Solve the following equation. Then determine if the equation is an identity or a contradiction.2(3n + 3) - 9 = 6n

Answers

Answer 1
Answer: Let's solve the equation step by step:

1. Start with the equation: \(2(3n+3)-9=6n\).

2. First, distribute the 2 on the left side of the equation:
\(6n + 6 - 9 = 6n\).

3. Next, simplify the equation by combining like terms. The 6n on both sides can be canceled out:
\(6 - 9 = 0\).

4. Simplify further:
\(-3 = 0\).

Now, let's analyze the result:

The equation \(-3 = 0\) is a contradiction. This means that there is no value of \(n\) that will satisfy the equation. In other words, there is no solution to this equation.

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At the amusement park, the ratio of children to adults is 5:2. If 63000 people visit the park, how many are children?

What is the slope of a line that passes through the points (-1,4) and (0,2)

Answers

Answer:

-2

Step-by-step explanation:

Y2-y1 over x2-x1

2-4/0+1= -2

Why did many americans seek a change in the election of 1980

Answers

That is because they were unsatisfied with the way Jimmy Carter was running the country. Not only was economy doing fairly poor, but he also lost a lot of support because of the way he solved the hostage crisis. All of these combined to allow Ronald Reagan to easily win the presidency.

Answer:

They questioned President Carter’s leadership.

Step-by-step explanation:

That is because they were unsatisfied with the way Jimmy Carter was running the country.

5x+y=2 2x3y=62
whatn is x and y

Answers

5x + y = 2      ⇒ 10x + 5y = 4
2x + 3y = 62  ⇒ 10x + 15y = 310
                                   -10y = -306
                                    -10      -10
                                         y = -30.6
                            5x - 30.6 = 2
                                 +30.6  +30.6
                                      5x = 32.6
                                       5        5
                                        x = 6.52
                                   (x, y) = (6.52, -30.6)
ok sure!
first we have to find y

so...
lets start with the first one:

5x+y=2 (we cannot have two variables together so:
5x+y=2
   -y =-y  so.. now we have 5x= 2-y (but we must get y positive and by itself!) 
                                             -2    = -2
  so: now you have 
5x-2=-y but need a positive variable so multiply each side by a (-1) 
(-1) 5x-2=-y (-1) So..
-5x +2 =y so now we know Y!
therefore whenever you see why in the next problem insert in its place: -5x +2 
 
I hope it helps!! :) 

The volume of a cone is 258.9 cubic centimeters. a cylinder has the same base and height as the cone. what is the volume in cubic centimeters of the cylinder

Answers

Volume of a cylinder = A(base)*height

Volume of a cone = 1/3*A(base)*height

Because the base and height of the cylinder and cone are the same, we can write

Volume of the cone = 1/3*A(base)*height =1/3*Volume of the cylinder

Volume of the cone = 1/3*Volume of the cylinder, so

Volume of the cylinder=3*Volume of the cone =3*258.9=776.6 cm³

Volume of the cylinder= 776.6 cm³

Answer:

776.7 cm^3

Step-by-step explanation:

You have 1/2 pound of flour. You split up the flour into 3 bags so each bag weighs the same. Which of these statements is NOT true?A. Each bag has 1/3 of the flour.
B.1/2 pound is 3 times as heavy as each bag of flour.
C.Each bag has 1/3 pound of flour.
D.Each bag has 1/6 pound of flour.

Answers

Given:
1/2 pound of flour
split the flour into 3 bags of equal weight.

1/2 ÷ 3 

In dividing fractions, you must remember to get the reciprocal of the 2nd fraction and multiply it to the 1st fraction.

3 is the 2nd fraction. Its reciprocal is 1/3

1/2 * 1/3 = 1/6 pound of flour.

The False statement is:
C. Each bag has 1/3 pound of flour. 

Which permanent teeth eruption usually occurs first? A. Central incisors. B. Lateral incisors. C. Cuspids (canines). D. First premolars (Bicuspids).

Answers

Answer: Letter A

Step-by-step explanation: because it is located at the front of the jaw and is the closest to the dental lamina, the source of tooth development in the jawbone