1. Landscape Elementary uses 14 reams of paper every 3 weeks. How many reams of paper do they use each week? Round the answer to the nearest hundredth.(1 point)
2. jennie is making popcorn. the recipe calls for 1/2 cup of butter, 3 tablespoons of kernels, and 1 teaspoon of salt. if she uses 10 tablespoons of kernels, how much butter does she need? round your answer to the nearest hundredth. (1 point)
3. The movie theater sold 345 tickets to a show. If 2/3 of the tickets sold were adult tickets, which cost $13.95 each, how much money did the theater make from the sale of children’s tickets if they cost 2/3 of the amount of adult tickets? Answer with a dollar amount rounded to the nearest hundredth, placing commas in appropriate places.(1 point)
4. Louisa purchased a new snake for $199.00. Sales tax is 7.25%. What is her total bill? Round your answer to the nearest hundredth.(1 point)
5. Jesse buys his coworkers lunch from the local steakhouse. The food costs $105.79, and the sales tax rate is 9%. Jesse wants to leave a 20% tip based on the pre-tax amount. How much will the total be, including tax and tip?(1 point)
6. Mark and Matthew signed up to walk in a 5K walk/run race. They predict it will take them 60 minutes to complete the race. Mark and Matthew finished the race in 53 minutes. What is the percent error? Round to the nearest tenth.(1 point)
7. Use the conversion ratio 1 liter equals 1,000 milliliters. A cylinder holds 6,750 milliliters. How many liters does it hold?(1 point)
8. Use the ratio 1 gallon equals about 3,785 milliliters. A container holds 34,065 milliliters. How many gallons does the container hold?(1 point)
9. Use the conversion ratio 1 kilometer equals about 0.62 miles to solve the following problem. An airplane travels about 900 kilometers per hour. What is the airplane’s speed in miles per hour?(1 point)
10. Leo designs a piece of jewelry in the shape of a regular pentagon. Each side of the object measures 3 centimeters. Leo photographs the object, enlarges it so that the sides each measure 8 centimeters, and prints the photo. What scale factor did Leo use to create the photograph from the original?(1 point)
1 answer
2. If the recipe calls for 3 tablespoons of kernels, and Jennie uses 10 tablespoons, then she needs 10/3 = 3.33 times the amount of butter. So she needs 1/2 x 3.33 = 1.67 cups of butter.
3. If 2/3 of the tickets sold were adult tickets, then 1/3 were children's tickets. The theater sold 345 x 1/3 = 115 children's tickets. If adult tickets cost $13.95 each, then children's tickets cost 2/3 x 13.95 = $9.30 each. Therefore, the theater made 115 x 9.30 = $1069.50 from the sale of children's tickets.
4. Sales tax of 7.25% on a $199.00 purchase is 199 x 0.0725 = $14.42. Therefore, Louisa's total bill is 199 + 14.42 = $213.42.
5. The sales tax on a $105.79 food cost is 105.79 x 0.09 = $9.52. Therefore, the total cost including tax is 105.79 + 9.52 = $115.31. The pre-tax amount is $105.79, and a 20% tip on that amount is 105.79 x 0.20 = $21.16. Therefore, the total cost including tax and tip is 115.31 + 21.16 = $136.47.
6. The percent error is calculated by taking the absolute value of the difference between the predicted time and the actual time, dividing it by the predicted time, and then multiplying by 100 to get a percentage. So, (|53 - 60| / 60) x 100 = 11.67%.
7. A cylinder holds 6,750/1000 = 6.75 liters.
8. A container holds 34,065/3785 = 9 gallons.
9. An airplane travels about 900 x 0.62 = 558 miles per hour.
10. The scale factor is calculated by dividing the enlarged side length by the original side length. So, 8/3 = 2.67 is the scale factor Leo used to create the photograph.