Jamie is building a box by the pool for the pool toys. They want the box’s volume to be 31.5 cubic feet. The space can hold a box that is 4.5 ft. long and 2.5 ft. wide. How high should the box be in order to meet the volume requirement? Write your answer in decimal form. (The volume of a box is length times width times height.)(1 point)
ft.
To find the amount of small bags of candy that can be made from each large bag, we need to divide the weight of the large bag by the weight of each small bag:
Number of small bags = Weight of large bag / Weight of each small bag
Plugging in the given values:
Number of small bags = 18.8 pounds / 0.75 pounds
Number of small bags ≈ 25 bags (rounded to the nearest whole bag)
Next, to find the total amount that can be made from each large bag, we need to multiply the number of small bags by the price per bag:
Total amount = Number of small bags * Price per bag
Plugging in the given values:
Total amount = 25 bags * $1.50 per bag
Total amount = $37.50
Therefore, Gabi and her girlfriend can make approximately $37.50 from each large bag of candy.
To find the height of the box, we can rearrange the volume formula to solve for the height:
Volume = length * width * height
Therefore, height = Volume / (length * width)
Plugging in the given values:
height = 31.5 cubic feet / (4.5 ft * 2.5 ft)
height = 31.5 cubic feet / 11.25 square feet
height ≈ 2.8 feet (rounded to one decimal place)
Therefore, Jamie should build the box to be approximately 2.8 feet high.
Gaston and his wife, Giselle, are driving to a friend’s wedding 258.6 miles from home. If they average 55.8 mph, how long will it take to get to the wedding? Write your answer in decimal form and round to the nearest tenth.(1 point)
hours
To find the time it will take to get to the wedding, we can use the formula:
Time = Distance / Speed
Plugging in the given values:
Time = 258.6 miles / 55.8 mph
Time ≈ 4.63 hours (rounded to one decimal place)
Therefore, it will take approximately 4.6 hours for Gaston and Giselle to get to the wedding.
Marcel stopped at the gas station to fill up on his way home from work. His total credit card charge is $28.55, and he got 10.65 gallons of gas. What was the price per gallon? Round to the nearest cent.(1 point)
$
To find the price per gallon, we can divide the total credit card charge by the number of gallons of gas:
Price per gallon = Total credit card charge / Number of gallons of gas
Plugging in the given values:
Price per gallon = $28.55 / 10.65 gallons
Price per gallon ≈ $2.68 (rounded to the nearest cent)
Therefore, the price per gallon is approximately $2.68.
Gabi and her girlfriend are running a booth at the carnival selling small decorated bags of candy. In order to make more profit, they purchase candy in a large bag that they will sort into 0.75-pound bags of candy. They were able to find large bags of candy that contain 18.8 pounds of candy. If they are selling the small bags of candy for $1.50, how much can they make from each large bag? Round to the nearest whole bag of candy and the nearest cent.(1 point)
If an airplane can travel 875.9 miles in 2.3 hours, what is the average speed of the plane? Round to the nearest hundredth.
To find the average speed of the plane, we can use the formula:
Average Speed = Distance / Time
In this case, the distance is 875.9 miles and the time is 2.3 hours.
Average Speed = 875.9 miles / 2.3 hours
Average Speed ≈ 380.82 mph (rounded to the nearest hundredth)
Therefore, the average speed of the plane is approximately 380.82 mph.