All categories

2 years ago

Twice the difference of a number and 3 equals 8

Mathematics

2 answers:

polet [3.4K]2 years ago

6 0

Suppose the number = x

Then, algebraically written, it would be:

2x - 3 = 8

Now we just solve this for x:

2x - 3 = 8

Adding 3 to both sides:

2x - 3 + 3 = 8 + 3

2x = 11

Dividing both sides by 2:

2x/2 = 11/2

x = 5.5

Proof:

We shall check it by substituting the value of x in the original equation:

2x - 3 = 8

2(5.5) - 3 = 8

11 - 3 = 8

8 = 8

This proves that our solution was correct :)

I hope this helps, I tried to be as descriptive as possible.

Vikentia [17]2 years ago

3 0

This equation would be written as 2(n-3)=8.

You might be interested in

Y=3x-1 Help pleaseeeeee

nata0808 [166]

Answer:

y=3x-1

Step-by-step explanation:

Not enough context

Hope this helps!

3 0

2 years ago

39 is 50% of what number

Zepler [3.9K]

39 multiplied by 2= 78

8 0

3 years ago

Read 2 more answers

The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units. A solid right pyramid

Xelga [282]

Answer:

$6 x^2*\sqrt{3}$

Step-by-step explanation:

The base of the pyramid we need to study is a hexagon.

Let's look at the attached image of an hexagon to understand how we are going to find the area of this figure.

Notice that an hexagon is the combination of 6 exactly equal equilateral triangles in our case of size "2x" (notice that the "radius" of the hexagon is given as "2x")

Therefore the area of the hexagon is going to be 6 times the area of one of those equilateral triangles.

We know the area of a triangle is the product of its base times its height, divided by 2: $\frac{base*height}{2} = \frac{2x*height}{2}$

We notice that the triangle's height is exactly what is called the "apothem" of the hexagon (depicted in green in our figure) which measures $x\sqrt{3}$ , so replacing this value in the formula above for the area of one of the triangles: