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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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Answer:

if you're simplifying, it should be = -1b - 6

Step-by-step explanation:

1. 4(1-2b) + 7b -10 solve the parenthesis

2. 4 <u>- 8b</u> <u>+ </u><u>7b</u> - 10 combine like(same) terms

3. <u>4</u> - 1b <u>- 10</u> same as 2.

4. -1b - 6

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3 years ago
What percent is equivalent to 8/40 ? 8% 20% 25% 40%
Nikitich [7]
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Then do the same thing to the first number 8 so 8x2=16+8x1.5=20

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3 years ago
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What is the difference between theoretical and probability and experimental probability
mars1129 [50]

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Step-by-step explanation:

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3 years ago
What is the solution set for 2x+5y&gt;-1 and 4x-3&lt;-3?
bekas [8.4K]

PROBLEM ONE

•

Solving for x in 2x + 5y > -1.

•

Step 1 ) Subtract 5y from both sides.

2x + 5y > -1

2x + 5y - 5y > -1 - 5y

2x > -1 - 5y

Step 2 ) Divide both sides by 2.

2x > -1 - 5y

\displaystyle\frac{2x}{2} > \displaystyle\frac{-1 - 5y}{2}

\displaystyle\ x > \frac{-1 - 5y}{2}

So, the solution for x in 2x + 5y > -1 is...

\displaystyle\ x > \frac{-1 - 5y}{2}

•

Solving for y in 2x + 5y > -1.

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Step 1 ) Subtract 2x from both sides.

2x + 5y > -1

2x - 2x + 5y > -1 - 2x

5y > -1 - 1x

Step 2 ) Divide both sides by 5.

5y > -1 - 1x

\displaystyle\frac{5x}{5} > \frac{-1 -1x}{5}

\displaystyle\ x > \frac{-1 -1x}{5}

So, the solution for y in 2x + 5y > -1 is...

\displaystyle\ x > \frac{-1 -1x}{5}

•

PROBLEM TWO

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Solving for x in 4x - 3 < -3.

•

Step 1 ) Subtract 3 from both sides.

4x - 3 < -3

4x -3 - 3 < -3 - 3

4x < 0

Step 2 ) Divide both sides by x.

4x < 0

\displaystyle\frac{4x}{4}

x < 0

So, the solution for x in 4x - 3 < -3 is...

x < 0

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- <em>Marlon Nunez</em>

7 0
3 years ago
In the diagram, how many angles are alternate exterior angles with angle 5?
Natasha_Volkova [10]

Answer:

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Step-by-step explanation:

An exterior angle is an angle outside of the shape (hence ex meaning out). However, an ALTERNATE angle is an angle opposite of a transversal line of another angle. The angles on the same transversal line of 5 are 8, 7, 9, 10, 12, and 11. However, we are looking for ALTERNATE EXTERIOR angles not just exterior. 8, 7, 9, 10, and 12 are just exterior which leaves angle 11 as alternate exterior. Angle 11 is the alternate exterior of angle 5 meaning there is only 1 angle that is alternate of angle 5.

4 0
3 years ago
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