Ken, Mike, and Ariel are eating out at their favorite restaurant. They each order a sandwich combo and plan to split the bill evenly. The service they receive at the restaurant is amazing, so they decide to leave a 30% tip. Their bill total is $50.88 before tax. If Florida’s sales tax is 6%, how much will each person pay? Both tip and tax are calculated based on the original total of the bill. Round the tip and the tax to the nearest hundredth immediately after calculating. Round your final answer to the nearest hundredth.(1 point

Answer 1

To calculate how much each person will pay, we first need to determine the total amount of the bill including tax and tip.

1. Calculate the Sales Tax: The sales tax is 6% of the bill total.

   \[ \text{Sales Tax} = \text{Bill Total} \times \text{Tax Rate} = 50.88 \times 0.06 = 3.0528 \]

   Rounding to the nearest hundredth, the sales tax is:

   \[ \text{Sales Tax} = 3.05 \]

2. Calculate the Tip: The tip is 30% of the bill total.

   \[ \text{Tip} = \text{Bill Total} \times \text{Tip Rate} = 50.88 \times 0.30 = 15.264 \]

   Rounding to the nearest hundredth, the tip is:

   \[ \text{Tip} = 15.26 \]

3. Calculate the Total Bill Amount: Now we add the original bill amount, sales tax, and tip to find the total bill.

   \[ \text{Total Bill} = \text{Bill Total} + \text{Sales Tax} + \text{Tip} \]

   \[ \text{Total Bill} = 50.88 + 3.05 + 15.26 = 69.19 \]

4. Split the Total Bill Among Three People: Since they are splitting the bill evenly among Ken, Mike, and Ariel, we divide the total bill by 3.

   \[ \text{Amount per Person} = \frac{\text{Total Bill}}{3} = \frac{69.19}{3} = 23.0633 \]

   Rounding to the nearest hundredth, the amount each person pays is:

   \[ \text{Amount per Person} = 23.06 \]

Thus, each person will pay $23.06.

Answer 2

Shardell and Marsha are planning a party. Since they are both hosting, they have agreed to split the cost for everything in half. The catering bill is $325, the venue bill is $250, and the DJ is $375. If state tax is 9%, what will Shardell’s portion cost?(1 point)

Answer 3

To calculate Shardell’s portion of the overall party costs, we need to follow these steps:

1. Calculate the Total Cost Before Tax: Add the costs of the catering, venue, and DJ services.

   \[ \text{Total Cost Before Tax} = \text{Catering} + \text{Venue} + \text{DJ} \]

   \[ \text{Total Cost Before Tax} = 325 + 250 + 375 = 950 \]

2. Calculate the Sales Tax: The sales tax is 9% of the total cost before tax.

   \[ \text{Sales Tax} = \text{Total Cost Before Tax} \times \text{Tax Rate} = 950 \times 0.09 = 85.5 \]

3. Calculate the Total Cost Including Tax: Now, add the sales tax to the total cost before tax to find the total cost including tax.

   \[ \text{Total Cost Including Tax} = \text{Total Cost Before Tax} + \text{Sales Tax} \]

   \[ \text{Total Cost Including Tax} = 950 + 85.5 = 1035.5 \]

4. Calculate Shardell's Portion: Since Shardell and Marsha split the total cost in half, we divide the total cost including tax by 2.

   \[ \text{Shardell's Portion} = \frac{\text{Total Cost Including Tax}}{2} = \frac{1035.5}{2} = 517.75 \]

Shardell’s portion of the costs will be $517.75.

Answer 4

A photography club would like to raise money for a local health organization by selling popcorn. The club predicts they need to sell 250 bags of popcorn to reach their goal. At the end of the fundraiser, they sold 266 bags of popcorn and met their goal. What is the percent error? Round the answer to the nearest whole number.(1 point

Answer 5

To calculate the percent error, we can use the following formula:

\[ \text{Percent Error} = \left(\frac{\text{Actual Value} - \text{Expected Value}}{\text{Expected Value}}\right) \times 100% \]

In this case:

• Expected Value is the predicted number of bags sold: 250
• Actual Value is the actual number of bags sold: 266

Now, let's plug in the values:

1. Calculate the error (difference between actual and expected):

\[ \text{Error} = \text{Actual Value} - \text{Expected Value} = 266 - 250 = 16 \]

2. Calculate the percent error:

\[ \text{Percent Error} = \left(\frac{16}{250}\right) \times 100% \]

\[ \text{Percent Error} = 0.064 \times 100 = 6.4% \]

Finally, rounding to the nearest whole number:

\[ \text{Percent Error} \approx 6% \]

Therefore, the percent error is 6%.

Answer 6

Krisha has a chocolate Labrador retriever named Sam. She believes her dog weighs 60 pounds. Sam’s actual weight is 75 pounds. Find the percent error. (1 point)

Answer 7

To calculate the percent error, we can use the following formula:

\[ \text{Percent Error} = \left(\frac{\text{Actual Value} - \text{Expected Value}}{\text{Expected Value}}\right) \times 100% \]

In this case:

• Expected Value is Krisha's belief about Sam's weight: 60 pounds
• Actual Value is Sam's actual weight: 75 pounds

Now, let's plug in the values:

1. Calculate the error (the difference between actual and expected):

\[ \text{Error} = \text{Actual Value} - \text{Expected Value} = 75 - 60 = 15 \]

2. Calculate the percent error:

\[ \text{Percent Error} = \left(\frac{15}{60}\right) \times 100% \]

\[ \text{Percent Error} = 0.25 \times 100 = 25% \]

Therefore, the percent error is 25%.

Answer 8

Are you sure my answer is wrongs

Answer 9

Let's go through the percent error calculation again step by step to verify:

Formula for Percent Error

The formula for percent error is:

\[ \text{Percent Error} = \left(\frac{\text{Actual Value} - \text{Expected Value}}{\text{Expected Value}}\right) \times 100% \]

Values

• Expected Value (Krisha's belief about Sam's weight): 60 pounds
• Actual Value (Sam's actual weight): 75 pounds

Calculation Steps

1. Calculate the error (the difference between actual and expected):

   \[ \text{Error} = \text{Actual Value} - \text{Expected Value} = 75 - 60 = 15 \]

2. Calculate the percent error:

   \[ \text{Percent Error} = \left(\frac{15}{60}\right) \times 100% \]

   \[ \text{Percent Error} = 0.25 \times 100 = 25% \]

Conclusion

The percent error is indeed 25%.

If your answer differs, please provide your calculations so I could help clarify any misunderstandings!