can someone help me figure these ones
i know the answers but how do you get them?
#3 It costs $1 per sqaure yard to waterproof canvas. What will it cost to waterproof a canvas truck cover that is 15'x 24'? answer; $40
#4 A part time employee worked a total of 16 1/2 hours during 5 days of the past week. What was this employee's average workday? answer 3 hrs and 18 mins
#6 After an article is discounted at 25% it sells for $112.50. The original price of the article was? answer 150.00
#7 A plane left new york at 3:30 p.m. est and arrived in los angelas at 4:15 p.m. Pst. How long did the flight take?
I usually get these kinds of questions but with the time changes i don't get it. answer 3 hrs and 15 mins
#3 It costs $1 per sqaure yard to waterproof canvas. What will it cost to waterproof a canvas truck cover that is 15'x 24'? answer; $40
Area = 15' x 24' = ?? square feet.
Convert square feet to square yards knowing there are 9 square feet in 1 square yard. Then # square yards x $1 per square yard = total cost.
#4 A part time employee worked a total of 16 1/2 hours during 5 days of the past week. What was this employee's average workday? answer 3 hrs and 18 mins
16.5 hours/5 days = average hours/day. = 3.3 hours. or the 0.3 can converted to minutes by 60 min/hr x 0.3 hr = 18 minutes.
#6 After an article is discounted at 25% it sells for $112.50. The original price of the article was? answer 150.00
cost - 0.25 x cost = 112.50
cost and 1 x cost are the same so re can rewrite it as
1 x cost - 0.25 x cost = 112.50
0.75 x cost = 112.50
cost = 112.50/0.75 = ??
#7 A plane left new york at 3:30 p.m. est and arrived in los angelas at 4:15 p.m. Pst. How long did the flight take?
I usually get these kinds of questions but with the time changes i don't get it. answer 3 hrs and 15 mins
The time difference between NY and LA is 3 hours. So take the difference between 3:30 and 4:15 = :45 or 45 minutes. So the flight took 3 hours and 45 minutes. Check my thinking. I believe the answer of 3 hours and 15 minutes is not correct.
#3 To calculate the cost of waterproofing the canvas truck cover, you need to find the area of the cover in square yards and multiply it by the cost of waterproofing per square yard, which is $1.
First, you need to convert the dimensions of the cover from feet to yards. Since there are 3 feet in a yard, the dimensions become 15/3 = 5 yards and 24/3 = 8 yards.
Next, calculate the area of the cover by multiplying the length and width in yards: 5 yards x 8 yards = 40 square yards.
Finally, multiply the area by the cost per square yard: 40 square yards x $1 per square yard = $40. Therefore, it will cost $40 to waterproof the canvas truck cover.
#4 To determine the average workday of the part-time employee, divide the total number of hours worked (16.5 hours) by the number of days worked (5 days).
Dividing 16.5 by 5 gives an average of 3.3 hours. This means that the employee worked an average of 3 hours and 18 minutes per day. To convert the decimal part of the hour to minutes, multiply 0.3 by 60. Therefore, the employee's average workday is 3 hours and 18 minutes.
#6 To find the original price of the article after a 25% discount, you need to set up an equation. Let's assume the original price of the article is x.
After applying a 25% discount, the discounted price is calculated by subtracting 25% of the original price from the original price: x - 0.25x = $112.50.
Simplifying the equation gives 0.75x = $112.50. Divide both sides of the equation by 0.75 to find the value of x: x = $112.50 / 0.75 = $150.
Therefore, the original price of the article was $150.
#7 To calculate the flight time between New York and Los Angeles, you need to consider the time difference between the two cities.
The plane left New York at 3:30 p.m. EST and arrived in Los Angeles at 4:15 p.m. PST.
The time difference between EST and PST is 3 hours (PST is 3 hours behind EST).
The flight duration can be calculated by subtracting the departure time from the arrival time, accounting for the time difference: 4:15 p.m. PST - 3:30 p.m. EST = 45 minutes.
So, the flight took 45 minutes.
However, it's important to note that the question asks for the duration of the flight, not the time elapsed according to the clocks. Therefore, the flight took 3 hours and 45 minutes.
#3 To find the cost to waterproof the canvas truck cover, you need to calculate the area of the cover in square yards and then multiply it by the cost per square yard.
First, convert the dimensions from feet to yards:
15 feet = 5 yards
24 feet = 8 yards
Next, calculate the area:
Area = length x width
Area = 5 yards x 8 yards
Area = 40 square yards
Finally, multiply the area by the cost per square yard:
Total cost = Area x Cost per square yard
Total cost = 40 square yards x $1
Total cost = $40
Therefore, it will cost $40 to waterproof the canvas truck cover.
#4 To find the average workday of the employee, divide the total number of hours worked by the number of days worked.
The employee worked a total of 16 1/2 hours during 5 days of the past week.
Divide the total hours by the number of days:
Average workday = Total hours / Number of days
Average workday = 16.5 hours / 5 days
Average workday = 3.3 hours per day
Therefore, the average workday for the employee is 3 hours and 18 minutes.
#6 To find the original price of the article, you need to reverse engineer the discounted price.
After an article is discounted at 25%, it sells for $112.50.
Let's assume the original price of the article is x.
The discounted price can be calculated as:
Discounted price = Original price - (25% of Original price)
$112.50 = x - (0.25 * x)
Simplify the equation:
$112.50 = x - 0.25x
$112.50 = 0.75x
Divide both sides of the equation by 0.75:
x = $112.50 / 0.75
x = $150
Therefore, the original price of the article was $150.
#7 To calculate the duration of the flight, you need to consider the time difference between the departure and arrival time.
The plane left New York at 3:30 p.m. EST and arrived in Los Angeles at 4:15 p.m. PST.
First, convert the departure time to PST:
3:30 p.m. EST - 3 hours (time difference) = 12:30 p.m. PST
Now, calculate the time difference between the departure and arrival time:
4:15 p.m. PST - 12:30 p.m. PST = 3 hours and 45 minutes
Therefore, the flight took 3 hours and 45 minutes.