ted: 4.5Mi/42Min = 0.107 Mi/Min.
Kim walked the fastest.

8. 7th Grade: (120-62)/120 = 29/60=0.483
8th Grade: 58/120 = 29/60 = 0.483.

9. 6/(6+8) = 6/14 = 3/7.

Thanks. Henry.

Let's go through each question and explain how to get the answers:

1. In the last three years, Fred's basketball team won 30 more games than they lost and won a total of 150 games. To find the ratio of wins to losses, we need to determine how many games they lost. We can do this by subtracting the 30 additional wins from the total wins of 150.

Calculation: Total Wins - Additional Wins = Games Lost
150 - 30 = 120

So, they lost 120 games. Now we can express the ratio of wins to losses in three different ways:

a) As a fraction: Wins/Losses = 150/120
b) As a decimal: Wins/Losses ≈ 1.25 (divide total wins by total losses)
c) As a ratio: Wins : Losses = 150 : 120

2. To find the unit rate of Ramon's car trip, we divide the total distance by the total time it took.

Calculation: Distance/Time = Unit Rate
180 miles / 3 hours = 60 miles per hour

So, the unit rate is 60 miles per hour.

3. To find the unit rate of water molecules to atoms, we divide the total number of atoms by the total number of water molecules.

Calculation: Atoms/Molecules = Unit Rate
27 atoms / 9 molecules = 3 atoms per molecule

So, the unit rate is 3 atoms per molecule.

4. To determine who made the better buy in terms of price per ounce, we need to find the unit price for each candy purchase.

Calculation: Cost/Ounces = Unit Price
Tony: 76 cents / 13 ounces ≈ 5.85 cents per ounce
Tiffany: 46 cents / 3 ounces ≈ 15.33 cents per ounce

Since Tony's unit price is lower, Tony made the better buy in this case.

5. To determine who did more problems per minute, we need to calculate the rate by dividing the total number of problems by the time taken.

Calculation: Problems/Minutes = Rate
Larry: 10 problems / 17 minutes ≈ 0.588 problems per minute
Mary: 9 problems / 16 minutes ≈ 0.563 problems per minute

Larry did more problems per minute in this case.

6. To find the unit rate of punch mix to water, we divide the amount of punch mix by the amount of water.

Calculation: Punch Mix/Water = Unit Rate
15 fl oz / 3 qt = 5 fl oz per 1 qt

So, the unit rate is 5 fl oz per 1 qt.

7. To determine who walked faster, we need to compare their rates, which is the distance traveled per minute.

Calculation: Distance/Time = Rate
Kim: 3 miles / 21 minutes ≈ 0.143 miles per minute
Ted: 4.5 miles / 42 minutes ≈ 0.107 miles per minute

Kim walked faster in this case.

8. To compare the ratios of boys to the total students in each grade, we need to calculate the ratios for each grade and compare them.

Calculation: Boys/Total Students = Ratio
7th Grade: 58 boys / 120 total students
8th Grade: 62 girls / 120 total students

So, the ratio of boys to total students in the 7th grade is 58 : 120 and the ratio of boys to total students in the 8th grade is 62 : 120.

9. To find the ratio of racing games to total games, we divide the number of racing games by the total number of games.

Calculation: Racing Games/Total Games = Ratio
6 racing games / (6 racing games + 8 other sports games) = 6 : 14

So, the ratio of racing games to total games is 6 : 14.

Overall, your answers are mostly correct. For question 4, Tony made the better buy. Question 8 requires a comparison of ratios, not just a single ratio. And for question 9, the ratio of racing games to total games is 6 : 14. Great effort!