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2 years ago

Simplify (4x-8)/(-3x)*(12)/(12-6x)

1 answer:

7 0

$\dfrac{4x-8}{-3x}\cdot\dfrac{12}{12-6x}=\dfrac{4(x-2)}{-x}\cdot\dfrac{4}{-6(x-2)}=\dfrac{4}{-x}\cdot\dfrac{4}{-6}\\\\=\dfrac{2}{-x}\cdot\dfrac{4}{-3}=\dfrac{(2)(4)}{(-x)(-3)}=\dfrac{8}{3x}$

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A box with a square base and no top is to be made from a square piece of carboard by cutting 7 in. squares from each corner and

mojhsa [17]

Answer:

The size of the cardboard should be $26 in\ by\ 26in$

Step-by-step explanation:

The diagram for this question is shown on the first uploaded image

The volume of the box is $V = 2527 \ in ^3$

The length and the Width of the card is

L = W = Z

From the question we are told that 7 in squares were cut from each corner

So the length and the width of the box would be

L = W = (Z - 7)

And the height would be H = 7 in

Mathematically the volume of the box can be represented as

$V = Length\ of\ bx * Width\ of\ box * Height\ of\ box$

So the Volume would be

$V = (Z-7)(Z-7) * 7$

Substituting values

$(Z-7) ^2 = \frac{2527}{7}$

$(Z-7) ^2 = 361$

$(Z-7) ^2 = 19^2$

=> $Z - 7 = 19$

$Z = 19 + 7$

$Z =26 \ in$

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3 years ago

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zysi [14]

Answer:

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Step-by-step explanation:

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3 years ago

5!=5*4*3*2*1;6!=6*5*4*3*2*1 What is the value of 4^4/4!

german

Answer:

$\frac{32}{3}$

Step-by-step explanation:

If 5! is equal to 5 × 4 × 3 × 2 × 1 and 6! is equal to 6 × 5 × 4 × 3 × 2 × 1, then 4! is equal to 4 × 3 × 2 × 1. Thus, 4! = 4 × 3 × 2 × 1, which can simplify to 24. 4! = 24.

$4^{4}$ is basically 4 × 4 × 4 × 4, which can simplify to 256.

So, $\frac{4^{4}}{4!}$ = $\frac{256}{24}$ . $\frac{256}{24}$ can simplify to $\frac{32}{3}$ . Therefore, $\frac{4^{4}}{4!}$ = $\frac{32}{3}$ .

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2 years ago

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Step-by-step explanation:

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