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2 years ago

Andrea has 18 yards of fabric. How many 4 inch pieces can she cut from her original place?

2 answers:

8 0

4inches = 1/3 of a foot (4inches x 3 = 12 inches) - so she can cut 3 out of each foot

1 yard = 3 feet - so she can cut 3 x 3 = 9 out of each yard

18 x 9 = 162 pieces

FromTheMoon [43]2 years ago

4 0

we know that

$1\ yard=36\ inches$

Step 1

Convert yards to inches

$18\ yards=18*36=648\ inches$

Step 2

Divide the total inches of fabric by $4$ to obtain the number of pieces that Andrea can cut from the original place

$\frac{648}{4}= 162\ pieces$

therefore

<u>the answer is</u>

$162\ pieces$

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The length of a rectangle is 6m more then the width. The area is 40m^2 . What is the length and the width?

erastova [34]

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2 years ago

A 100 - foot fence is used to enclose a rectangular land plot. If the area of the land plot is 456 square feet, which equation c

quester [9]

Answer:

$x^2-50x+456=0$

Step-by-step explanation:

GIVEN: A $100\text{ foot}$ fence is used to enclose a rectangular land plot. If the area of the land plot is $456\text{ feet}^2$ .

TO FIND: equation to determine the length $x$ of the land plot.

SOLUTION:

total length of fence $=100\text{ foot}$

let the width of land plot be $y$

perimeter of plot $=2(x+y)=100$

$x+y=50$

area of rectangular plot $=\text{length}\times\text{breadth}$

$xy=456$

$y=\frac{456}{x}$

putting value of $y$

$x+\frac{456}{x}=50$

$x^2-50x+456=0$

Hence required equation to get length $x$ of land plot is $x^2-50x+456=0$

on solving

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2 years ago

ELECTRICITY The impedance in one part of a series circuit is 1 + 3j ohms and the impedance in another part of the circuit is 7 -

TiliK225 [7]

Answer:

Total impedance in circuit = 8 - 2j ohms

Step-by-step explanation:

Given:

Circuit one = 1 + 3j ohms

Circuit two = 7 - 5j ohms

Find:

Total impedance in circuit

Computation:

Total impedance in circuit = Circuit one + Circuit two

Total impedance in circuit = 1 + 3j + 7 - 5j

Total impedance in circuit = 8 - 2j ohms

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2 years ago