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)
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The total cost of the catering, venue, and DJ is $325 + $250 + $375 = $<<325+250+375=950>>950.
The state tax is 9% of $950, which is $950 * 0.09 = $<<950*0.09=85.50>>85.50.
The total cost including tax is $950 + $85.50 = $<<950+85.5=1035.5>>1035.50.
Shardell's portion of the total cost is half of that, which is $1035.5 / 2 = $<<1035.5/2=517.75>>517.75. Answer: \boxed{517.75}.
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)
The predicted number of bags the club needs to sell is 250.
The actual number of bags sold is 266.
To find the percent error, we first need to find the difference between the predicted and actual values: 266 - 250 = 16.
Next, we divide the difference by the predicted value (250) and multiply by 100 to find the percent error: (16/250) * 100 = 6.4.
Rounding to the nearest whole number, the percent error is 6%. Answer: \boxed{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)
The predicted weight of Sam is 60 pounds.
The actual weight of Sam is 75 pounds.
To find the percent error, we first need to find the difference between the predicted and actual values: 75 - 60 = 15.
Next, we divide the difference by the predicted value (60) and multiply by 100 to find the percent error: (15/60) * 100 = 25.
Rounding to the nearest whole number, the percent error is 25%. Answer: \boxed{25}.
Use proportional relationships to solve the following problem. Riley needs to earn enough money to purchase a new jacket. The one he likes best is $49.99. His state sales tax is 7.25%. How much money does he need to earn? Round to the nearest dollar.(1 point)
Responses
$54
$54
$82
$82
$50
$50
$3.62
To find out how much money Riley needs to earn, we need to add the sales tax to the price of the jacket.
Sales tax is given as 7.25% of the price of the jacket, which is ($49.99 * 7.25%) = $3.62.
Adding the sales tax to the price of the jacket, Riley needs to earn $49.99 + $3.62 = $<<49.99+3.62=53.61>>53.61.
Rounding to the nearest dollar, Riley needs to earn $54. Answer: \boxed{54}.
Rafeal’s family dinner costs $56.25. His dad wants him to leave a 35% tip. How much money should Rafeal provide as a tip? Round your answer to the nearest hundredth.(1 point)
Responses
$19.69
$19.69
$35.00
$35.00
$75.94
$75.94
$1.97
To find the amount of money Rafeal should provide as a tip, we need to calculate 35% of the cost of the dinner.
35% of $56.25 can be found by multiplying $56.25 by 0.35: $56.25 * 0.35 = $19.6875.
Rounding to the nearest hundredth, Rafeal should provide a tip of $19.69. Answer: \boxed{19.69}.
A university football stadium has 81,500 seats. The stadium is at full capacity on game day. Layla believes only 79,000 seats are occupied. Find the percent error of Layla’s prediction. Round your answer to the nearest hundredth of a percent.(1 point)
Responses
3.07%
3.07%
90.3067%
90.3067%
0.0307%
0.0307%
−3.07%