Multiply -1 16 by -7. Write your product as a mixed number.

Question

GPT-4o mini · Answer

To multiply $-\frac{1}{16}$ by $-7$, we can follow these steps: 1. Multiply the numerators: $$ -1 \times -7 = 7 $$ 2. The denominator remains: $$ 16 $$ So, we can write this as: $$ \frac{7}{16} $$ Since $\frac{7}{16}$ is already a proper fraction (the numerator is less than the denominator), it can also be represented as a mixed number. However, since there is no whole part, the mixed number representation is the same as the improper fraction: Therefore, the product of $-\frac{1}{16}$ and $-7$ is: $$ \frac{7}{16} $$

SageSnow! · Answer

Divide: −9.655 ÷ 0.5(1 point) Responses

GPT-4o mini · Answer

To divide $-9.655$ by $0.5$, you can simplify this division as follows: $$ -9.655 \div 0.5 = -9.655 \times 2 $$ When dividing by $0.5$, it is the same as multiplying by $2$. Now calculate the multiplication: $$ -9.655 \times 2 = -19.31 $$ So, the result of $-9.655 \div 0.5$ is: $$ \boxed{-19.31} $$

SageSnow! · Answer

Delaney wants to sell her bicycle. The original price of the bike was $150. The bike's value has changed by - 25 percent of the original price. What is the current value of the bike?(1 point)

GPT-4o mini · Answer

To find the current value of Delaney's bicycle after a decrease of 25% from the original price, we can follow these steps:

Calculate the amount reduced: \[ \text{Decrease} = \text{Original Price} \times \text{Percentage Decrease} \] \[ \text{Decrease} = 150 \times 0.25 = 37.5 \]
Calculate the current value: \[ \text{Current Value} = \text{Original Price} - \text{Decrease} \] \[ \text{Current Value} = 150 - 37.5 = 112.5 \]

So, the current value of the bike is $112.50.

SageSnow! · Answer

Delaney wants to sell her bicycle. The original price of the bike was $150. The bike's value has changed by - 2/5 percent of the original price. What is the current value of the bike?(1 point)

GPT-4o mini · Answer

To find the current value of Delaney's bicycle after a decrease of $-\frac{2}{5}$ percent of the original price, follow these steps:

Convert the fraction to a percentage: \[ -\frac{2}{5} \text{ percent} = -0.4 \text{ percent} = -0.004 \text{ (as a decimal)} \]
Calculate the amount reduced: \[ \text{Decrease} = \text{Original Price} \times \left(-\frac{2}{5} \text{ percent}\right) \] \[ \text{Decrease} = 150 \times -0.004 = -0.6 \]
Calculate the current value: Since the value has decreased, we subtract the decrease from the original price: \[ \text{Current Value} = \text{Original Price} - \text{Decrease} \] \[ \text{Current Value} = 150 - (-0.6) = 150 + 0.6 = 150.6 \]

Thus, the current value of the bike is $150.60.

SageSnow! · Answer

An ice cream shop has 2 large containers of ice cream. Each container contains 12 cups of ice cream. How many 34 cup servings of ice cream can be served from the 2 containers? Show/Explain your steps for solving this problem.(3 points)

GPT-4o mini · Answer

To find out how many $ \frac{3}{4} $ cup servings of ice cream can be served from the 2 large containers, follow these steps: ### Step 1: Calculate the Total Volume of Ice Cream Each container contains 12 cups of ice cream, and there are 2 containers. $$ \text{Total ice cream} = \text{Number of containers} \times \text{Cups per container} = 2 \times 12 = 24 \text{ cups} $$ ### Step 2: Determine the Volume of Each Serving Each serving is $ \frac{3}{4} $ cups. ### Step 3: Calculate the Number of Servings To find out how many $ \frac{3}{4} $ cup servings can be made from 24 cups, we can divide the total ice cream by the size of each serving. 1. First, convert $ \frac{3}{4} $ to a decimal to make the calculation easier if desired. But in this case, we will use fractions to avoid conversion. $$ \text{Number of servings} = \frac{\text{Total ice cream}}{\text{Serving size}} = \frac{24}{\frac{3}{4}} $$ 2. To divide by a fraction, multiply by its reciprocal. Therefore: $$ \text{Number of servings} = 24 \times \frac{4}{3} $$ 3. Calculate: $$ 24 \times \frac{4}{3} = \frac{24 \times 4}{3} = \frac{96}{3} = 32 $$ ### Conclusion The ice cream shop can serve **32 servings** of $ \frac{3}{4} $ cup ice cream from the 2 containers.

SageSnow! · Answer

An ice cream shop has 2 large containers of ice cream. Each container contains 12 cups of ice cream. How many 3/4 cup servings of ice cream can be served from the 2 containers? Show/Explain your steps for solving this problem.(3 points)

GPT-4o mini · Answer

To determine how many $ \frac{3}{4} $ cup servings can be served from 2 large containers of ice cream, where each container contains 12 cups of ice cream, follow these steps: ### Step 1: Calculate the Total Volume of Ice Cream Each container holds 12 cups, and there are 2 containers. $$ \text{Total ice cream} = \text{Number of containers} \times \text{Cups per container} $$ $$ \text{Total ice cream} = 2 \times 12 = 24 \text{ cups} $$ ### Step 2: Determine the Volume of Each Serving Each serving size is $ \frac{3}{4} $ cup. ### Step 3: Calculate the Number of Servings To find the number of $ \frac{3}{4} $ cup servings that can be made from 24 cups of ice cream, we divide the total amount of ice cream by the size of each serving. This can be expressed mathematically as: $$ \text{Number of servings} = \frac{\text{Total ice cream}}{\text{Serving size}} = \frac{24}{\frac{3}{4}} $$ ### Step 4: Dividing by a Fraction To divide by a fraction, you multiply by its reciprocal: $$ \text{Number of servings} = 24 \times \frac{4}{3} $$ ### Step 5: Perform the Calculation 1. Calculate the product: $$ 24 \times \frac{4}{3} = \frac{24 \times 4}{3} = \frac{96}{3} = 32 $$ ### Conclusion Thus, the ice cream shop can serve **32 servings** of $ \frac{3}{4} $ cup ice cream from the 2 containers.