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2 years ago

15

Write a multiplication equation and a division equation that this diagram could represent.

2 answers:

vivado [14]2 years ago

7 0

Answer:

$3 * 18= 54$ and $54/18 = 3$

Step-by-step explanation:

Given

$Sections = 3$

$Measurement=18$ per section

$Total\ Measurement=54$

Required

Model the scenario

The model of this scenario is:

$Sections * Measurement = Total\ Measurements$

This gives:

<em /> $3 * 18 = 54$ <em> -- This represents the multiplication model</em>

Divide both sides by 18

$3 * 18/18 = 54/18$

$3 * 1 = 54/18$

$3 = 54/18$

Reorder

<em /> $54/18 = 3$ <em> -- This represents the division model</em>

Zepler [3.9K]2 years ago

4 0

Answer:

121*5677*66766.546646

5

Step-by-step explanation:

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An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made

Lemur [1.5K]

Answer:

The dimension of box= $2ft\times 2ft\times 1ft$

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box= $lbh=x^2h$

$4=x^2h$

$h=\frac{4}{x^2}$

Now, surface area of box,A= $x^2+4xh$

$A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}$

$\frac{dA}{dx}=2x-\frac{16}{x^2}$

$\frac{dA}{dx}=0$

$2x-\frac{16}{x^2}=0$

$2x=\frac{16}{x^2}$

$x^3=8$

$x=2$

$\frac{d^2A}{dx^2}=2+\frac{32}{x^3}$

Substitute x=2

$\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0$

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h= $\frac{4}{2^2}=1 ft$

Hence, the dimension of box= $2ft\times 2ft\times 1ft$

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2 years ago

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sweet [91]

Answer:

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Step-by-step explanation:

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3 years ago

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kicyunya [14]

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3 years ago

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A sample with mean of 85 and SD of 12 is transformed into z-scores. After the transformation, what are the values for the mean a

MrRa [10]

Answer:

The value remain unchanged.

Step-by-step explanation:

By Z score, we mean:

Z = $\frac{x-\mu}{\sigma}$ , if we substitute the given values of mean and standard deviation, we obtain the z score value. That is,

Z = $\frac{85 - 0}{12}$ = 85/12 = 7.083333.

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2 years ago