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3 years ago

Factor out the greatest common factor. 30t2u + 12tu2 + 24tu

1 answer:

7 0

First you can combine 30tu^2 and 12tu^2 because they both have tu^2

So it would be 42tu^2 + 24tu

The answer is
6tu ( 7tu + 4 )

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Yep here we go again:

Alchen [17]

Answer:

126

Step-by-step explanation:

360 x 35%= 126

360 x 0.35 = 126

3 0

3 years ago

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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= $2ft\times 2ft\times 1ft$

5 0

2 years ago

Solve the system by subtitution y = 3x + 18 y = 5x

elena-14-01-66 [18.8K]

Answer:

x=9

Step-by-step explanation:

y=3x+18=5x

thus 3x+18=5x

subtract 3x from both sides 18=2x

simplify for x x=9

3 0

3 years ago

Answer please! (No explanation needed!) <3

son4ous [18]

Hi there! Hopefully this helps!

----------------------------------------------------------------------------------------------

Question A answer: 2.

To find the median, you simply need to order the set from lowest to highest and finding the exact middle. So it should look like this:

0, 1, 2, 3, 4. So 2 is the median, therefore 2 is the answer to Question A.

------------------------------------------------------------------------------------------------

Question B answer: 2

To find the mean, you have to add all of the numbers together and then you have to divide by the number of items in the set. There are 5 numbers in the set so it should look like this:

0 + 1 + 2 + 3 + 4 = 10.

Since there 5 numbers in the set, we need to divide by 5.

10 / 5 = 2.

Therefore, 2 is also the answer to Question B.

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Edit: Whoops, sorry for the explanation...

5 0

3 years ago

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Please help A. 13 B. 26 C. 40 D. 36 D. 41

Morgarella [4.7K]

The value of x is 26.

4 0

3 years ago

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