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Hunter-Best [27]
3 years ago
8

Sally has a piece of cloth used 1/3 of a foot of the cloth to make a pillow cover in another 4/7 of a foot of the cloth to make

a tablecloth Sally started with two feets of cloth how much cloth does she have remaining?​
Mathematics
1 answer:
iren [92.7K]3 years ago
8 0

Answer:

\frac{23}{21} feets

Step-by-step explanation:

Given.

Sally started with two feets of cloth.

Total cloth = 2 feets

She used \frac{1}{3} of a foot of the cloth to make a pillow cover.

And another \frac{4}{7} of a foot of the cloth to make a table cloth.

She used total cloth to make a pillow cover and table cloth = \frac{1}{3} +\frac{4}{7}

=\frac{7+12}{21} \\=\frac{19}{21}

Total used cloth by Sally = \frac{19}{21}

The equation for remaining cloth

remaining cloth = total cloth - used cloth

remaining cloth = 2 - \frac{19}{21}

remaining cloth = \frac{2\times 21-19}{21}

remaining cloth = \frac{42-19}{21}

remaining cloth = \frac{23}{21}

Sally has remaining cloth = \frac{23}{21} feets

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Montano1993 [528]

Answer:

The linear equation for the line which passes through the points given as (-2,8) and $(4,6), is written in the point-slope form as $y=-\frac{1}{3} x-\frac{26}{3}$.

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-2,8) and (4,6).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-2,8) and (4,6). Next, the formula for the slope is given as,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute $6 \& 8$ for $y_{2}$ and $y_{1}$ respectively, and 4&-2 for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows, $m=\frac{6-8}{4-(-2)}$

$$\begin{aligned}&m=\frac{-2}{6} \\&m=-\frac{1}{3}\end{aligned}$$

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

$y-y_{1}=m\left(x-x_{1}\right)$

Substitute $-\frac{1}{3}$ for m,-2 for $x_{1}$, and 8 for $y_{1}$ in the above equation and simplify using the distributive property as follows, y-8=-\frac{1}{3}(x-(-2))$\\ $y-8=-\frac{1}{3}(x+2)$\\ $y-8=-\frac{1}{3} x-\frac{2}{3}$

Step 3 of 3

Simplify the equation further.

Add 8 on each side of the equation $y-8=-\frac{1}{3} x-\frac{2}{3}$, and simplify as follows, $y-8+8=-\frac{1}{3} x-\frac{2}{3}+8$

$y=-\frac{1}{3} x-\frac{2+24}{3}$$\\ $$y=-\frac{1}{3} x-\frac{26}{3}$$

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6 0
2 years ago
What is the value of n? n–2=10n+4/2 n =
slamgirl [31]

simplify


n-2 = 10n/2 + 4/2


n-2 = 5n + 2


subtract 5n to both sides


n - 2 - 5n = 5n + 2 - 5n


simplify


-4n - 2 = 2


add 2 to both sides


-4n - 2 + 2 = 2 + 2


simplify


-4n = 4


divide both sides by -4


-4n/-4 = 4/-4


simplify


n = -1




                             hope it helps



8 0
3 years ago
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Step-by-step explanation:

6 0
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In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:

(7,6), (1,6), (4,2)

(1,6), (4,2), (7,6)

The area is then half the absolute value of the sum of the cross products:

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6 0
3 years ago
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