Final answer:
The correct mathematics method to determine the number of 5-foot 2-inch pieces from a 50-yard string involves converting yards to feet and then dividing the total feet by the length of one piece.
Step-by-step explanation:
The correct answer is option Mathematics. To find out how many 5-foot 2-inch pieces can be made from 50 yards of string, we first need to convert all measurements to the same unit. Since there are 3 feet in a yard, 50 yards is equivalent to 50 x 3 = 150 feet. One inch is 1/12 of a foot, so 2 inches is 2/12 or 1/6 of a foot.
Therefore, a 5-foot 2-inch piece is equivalent to 5 + 1/6 feet, which is 5.1666 feet.
To find out how many pieces of 5.1666 feet you can get from 150 feet, you divide 150 by 5.1666, which gives you approximately 29.032 pieces. Since you can't have a fraction of a piece, you can make 29 full pieces of 5-foot 2-inch string from a 50-yard string.
The correct answer is option 10 pieces. To find the number of pieces, we need to convert the given length of string (50 yards) into the same unit as the pieces (5 feet 2 inches). There are 3 feet in a yard, so 50 yards is equal to 150 feet. Since each piece is 5 feet 2 inches, we can divide 150 by 5 feet 2 inches to get the number of pieces:
150 feet ÷ 5 feet 2 inches = 150 feet ÷ (5 feet + 2/12 feet) = 150 feet ÷ (5.17 feet) ≈ 29.02
Since we can't have a fractional number of pieces, we need to round down to the nearest whole number. Therefore, a 50-yard string cut into 5 feet 2 inches pieces gives us 10 pieces.