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Ad libitum [116K]
2 years ago
9

Solve for x. Show EACH step for full credit. Circle your final answer

Mathematics
2 answers:
Stolb23 [73]2 years ago
5 0

Answer:

x = 4

Step-by-step explanation:

Remember to follow PEMDAS. PEMDAS is the order of operation and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, distribute 2 to all terms within the parenthesis:

2(8 - 12x) = (2 * 8) - (2 * 12x) = 16 - 24x

Next, combine like terms. Like terms are terms with the same variables and the same amount of variables:

16 - 24x + 8x = -25x + 52

16 - 16x = -25x + 52

Isolate the variable, x. Add 25x and subtract 16 from both sides:

16 (-16) - 16x (+25x) = -25x (+25x) + 52 (-16)

-16x + 25x = 52 - 16

Combine like terms:

25x - 16x = 52 - 16

9x = 36

Isolate the variable, x. Divide 9 from both sides:

(9x)/9 = (36)/9

x = 36/9

x = 4

x = 4 is your final answer.

~

adelina 88 [10]2 years ago
3 0

Answer:

x=4

Step-by-step explanation:

2(8 - 12x) + 8x = -25x + 52

Distribute

16 -24x +8x = -25x +52

Combine like terms

16 - 16x = -25x +52

Add 25x to each side

16 -16x+25x = -25x+52+25x

16+9x = 52

Subtract 16 from each side

16+9x-16 = 52-16

9x = 36

Divide by 9

9x/9 = 36/9

x =4

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Answer:

<h2>A plane consists of an infinite set of lines.</h2><h2>A line has one dimension, length. </h2>

Step-by-step explanation:

The choices are

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In Ecludian geometry, undefined term are the plane, point and line. Becasue these terms are too intuitive, we don't need to demonstrate them, they just exits, they are too primitive to be defined, that's why they are undefined term.

However, there are some characteristics about each term, for example, a line and a plane are infinite, the plane is formed by infinite of lines and the line is formed by infinite set of points. Additionally, a line has one dimension only, because it's formed by infinte set of points, which doesn't have a dimensions as a singular term, but all together form a length.

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4 0
3 years ago
A sealed rectangular container 10 inches by 12 inches by 6 inches is sitting on its largest face. If it is filled with water up
Sedaia [141]

Answer:

8 inches

Step-by-step explanation:

Given: Dimension of rectangular container= (10\times12\times 6)\ inches

           Water is filled up to a level 2 inches from the top.

As given that container is sitting on its largest face, then it is standing on (10\times 12)\ inches

Which means the height of container is 6 inches and it ie filled with water up to 2 inches from the top.

∴ Height of water inside the container= 6-2= 4 \ inches

Now, finding the volume of water inside.

we know, Volume= length\times width\times height

Volume= 10\times 12\times 4= 480\ inches^{3}

Next, if container is placed in its smallest face then it is standing on (10\times 6)\ inches and lets assume height to be "x"

Forming an equation now to express the volume conservation law.

⇒ 480\ inches^{3} = 10\times 6\times x

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dividing both side by 60

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∴ x= 8 inches

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2 years ago
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natita [175]

Answer:

25.12ft

Step-by-step explanation:

C=2πr

C = 2(3.14)(4)

C = 25.12ft

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