Mathematics, 11.12.2019 06:31 Queenofpizza

Aseamstress has a piece of cloth that is 3 yards long she cuts it into shorter lengths of 16 inches each. how many of the shorter pieces can she cut?

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In this question the vital information that a person needs to have is the conversion of yard to inches. Once that is done, the question becomes easy as most of the required information's are already given in the question.
1 yard = 36 inches
Then
3 yards = 36 * 3 inches
   = 108 inches.
Now let us get down to finding the answer to the question.
Length of the cloth that needs to be cut into shorter lengths = 3 yards
      = 108 inches
Length of the shorter pieces = 16 inches
Then
umber of shorter pieces that can be cut = 108/16
   = 6.75
So from the above deduction we can easily conclude that 6 shorter pieces of 16 inches can be cut and still there will be a little excess piece of cloth remaining.

Answer from: abby4902

She can cut 6.75 shorter pieces of cloth

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are $\large{\boxed{:}}}$ or $\large{\boxed{\slash}}$

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

$\large{\boxed{\bold{divident:divisor=quotient+remainder}}$

example:

7: 3 = 2 + 1

7 = dividend 3 = divisor 2 = quotient 1 = remainder

Division operation statement:

"7 divided by 3 equals 2 remainder 1 "

The form of division can also be expressed in terms of fractions

In the example above, the form of mixed fractions is

$\displaystyle \frac{7}{3} =2\frac{1}{3}$

Mixed fractions consist of whole number and proper fractions

a seamstress cuts a piece of cloth that is 3 yards long into shorter lengths of 16 inches each.

we translate this sentence into Arithmetic operations

$\displaystyle 3~yards\div16~inches$

Because One yard is equal to 36 inches ,

3 yards = $\displaystyle 3\times36$

3 yards = $\large{\boxed{\bold{108~inches}}}$

then equation becomes :

$\displaystyle 108~inches\div16~inches$

$\large{\boxed{\bold{6.75`pieces}}$

or as mixed fraction :

$\displaystyle 6\frac{75}{100}$

$\boxed{\bold{ 6\frac{3}{4}}}$

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Keywords: division, cloth, yards, inches

Aseamstress has a piece of cloth that is 3 yards long she cuts it into shorter lengths of 16 inches

Answer from: Quest

the direct variation says that:

$y \propto x$

then the equation is of the form is given by:

$y = kx$ where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

$3 = 2k$

divide both sides by 2 we get;

$k =\frac{3}{2} = 1.5$

⇒ $m(x) = 1.5x$

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

$m(x) = 1.5x$

$-1.5 = 1.5(-1)$

-1.5 = -1.5 true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

Answer from: Quest

the answer is b.)

< 1=< 2

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Aseamstress has a piece of cloth that is 3 yards long she cuts it into shorter lengths of 16 inches...