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andrezito [222]

3 years ago

14

An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in a case. If each box o

f pencils weighs 2.5 ounces, what is the weight, in pounds, of the case of wooden pencils?

2 answers:

NikAS [45]3 years ago

6 0

160 is the answer because 64 x 2.5 is 160.

I am Lyosha [343]3 years ago

3 0

The wooden pencils weigh 10 pounds all together.

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The slope of (1, 5), (–3, 0) and (–2, 4), (3, 0)

chubhunter [2.5K]

Answer:

The slope of (1,5) and (-3,0) is 5/4

the slope of (-2,4) and (3,0) is -4/5

Step-by-step explanation:

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A small moving box has a volume of 2304 inches cubed and length of 16 inches. The box's width and height are the same. Write the

lisabon 2012 [21]

Answer:

<em>V = 16x² </em>

<em>Width = 12in</em>

<em>Height = 12in</em>

Step-by-step explanation:

Volume of the box is expressed as;

V = Length *Width * height

Given

Length = 16in

Width = x

Height = x

The volume of the box will be expressed as;

V = 16 * x * x

<em>V = 16x² (This gives the required equation)</em>

To get x:

We are given

V = 2304in³

Substitute;

2304 = 16x²

x² = 2304/16

x² = 144

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<em>Hence the width and the height are both 12inches since they are the same.</em>

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3 years ago

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra

Nana76 [90]

The length of BC is $4 \sqrt{5}$ .

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

$\Rightarrow 16\times 5 = x\times x$

$\Rightarrow 80= x^2$

$\Rightarrow 16\times 5= x^2$

Taking square root on both sides.

$\Rightarrow \sqrt{16\times 5} = \sqrt{x^2}$

$\Rightarrow \sqrt{4^2\times 5} = \sqrt{x^2}$

square and square roots get canceled, we get

$\Rightarrow 4\sqrt{ 5} = x$

The length of BC is $4 \sqrt{5}$ .

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Yuri [45]

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Step-by-step explanation:

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3 years ago

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