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artcher [175]
3 years ago
10

8 times the difference between a number and 6 is equal to 4 times the number.

Mathematics
2 answers:
iVinArrow [24]3 years ago
8 0
8(x - 6) = 4x
Distribute.
8x - 48 = 4x
Subtract 8x from both sides.
8x -8x - 48 =4x -8x
Now you have...
-48 = -4x
Divide -4 by both sides.
-48/-4 = -4x/-4
12 = x
The number is 12.
Ipatiy [6.2K]3 years ago
6 0

Answer:  12

Step-by-step explanation:

Let the number be x.

Given statement: 8 times the difference between a number and 6 is equal to 4 times the number.

then, the required equation :

8(x-6)=4x

Divide both sides by 4 , we gte

\dfrac{8(x-6)}{4}=\dfrac{4x}{4}

Simplify

2(x-6)=x

Multiply 2 inside the parenthesis.

2x-12=x

Subtract x and add 12 on both sides , we gte

2x-x-12+12=x-x+12

Simplify

x=12

Hence, the number is <u>12</u>.

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In order to add the two values together, you must find the least common multiple for the denominators. The denominators are 8 and 4, and the least common multiple of 8 and 4 is 8. Because you have to multiply 4 by 2 to get 8, you must also multiply 3 by 2 to get 6. This will give you 6/8.
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What is the volume of the solid?
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9514 1404 393

Answer:

  (9√3 -3π/2) ft^3 ≈ 10.88 ft^3

Step-by-step explanation:

The area of the hexagon is given by the formula ...

  A = (3/2)√3·s^2 . . . . for side length s

The area of the hexagonal face of this solid is ...

  A = (3/2)√3·(2 ft)^2 = 6√3 ft^2

__

The area of the circular hole in the hexagonal face is ...

  A = πr^2

The radius is half the diameter, so is r = (2 ft)/2 = 1 ft.

  A = π(1 ft)^2 = π ft^2

Then the area of the "solid" part of the face of the figure is ...

  A = (6√3 -π) ft^2

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The volume is ...

  V = Bh . . . . . where B is the area of the base of the prism, and h is its height

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Usimov [2.4K]

The function with the same end behavior of f(x) is the last option:

g(x) = (-\frac{1}{3} )*x

<h3>Which function has the same end behavior of f(x)?</h3>

By looking at the graph, we can see that the end behavior of f(x) is:

as x → ∞; f(x) → -∞

as x → -∞; f(x) → ∞

Then we just want a function that depends linearly with x and that has a negative coefficient.

The correct option is the last one:

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Where clearly, when x tends to infinity the function tends to negative infinity, and when x tends to negative infinity, the function tends to infinity.

If you want to learn more about end behavior:

brainly.com/question/1365136

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