Question

Martin made a veggie pizza on a whole wheat crust. He used 16 ounces of cheese. He cut his pizza into 8 slices. There are ounces of cheese in one slice of pizza. There are grams of carbohydrates from mozzarella cheese in each slice. There are grams of carbohydrates from mozzarella cheese in the entire pizza.

Answer 1

To determine the amount of cheese, carbohydrates per slice, and total carbohydrates in the pizza, we need to break it down step by step.

Step 1: Calculate the Amount of Cheese per Slice

Martin used a total of 16 ounces of cheese for the entire pizza and cut it into 8 slices.

\[ \text{Cheese per slice} = \frac{\text{Total cheese}}{\text{Number of slices}} = \frac{16 \text{ ounces}}{8} = 2 \text{ ounces} \]

Step 2: Determine the Carbohydrates from Mozzarella Cheese

The carbohydrate content in mozzarella cheese is typically around 1 gram of carbohydrates per ounce. Therefore, for each slice of pizza:

\[ \text{Carbohydrates per slice} = \text{Cheese per slice} \times \text{Carbohydrates per ounce} = 2 \text{ ounces} \times 1 \text{ gram/ounce} = 2 \text{ grams} \]

Step 3: Calculate Total Carbohydrates in the Entire Pizza

To find the total carbohydrates in the entire pizza:

\[ \text{Total carbohydrates} = \text{Carbohydrates per slice} \times \text{Number of slices} = 2 \text{ grams} \times 8 = 16 \text{ grams} \]

Summary of Results

• Ounces of cheese in one slice of pizza: 2 ounces
• Grams of carbohydrates from mozzarella cheese in each slice: 2 grams
• Grams of carbohydrates from mozzarella cheese in the entire pizza: 16 grams

Answer 2

nope wrong

Answer 3

I apologize for any confusion. Let's clarify the calculations step by step and ensure we get the correct values.

Given Information

• Total cheese: 16 ounces
• Number of slices: 8

Step 1: Calculate Cheese Per Slice

To find the amount of cheese in one slice:

\[ \text{Cheese per slice} = \frac{\text{Total cheese}}{\text{Number of slices}} = \frac{16 \text{ ounces}}{8} = 2 \text{ ounces} \]

Step 2: Carbohydrate Content of Mozzarella Cheese

Mozzarella cheese generally contains about 1 gram of carbohydrates per ounce.

To calculate the carbohydrates per slice:

\[ \text{Carbohydrates per slice} = \text{Cheese per slice} \times \text{Carbohydrates per ounce} = 2 \text{ ounces} \times 1 \text{ gram/ounce} = 2 \text{ grams} \]

Step 3: Total Carbohydrates in the Entire Pizza

Now, to find the total carbohydrates from all the cheese in the pizza:

\[ \text{Total carbohydrates} = \text{Carbohydrates per slice} \times \text{Number of slices} = 2 \text{ grams} \times 8 = 16 \text{ grams} \]

Final Summary

• Ounces of cheese in one slice of pizza: 2 ounces
• Grams of carbohydrates from mozzarella cheese in each slice: 2 grams
• Grams of carbohydrates from mozzarella cheese in the entire pizza: 16 grams

If any of the assumptions about the cheese's carbohydrate content or other details do not align with your expectations, please provide the correct information, and I'll adjust the calculations accordingly.

Answer 4

Maya needs to buy 10.4 tons of rocks for her landscaping company. Each ton of rocks costs $32.90. The salesperson offers to sell the rocks to Maya for $330.

Is Maya saving money if she agrees to this deal?

How much should Maya actually be charged for the rocks?

Answer 5

To determine if Maya is saving money by accepting the salesperson's deal, we first need to calculate the total cost of the rocks based on the standard price per ton, and then compare it to the offered price.

Step 1: Calculate the Total Cost of Rocks at Standard Price

Maya needs 10.4 tons of rocks, and each ton costs $32.90.

\[ \text{Total cost} = \text{Number of tons} \times \text{Cost per ton} \]

\[ \text{Total cost} = 10.4 \text{ tons} \times 32.90 \text{ dollars/ton} = 342.16 \text{ dollars} \]

Step 2: Compare with Salesperson's Offer

The salesperson offers to sell the rocks for $330.

Step 3: Check for Savings

Now we can compare the two amounts:

• Total cost at standard price: $342.16
• Salesperson's offer: $330

Now we calculate the savings:

\[ \text{Savings} = \text{Standard cost} - \text{Salesperson's offer} \]

\[ \text{Savings} = 342.16 - 330 = 12.16 \text{ dollars} \]

Conclusion

Maya is saving money by agreeing to the salesperson's deal.

• Total cost Maya should be charged at the standard rate: $342.16
• Salesperson's offer: $330
• Savings: $12.16

Answer 6

you sure?

Answer 7

Let's double-check the calculations step-by-step to ensure accuracy.

Step 1: Calculate the Total Cost of Rocks at Standard Price

1. Cost per ton: $32.90
2. Tons required: 10.4 tons

Calculating the total cost:

\[ \text{Total cost} = \text{Number of tons} \times \text{Cost per ton} \] \[ \text{Total cost} = 10.4 \times 32.90 = 342.16 \text{ dollars} \]

Step 2: Compare with Salesperson's Offer

The salesperson's offer is $330.

Step 3: Check Savings

Now, let's see whether Maya is saving money:

• Total cost at standard price: $342.16
• Salesperson's offer: $330

Calculating savings:

\[ \text{Savings} = \text{Standard cost} - \text{Salesperson's offer} \] \[ \text{Savings} = 342.16 - 330 = 12.16 \text{ dollars} \]

Conclusion

Maya would save $12.16 if she agrees to the salesperson's deal.

To summarize:

• Total cost she should be charged at the standard price: $342.16
• Salesperson's offer: $330
• Maya is saving money: $12.16

Thus, my original assessment was indeed correct. If there are any particular concerns or additional details you'd like to discuss, please let me know!