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Josiah ties together two strings. One string is \(3 \frac{3}{4}\) feet long. The other string is \(1 \frac{1}{2}\) yards long. The knot he makes to tie the strings subtracts \(2 \frac{1}{2}\) inches from the total length.

Mark the length, in inches, of the two tied strings on the number line:

76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100

Answer :

After converting feet to inches and yards to inches, and then subtracting the length lost to the knot, the total length of the two tied strings is 96 1/2 inches. This length should be marked between numbers 96 and 97 on the number line.

Josiah ties together two strings: one that is 3 3/4 feet long and another that is 1 1/2 yards long. To find the total length in inches, we need to convert all measurements to the same unit, taking into account the knot which subtracts 2 1/2 inches from the total length. To start, we convert 3 3/4 feet to inches (3 * 12 + 3/4 * 12 = 36 + 9 = 45 inches) and 1 1/2 yards to inches (1.5 * 3 * 12 = 54 inches). Adding these lengths together we get 45 inches + 54 inches which equals 99 inches, and after subtracting the 2 1/2 inches for the knot, we have 96 1/2 inches in total. Therefore, the final length marker will be between 96 and 97 inches on the number line.

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Rewritten by : Barada

The length of the two tied strings on the number line would be between 96 and 97.

We first need to convert both the lengths of the strings to inches, since the knot's length is given in inches.

The first string is 3 3/4 feet long, which is equivalent to 45 inches (since 1 foot = 12 inches, and 3 3/4 feet = 45 inches).

The second string is 1 1/2 yards long, which is equivalent to 54 inches (since 1 yard = 36 inches, and 1 1/2 yards = 54 inches).

The total length of the two strings before the knot is tied is 45 inches + 54 inches = 99 inches.

Subtracting the length of the knot (2 1/2 inches) from the total length of the two strings gives us:

99 inches - 2 1/2 inches = 96 1/2 inches

Therefore, the length of the two tied strings on the number line would be between 96 and 97.

Since we know that the length is closer to 97 inches than 96 inches, we can mark the length at point 97 on the number line

To learn more about the number lines;

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