Question

a) Based on recent statistics, Green Way Airlines expects 4.2% of its customers will be “no shows”. If the airline sold 260 seats for a flight, how many people would the airline expect as “no-shows”? (Round to the nearest whole number)

b) If the airplane can hold 254 passengers, can all those who show up at the gate get on the plane? Explain

4. Volunteers from Habitat for Humanity are painting 16 interior walls in new homes that have been built. Each wall measures 14 feet by 6 2/3 feet. a) If a gallon of paint covers 400 square feet, how many gallons will be required to paint all the walls? (Round to next whole number) b) If each gallon costs $27.95, find the cost of the project.

5. In a recent year, wind machines in the United States generated 17.8 billion kilowatt-hours of electricity (enough to power more than 1.6 million households). The nation's total electricity production was 4450 billion kilowatt-hours. What percent of the total electrical energy production was generated by wind machines?

6. If a 5 1/4 inch line on a map represents a 9-mile road, how many miles would be represented by a 3 1/2 inch line?

7. At a fire sale, items are being sold at 3/4 off the marked price. What is the sale price of an item that has a marked price of $156?

8. Sixteen ounces of mouthwash costs $3.49 while a 33-ounce container of the same brand costs $6.99. Which is a better buy? Why?

9. The price of gasoline jumped from $3.24 per gallon to $4.05 per gallon in one year. What was the percent increase?

10. You buy 2.75 yards of material at $4.80 per yard and pay $0.87 sales tax. What is the total cost for your purchase?

11. Ruth orders clothes from a retail catalog. She orders two turtleneck tops for $35 each, two pairs of stretch pants for $45 each, one winter jacket for $130, and three leather belts for $25 each. The shipping and handling charge for the order is $15. What is the total charge for Ruth's order?

12. A recipe for a wedding punch calls for 12 quarts of champagne. If the champagne comes in bottles that are 4/5 of a quart, how many bottles of champagne would be needed?

13. One bank offers a 4-year car loan at an annual simple interest rate of 7% plus a loan application fee of $45. A second bank offers 4-year car loans at an annual simple interest rate of 8% but no loan application fee. If you need to borrow $5800 to purchase a car, which of the two bank loans has the lesser loan cost? (Assume you keep the car for all 4 years.)

14. In a recent survey of new car buyers, 20 of 63 men said they would prefer to buy a silver car while 16 of 49 women said they would prefer silver. a) Which group has a stronger preference for silver cars? b) Explain your answer

15. How many acres are contained in 1 square mile? (1 mile = 5280 ft.; 1 acre = 43,560 sq. ft.)

Answer 1

a.) The number of peoples, the airline expect as "no shows" are

Answer => 11

b.) Since, the number of customer with no shows are 11, so the number of customer shows up is obtained as (260-11) = 249. Hence, all the peoples shows up, can get on the plane, as the air plane can hold 254 passengers. (249 < 254)

4.) Volunteers are painting 16 interior walls, and each walls measure 14 feet by 6.67 feet.

So, the total feets for the painting is square feet.

a.) As, 400 square feet can be covered with 1 gallon of paint.

Then, 1493.33 square feet can be covered with gallons.

Answer => 4 gallons.

b.) If, 1 gallon costs $ 27.95

Then, 4 gallons costs

Answer => $111.8

5.) The percent of the total electrical energy production was generated by wind machines is obtained as,

Answer => 0.4%

6.) If a 5.25 inch line on a map represents a 9-mile road

Then, 3.5 inch line can represent a

Answer => 6 - mile road.

7.) The sale price of an item that has a marked price of $156, can be obtained as

Answer => 117

8.) If, 16 ounces of mouthwash costs $3.49

then, 1 ounce of mouthwash cost $3.49/16 = $0.218

Again, if a 33-ounce container of the same brand costs $6.99

then, 1 ounce of the same brand costs costs $6.99/33 = $0.2118

As, $0.2118 < $ 0.218, so a 33-ounce container of mouthwash is a better buy.

9.) Since, the price of gasoline jumped from $3.24 per gallon to $4.05 per gallon in one year

The percentage increase is

Answer = 25%

10.) If, you buy 2.75 yards of material at $4.80 per yard and pay $0.87 sales tax, then the total cost for your purchase will be

Answer => $11.484

11.) As, Ruth orders two turtleneck tops for $35 each, two pairs of stretch pants for $45 each, one winter jacket for $130, and three leather belts for $25 each with the shipping and handling charge for the order is $15. The total charge for Ruth's order is

Answer => $380

12.) If the champagne comes in bottles that are 4/5 of a quart,

Then, for 12 quart of champagne, bottles needed.

Answer => 15 bottles.

13.) Total amount to be paid to bank one is,

  

Again, Total amount to be paid to bank two is,

  

Hence, as 7469 < 7656, First bank has lesser cost.

14.) As, 20 of 63 men said they would prefer to buy a silver car

This implies,

So, 31.746% men pefer to buy a silver car.

And, 16 of 49 women said they would prefer silver.

This implies,

So, 32.65% women pefer silver.

Therefore, Women has a stronger preference of silver car. Since, 32.65% of women prefers whereas 31.746% of men prefers. (32.65 < 31.746).

15.) 1 mile = 5280 ft

=> 1 square mile = 5280*5280 square ft

As, 43560 square ft = 1 acre

=> 5280*5280 square ft =

Answer => 640 acre.