Convert the given measurements and SHOW your COMPLETE SOLUTION.
1. The length of the fabric is 135 inches. if the fabric is cut into 45 pieces of equal length, find the length of each in centimeters.
2. The length of the yarn is 90 inches. If 40% of the yarn is cut, find the length of the remaining yarn in centimeters.
Answers & Comments
7.65 cm long.
Explanation:
To convert inches to centimeters, we can use the conversion factor that 1 inch is equal to 2.54 centimeters.
First, we'll find the total length of the fabric in centimeters:
135 inches x 2.54 cm/inch = 343.9 cm
Next, we'll divide that total length by the number of pieces to find the length of each piece:
343.9 cm / 45 pieces = 7.65 cm/piece
So each piece of the fabric is 7.65 cm long.
2. Answer:
137.16 cm.
Explanation:
To find the length of the remaining yarn, we'll first find out how much yarn is being cut:
90 inches x 40% = 36 inches
Then we'll subtract that from the total length of the yarn to find the remaining length:
90 inches - 36 inches = 54 inches
Now we'll convert that remaining length to centimeters:
54 inches x 2.54 cm/inch = 137.16 cm
So the remaining length of the yarn is 137.16 cm.
Answer:
1. 7.65 centimeters
2. 137.16 centimeters
Step by step explanation:
FOR QUESTION 1;
To find the length of each piece of fabric in centimeters, we need to convert the length from inches to centimeters.
So, to convert 135 inches to centimeters, we need to multiply 135 by 2.54.
Now, we have the total length of the fabric in centimeters.
Next, we need to divide this length by the number of pieces of fabric to find the length of each piece.
So, the length of each piece of fabric in centimeters is 7.65 centimeters
You can check this by multiplying 7.65cm by 45 you will get 343.9 cm
Therefore, each piece of fabric is 7.65 centimeters long.
FOR QUESTION 2:
First, we need to find out how much yarn is cut by multiplying the total length by the percentage cut:
So, 36 inches of yarn is cut.
To find the length of the remaining yarn, we need to subtract the cut yarn from the total length:
Now we need to convert the length of the remaining yarn from inches to centimeters:
So, to convert 54 inches to centimeters, we need to multiply 54 by 2.54.
Therefore, the length of the remaining yarn in centimeters is 137.16 centimeters.