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3 years ago

15

A rectangular prism with a volume of 101010 cubic units is filled with cubes with side lengths of \dfrac12

2 answers:

Mnenie [13.5K]3 years ago

5 0

Answer:

80 cubes

Step-by-step explanation:

lawyer [7]3 years ago

4 0

Given that the volume of the prism is given by:
10 cubic units and the the side length of cubes to fill the prism is 1/2 units. Then the number of cubes required to fill the prism will be given by:
(volume of rectangular prism)/(volume of cube)
but
volume of cube is:
volume=length*width*height
volume=1/2×1/2×1/2=1/8 cubic units
thus the number of cubes required to fill the prism will be:
10/(1/8)
=10×8/1
=80 cube
Answer: 80 cubes

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azamat

Answer:

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Step-by-step explanation:

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8 0

3 years ago

How do you solve it?

MatroZZZ [7]

Answer:

<em>i: </em>x=-2, x=1

<em>ii: </em>x=-1/2

Step-by-step explanation:

Quadratic form:

You solve <em>i </em>by using FOIL (First, Outside, Inside, Last) because it is a multiplication problem.

$(x+2)(x-1)=0$

<em>"first"</em> would be $x*x$ , which would equal $x^{2}$

<em>"outside"</em> would be $x*-1$ , which would equal $-1x, or -x$

<em>"inside"</em> would be $2*x$ , which would equal $2x$

<em>"last" </em>would be $2*-1$ , which would equal $-2$

Now you need to combine the terms so that they are one after the other

$x^{2}-x$ $+2x-2$

Combine like terms, and you should get:

$x^{2} +x-2$

i Solution

<em>You need to get the variable by itself.</em>

<em>Subtract two from both sides</em>

$x+2=0\\x=-2$

<em>Add one to both sides.</em>

$x-1=0\\x=1$

ii Solution

<em>Add all the terms.</em>

$x+2+x-1=0\\2x+1=0\\2x=-1\\x=-\frac{1}{2}$

8 0

3 years ago

Edith’s age is 1/4 of Ronald’s age. In how many years will Edith’s age be 1/3 of Ronald’s age if Edith is 20 years old?

ruslelena [56]

Answer:

10

Step-by-step explanation:

x = Edith's age = 20 years

y = Ronald's age

x = 20 = y/4

y = 20×4 = 80 years

in z years we have

(x + z) = (y + z)/3

(20 + z) = (80 + z)/3

3(20 + z) = 80 + z

60 + 3z = 80 + z

60 + 2z = 80

2z = 20

z = 10

in 10 years Edith's age will be 1/3 of Ronald's age.

then Edith will be 30, and Ronald will be 90.

30 = 90/3

correct.

7 0

1 year ago

What is the solution to the equation One over 4X+2 equals -5/8 X -5

kipiarov [429]

Answer:

I don't know the answer but i recommend a website called cymath. It is a calculator to any equation and demonstrates the procedures.

6 0

3 years ago

What is the sum of the inside angles of any quadrilateral?

Free_Kalibri [48]

Answer:

360

Step-by-step explanation:

3 0

2 years ago