1.Divide. 0.8/ 14.12 A~17.65?
2.The cost of 36 items is $24.80. What is the cost of an individual item to the nearest cent?A~0.69?
3.Cindy is carpeting a recreation room 24 ft long and 18 ft wide. If the carpeting costs $18 per square yard, what will be the total cost of the carpet? A~864?
1. No. My answer is less than 1.0
2. Correct
3. Correct
for the first one, you divided 14.12 by .8
so it the other way around:
.8/14.12 = .0566
second ok
third ok
To answer these questions, we'll go through the steps to find the solutions.
1. Divide 0.8 by 14.12:
To divide 0.8 by 14.12, you can simply use a calculator or follow these steps:
- Divide 0.8 by 14.12: 0.8 ÷ 14.12 = 0.0566733 (rounded to 7 decimal places)
So, the result is approximately 0.0566733.
2. Find the cost of an individual item:
To find the cost of an individual item, divide the total cost by the number of items:
- Cost of 36 items: $24.80
- Divide $24.80 by 36: $24.80 ÷ 36 = $0.688888... (recurring decimal)
To round it to the nearest cent, we round the recurring decimal up to $0.69.
So, the cost of an individual item is approximately $0.69.
3. Calculate the total cost of the carpet:
To find the total cost of the carpet, first, calculate the area of the room (length × width):
- Length of the room: 24 ft
- Width of the room: 18 ft
- Area of the room: 24 ft × 18 ft = 432 sq ft
To convert the area from sq ft to sq yards, divide by 9 (1 sq yard = 9 sq ft):
- Area in sq yards: 432 sq ft ÷ 9 = 48 sq yds
- Cost of carpeting per sq yard: $18
To find the total cost, multiply the area in sq yards by the cost per sq yard:
- Total cost: 48 sq yds × $18/sq yd = $864
So, the total cost of the carpet will be $864.