To determine who biked at a faster rate, we'll calculate the speed for both Polly and Amira.
**Polly:**
- Distance: 30 miles
- Time: 4 hours
Speed = \(\frac{\text{Distance}}{\text{Time}}\)
Polly's speed:
\[ \text{Speed} = \frac{30 \text{ miles}}{4 \text{ hours}} = 7.5 \text{ miles per hour} \]
**Amira:**
- Distance: 24 miles
- Time: 3 hours
Speed = \(\frac{\text{Distance}}{\text{Time}}\)
Amira's speed:
\[ \text{Speed} = \frac{24 \text{ miles}}{3 \text{ hours}} = 8 \text{ miles per hour} \]
Comparing the two speeds:
- Polly's speed: 7.5 miles per hour
- Amira's speed: 8 miles per hour
Amira biked at a faster rate than Polly.
Polly and Amira are trying for a bike race. Polly bikes, 30 miles and four hours. Amira like 24 miles and three hours. Assuming that they each travel at constant speed, who biked at a faster rate?
11 answers
Ariana and Jared are each entering their homemade tomato sauce and a cooking contest. Ariana‘s recipe uses 15 tablespoons of fresh basil for 6 quarts of sauce. Jared recipe uses 9 tablespoons of fresh basil for 4 quarts of sauce. Who uses more basil per quart of sauce?
To determine who uses more basil per quart of sauce, we'll calculate the amount of basil used per quart for both Ariana and Jared.
**Ariana:**
- Basil: 15 tablespoons
- Sauce: 6 quarts
Basil per quart for Ariana:
\[ \text{Basil per quart} = \frac{15 \text{ tablespoons}}{6 \text{ quarts}} = 2.5 \text{ tablespoons per quart} \]
**Jared:**
- Basil: 9 tablespoons
- Sauce: 4 quarts
Basil per quart for Jared:
\[ \text{Basil per quart} = \frac{9 \text{ tablespoons}}{4 \text{ quarts}} = 2.25 \text{ tablespoons per quart} \]
Comparing the two:
- Ariana: 2.5 tablespoons per quart
- Jared: 2.25 tablespoons per quart
Ariana uses more basil per quart of sauce than Jared.
**Ariana:**
- Basil: 15 tablespoons
- Sauce: 6 quarts
Basil per quart for Ariana:
\[ \text{Basil per quart} = \frac{15 \text{ tablespoons}}{6 \text{ quarts}} = 2.5 \text{ tablespoons per quart} \]
**Jared:**
- Basil: 9 tablespoons
- Sauce: 4 quarts
Basil per quart for Jared:
\[ \text{Basil per quart} = \frac{9 \text{ tablespoons}}{4 \text{ quarts}} = 2.25 \text{ tablespoons per quart} \]
Comparing the two:
- Ariana: 2.5 tablespoons per quart
- Jared: 2.25 tablespoons per quart
Ariana uses more basil per quart of sauce than Jared.
Employee is at scrumptious smoothies use 4 cups of strawberries to make eight strawberry bananas smoothies. Make four kiwi, strawberry smoothies, they use 3 cups of strawberries. Which flavor uses more cups of strawberries per smoothie, strawberry banana or kiwi strawberry?
To determine which flavor uses more cups of strawberries per smoothie, we'll calculate the amount of strawberries used per smoothie for both the Strawberry Banana and the Kiwi Strawberry flavors.
**Strawberry Banana:**
- Cups of strawberries: 4 cups
- Number of smoothies: 8 smoothies
Strawberries per smoothie for Strawberry Banana:
\[ \text{Strawberries per smoothie} = \frac{4 \text{ cups}}{8 \text{ smoothies}} = 0.5 \text{ cups per smoothie} \]
**Kiwi Strawberry:**
- Cups of strawberries: 3 cups
- Number of smoothies: 4 smoothies
Strawberries per smoothie for Kiwi Strawberry:
\[ \text{Strawberries per smoothie} = \frac{3 \text{ cups}}{4 \text{ smoothies}} = 0.75 \text{ cups per smoothie} \]
Comparing the amounts:
- Strawberry Banana: 0.5 cups per smoothie
- Kiwi Strawberry: 0.75 cups per smoothie
The Kiwi Strawberry flavor uses more cups of strawberries per smoothie than the Strawberry Banana flavor.
**Strawberry Banana:**
- Cups of strawberries: 4 cups
- Number of smoothies: 8 smoothies
Strawberries per smoothie for Strawberry Banana:
\[ \text{Strawberries per smoothie} = \frac{4 \text{ cups}}{8 \text{ smoothies}} = 0.5 \text{ cups per smoothie} \]
**Kiwi Strawberry:**
- Cups of strawberries: 3 cups
- Number of smoothies: 4 smoothies
Strawberries per smoothie for Kiwi Strawberry:
\[ \text{Strawberries per smoothie} = \frac{3 \text{ cups}}{4 \text{ smoothies}} = 0.75 \text{ cups per smoothie} \]
Comparing the amounts:
- Strawberry Banana: 0.5 cups per smoothie
- Kiwi Strawberry: 0.75 cups per smoothie
The Kiwi Strawberry flavor uses more cups of strawberries per smoothie than the Strawberry Banana flavor.
Make bot 4 1/2 yards of fabric to make purses to sell a craft fair. Each purse will use 1/3 of the fabric meg bot. How much fabric will be used for each purse?
To determine how much fabric will be used for each purse, we'll calculate \(\frac{1}{3}\) of the total fabric Meg bought.
Meg bought \(4 \frac{1}{2}\) yards, which is equivalent to \(4.5\) yards.
To find \(\frac{1}{3}\) of this fabric:
\[ \frac{1}{3} \times 4.5 \text{ yards} = \frac{4.5}{3} \text{ yards} = 1.5 \text{ yards} \]
So, each purse will use 1.5 yards of fabric.
Meg bought \(4 \frac{1}{2}\) yards, which is equivalent to \(4.5\) yards.
To find \(\frac{1}{3}\) of this fabric:
\[ \frac{1}{3} \times 4.5 \text{ yards} = \frac{4.5}{3} \text{ yards} = 1.5 \text{ yards} \]
So, each purse will use 1.5 yards of fabric.
Noah and Jasmine are learning how to net scarves. Noah scarf is one and a half feet long. Jasmine scarf is 2 1/2 times that length. How long is Jasmine scarf?
To find out how long Jasmine's scarf is, we need to calculate \(2 \frac{1}{2}\) times the length of Noah's scarf.
Noah's scarf length:
\[ 1 \frac{1}{2} \text{ feet} = 1.5 \text{ feet} \]
Jasmine's scarf is \(2 \frac{1}{2}\) times Noah's scarf length, which is:
\[ 2 \frac{1}{2} = 2 + \frac{1}{2} = 2.5 \]
Now, multiply the length of Noah's scarf by \(2.5\):
\[ 2.5 \times 1.5 = 3.75 \text{ feet} \]
Jasmine's scarf is 3.75 feet long.
Noah's scarf length:
\[ 1 \frac{1}{2} \text{ feet} = 1.5 \text{ feet} \]
Jasmine's scarf is \(2 \frac{1}{2}\) times Noah's scarf length, which is:
\[ 2 \frac{1}{2} = 2 + \frac{1}{2} = 2.5 \]
Now, multiply the length of Noah's scarf by \(2.5\):
\[ 2.5 \times 1.5 = 3.75 \text{ feet} \]
Jasmine's scarf is 3.75 feet long.
Brian soccer team has played 12 games this year. They won 3/4 of their games. At the games they won, they celebration with pizza after 2/3 of them. How many games did Brian‘s team celebrate with pizza?
To find out how many games Brian's team celebrated with pizza, we'll follow these steps:
1. Determine the number of games they won.
2. Determine the number of games they celebrated with pizza.
**Step 1: Determine the number of games they won.**
The team won \(\frac{3}{4}\) of their games.
Number of games won:
\[ \frac{3}{4} \times 12 = 9 \text{ games} \]
**Step 2: Determine the number of games they celebrated with pizza.**
They celebrated with pizza after \(\frac{2}{3}\) of the games they won.
Number of games celebrated with pizza:
\[ \frac{2}{3} \times 9 = 6 \text{ games} \]
Brian's team celebrated with pizza after 6 games.
1. Determine the number of games they won.
2. Determine the number of games they celebrated with pizza.
**Step 1: Determine the number of games they won.**
The team won \(\frac{3}{4}\) of their games.
Number of games won:
\[ \frac{3}{4} \times 12 = 9 \text{ games} \]
**Step 2: Determine the number of games they celebrated with pizza.**
They celebrated with pizza after \(\frac{2}{3}\) of the games they won.
Number of games celebrated with pizza:
\[ \frac{2}{3} \times 9 = 6 \text{ games} \]
Brian's team celebrated with pizza after 6 games.