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AleksandrR [38]

3 years ago

8

What is the quotient of 18/1,000?

1 answer:

Bogdan [553]3 years ago

4 0

.018

Fractions are a form of division. Example: 1 divided by 2 equals one half

If 18 divided by 1000 equals 18/1000, then in decimal form, that is .018 or 18 thousandths

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3 years ago

Simplest form of the expression -2x2(x – 5) + x(2x2 – 10x) + x is

Andrei [34K]

You first simplify the expression using PEMDAS
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3 years ago

The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.

Anuta_ua [19.1K]

Answer:

$perimeter=90$

Step-by-step explanation:

We know that the length is four times the width, so:

$l=4w$

We also know the area, which is 324 m². The formula for area:

$A=l*w$

Insert the known values:

$324=(4w)*w$

Solve for w. Simplify by removing parentheses:

$324=4w*w\\324=4w^2$

Divide 4 from both sides to isolate the variable:

$\frac{324}{4}=\frac{4w^2}{4} \\\\81=w^2$

Find the square root of both sides:

$\sqrt{81} =\sqrt{w^2} \\\\w=9$

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

$324=l*9$

Solve for l. Divide both sides by 9:

$\frac{324}{9}=\frac{l*9}{9}\\\\ l=36$

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

$P=2l+2w$

Insert values:

$P=2(36)+2(9)\\\\P=72+18\\\\P=90$

The perimeter is 90 m.

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