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castortr0y [4]
3 years ago
13

A box contains 14 books & 7 pieces of dusters. Each piece of duster weighs 0.2 pounds each book weighs 1.1 pounds. The box &

amp; its contents together weigh 18.25 pounds. How much does the empty box weigh?
Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer:

1.45

Step-by-step explanation:

weight of all books= 14×1.1= 15.4

weight of all duster=7×0.2= 1.4

weight of books and duster= 15.4+1.4=16.8

weight of the empty box = 18.25-16.8=1.45

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Which choice is equivalent to the expression below when y2 0?<br> √y^2 + √16y^3 – 4y√y
DanielleElmas [232]

Answer:

Option C.

Step-by-step explanation:

We start with the expression:

\sqrt{y^3}  + \sqrt{16*y^3} - 4*y\sqrt{y}

where y > 0. (this allow us to have y inside a square root, so we don't mess with complex numbers)

We want to find the equivalent expression to this one.

Here, we can do the next two simplifications:

\sqrt{16*y^3} = \sqrt{16} \sqrt{y^3} = 4*\sqrt{y^3}

And:

y*\sqrt{y} = \sqrt{y^2} *\sqrt{y} = \sqrt{y^2*y} = \sqrt{y^3}

If we apply these two to our initial expression, we can rewrite it as:

\sqrt{y^3}  + \sqrt{16*y^3} - 4*y\sqrt{y}

\sqrt{y^3}  + 4*\sqrt{y^3} - 4\sqrt{y^3} = \sqrt{y^3}

Here we can use the second simplification again, to rewrite:

\sqrt{y^3} = y*\sqrt{y}

So, concluding, we have:

\sqrt{y^3}  + \sqrt{16*y^3} - 4*y\sqrt{y} = y*\sqrt{y}

Then the correct option is C.

8 0
3 years ago
100 birthday candles in 5 bags is proportional to 300 candles in how many bags?
mojhsa [17]

Answer:

100 Candles = 5 Bags

300 Candles = 15 Bags

Step-by-step explanation:

100 times 3 = 300 Candles

5 times 3 = 15 Bags

8 0
4 years ago
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avanturin [10]

Answer:

D

Step-by-step explanation:

This is by definition of civil law

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2 years ago
Which is the value of 8 in 0.837
slega [8]
It is in the tenth place cause its on the right side of the decimal. :)
5 0
4 years ago
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Estimate the perimeter and the area of the shaded figure to the nearest tenth.<br> -Please help me-
Crank

Answer:

Perimeter = 12+4pi

Area = 16+8pi

Step-by-step explanation:

Description of the assumed shape:

A rectangle 2 x 8 superimposed on a semi-circle of radius 4.

Perimeter:

P = 2+8+2+(4)(pi) = 12+4pi

Area :

A = 2*8 +(pi)4^2/2 = 16 + 8pi

3 0
3 years ago
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