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marysya [2.9K]
3 years ago
11

Solve for a 3(2a+6)=4(a+10

Mathematics
1 answer:
Svetllana [295]3 years ago
7 0

Answer:

a = 11

Step-by-step explanation:

distribute and combine like terms

6a + 18 = 4a + 40

2a = 22

a =11

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Need help ASAPP PLEASE<br> thanks and BRAINLIST only for correct answers :)<br> Thank you!!
kicyunya [14]

Answer:

none above

Step-by-step explanation:

4 0
2 years ago
The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of
velikii [3]

A) Add three <em>line</em> segments (AD, CF, BE) to the <em>regular</em> hexagon.

B) The area of each triangle of the <em>regular</em> hexagon is 35.1 in².

C) The area of the <em>regular</em> hexagon is 210.6 in².

<h3>How to calculate the area of a regular hexagon</h3>

In geometry, regular hexagons are formed by six <em>regular</em> triangles with a common vertex. We decompose the hexagon in six <em>equilateral</em> triangles by adding three <em>line</em> segments (AD, CF, BE).The area of each triangle is found by the following equation:

A = 0.5 ·  (9 in) · (7.8 in)

A = 35.1 in²

And the area of the <em>regular</em> polygon is six times the former result, that is, 210.6 square inches.

To learn more on polygons: brainly.com/question/17756657

#SPJ1

5 0
1 year ago
Solve for w: -4(w+1)=-24 Please explain this like you would a 2 year old and please explain it so it is the easiest way to solve
Andrews [41]

Answer:

Step-by-step explanation:

The first step in solving an equation is to look at it. Identify where the variable is that you're interested in, and see what operations are being performed on that variable.

Here, the variable w has 1 added to it, and the sum is multiplied by -4. The variable is only on the left side of the equation, and is inside parentheses. Inside parentheses, the coefficient of the variable is 1.

These observations tell you that, in some order, you will need to undo the operations of multiplication and addition, and you will have to eliminate parentheses.

You also observe that the multiplication factor of the parentheses (-4) is a factor of the constant on the right side of the equation (-24). This means you have a couple of options for solving this equation:

  1. eliminate parentheses first, using the distributive property
  2. divide by -4 first, to undo the multiplication

The second method is actually faster. We'll illustrate that one first.

__

Divide both sides of the equation by -4 to undo the multiplication by -4.

  -4(w +1)/(-4) = -24/(-4) . . . . . we have indicated the division we want to do

  w +1 = 6 . . . . . . . . . . . . . . . . here is the result of that division

Now, we can add the opposite of +1 to eliminate the constant from the left side. As with all operations on equations, we must do the same thing to both sides. This means we add -1 to both sides of the equation:

  w +1 -1 = 6 -1 . . . . . . we have indicated the addition we want to do

  w = 5 . . . . . . . . . . .  here is the result of that addition

The solution of the equation is ...

  w = 5

__

Often, when parentheses are involved, the numbers are such that the solution method is not as simple as what we just did. In those cases, you would take the approach of eliminating parentheses first. For this equation, it looks like this:

  -4(w +1) = -24 . . . . . . . given

  -4w -4 = -24 . . . . . . . . use the distributive property to eliminate parentheses

We want the variable term by itself, so we need to eliminate the constant -4 that is added on the left. To do that, we add its opposite. This means we add +4 to both sides of the equation.

  -4w -4 +4 = -24 +4 . . . . . . indicating the addition of +4

  -4w = -20 . . . . . . . . . . . . . the result of adding +4

Here, w is multiplied by -4. We want w by itself, so we want to undo that multiplication. That means we want to divide both sides of the equation by -4.

  -4w/(-4) = -20/(-4) . . . . . . indicate the division

  w = 5 . . . . . . . . . . . . . . . . the result of doing the division

The solution of the equation is ...

  w = 5

_____

Our basic approach is to <em>undo the operations done to the variable, in the reverse of the order in which they are done</em>. In that process, we observe the rules of equality: <em>whatever operation you do to one side of the equation must also be done to the other side</em>. (My teacher called this last rule: "keep the equal sign sacred.")

You can always use the distributive property for factoring, collecting terms, or eliminating parentheses.

3 0
3 years ago
Blank times 600=7,200
vladimir1956 [14]
The correct answer is 12

12 x 600 = 7200
4 0
3 years ago
Read 2 more answers
give the standard form, degree, leading coefficient and the constant term of the function h(x) = (2x+1)² (2x-3)​
Softa [21]

Answer:

The standard form is: h(x) = 8x^3 - 4x^2 - 10x - 3

The function is of the 3rd degree.

The leading coefficient is 8.

The constant term is -3.

Step-by-step explanation:

Placing in standard form:

To place in standard form, we solve the operations. So

h(x) = (2x+1)^2(2x-3)

h(x) = (4x^2 + 4x + 1)(2x - 3)

h(x) = 8x^3 - 12x^2 + 8x^2 - 12x + 2x - 3

h(x) = 8x^3 - 4x^2 - 10x - 3

Degree:

The degree is given by the highest power of x, which, in this exercise, is 3.

Leading coefficient:

The leading coefficient is the term that multiplies the highest power of x. In this exercise, the higher power of x is x^3, which is multiplied by 8. So the leading coefficient is 8.

Constant term:

The constant term is the one which does not multiply a power of x. So in this exercise, it is -3.

3 0
2 years ago
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