MATHEMATICS HIGH SCHOOL

Which expression is equivalent to2(3g-4)-(8g + 3)?
1) -2g - 1
2) -2g - 5
3) -2g -7
4) -29 - 11

Answers

Answer 1
Answer:

Answer:

4) -2g - 11

Step-by-step explanation:

2(3g-4)-(8g + 3) =

6g - 8 - 8g - 3 =

- 2g - 11

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The work of a student to solve a set of equations is shown:Equation A: y = 15 – 2z Equation B: 3y = 3 – 4z Step 1: –3(y) = –3(15 – 2z) [Equation A is multiplied by –3.] 3y = 3 – 4z [Equation B] Step 2: –3y = 15 – 2z [Equation A in Step 1 is simplified.] 3y = 3 – 4z [Equation B] Step 3: 0 = 18 – 6z [Equations in Step 2 are added.] Step 4: 6z = 18 Step 5: z = 3 In which step did the student first make an error

Create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance beam.A. x + 10 = 6; x = -4

B. x = 6 + 10; x = 16

C. x + 6 = 16; x = 10

D. x + 6 = 10; x = 4

Answers

Answer:

D.   x + 6 = 10; x = 4

Step-by-step explanation:

to balance the beam, the weight on the left side must be equal to the right side.

x + 6 = 10    let x = box

x = 10 - 6

x = 4

therefore, the answer is D. x + 6 = 10; x = 4

x + 6 = 10; x = 4 is the linear equation and the solution that represents the model, where circles and a square are shown evenly balanced on a balance beam.

1. **Modeling the Balance**: In this problem, you are given a scenario where circles and a square are evenly balanced on a balance beam. To represent this balance mathematically, you need to ensure that the total weight (or the "value" of the shapes) on the left side of the balance is equal to the total weight on the right side.

2. **UnknownWeight**: You are asked to find the value of the square, represented by 'x.' This 'x' represents the weight or value of the square on one side of the balance.

3. **Equation Setup**: To set up the equation, you note that on the left side of the balance, you have 'x' (the square) plus 6 (the circles). On the right side, you have 10 (implying there's something with a weight or value of 10 units).

So, you set up the equation as:

x + 6 = 10

This equation says that the weight of the square plus the weight of the circles on one side equals the weight of whatever is on the other side.

4. **Solving for x**: To find the value of 'x' (the weight of the square), you isolate 'x' on one side of the equation. To do that, you subtract 6 from both sides of the equation:

x + 6 - 6 = 10 - 6

This simplifies to:

x = 4

So, 'x' represents a square with a weight or value of 4 units. This means that the square's weight on one side of the balance is balanced by 6 units of weight from the circles on the other side, resulting in a total of 10 units on both sides, ensuring the balance.

To know more about linear equation :

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If addenda are 170 and 130 what is the sum

Answers

The answer is 200 of 170

Write an algebraic expression for two fifths of the square of a number

Answers

The algebraic expression for two-fifths of the square of a number will be (2/5)x².

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The square of the number means the number is multiplied by itself.

The algebraic expression for two-fifths of the square of a number will be

Let the number be x.

Then the square of the number will be

⇒ x²

And the two-fifth number is expressed as,

⇒ 2/5

The algebraic expression for two-fifths of the square of a number will be

⇒ (2/5)x²

Thus, the algebraic expression for two-fifths of the square of a number will be (2/5)x².

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"of" means you are multiplying and just use "x" to represent "a number". Therefore:

(2/5)x^2

Pls answer urgent. 4 questions only, due today pls help answer

Answers

Answer:

ANS: 1 - D

ANS: 2 - B

ANS: 3 - A

ANS: 4 - D

Step-by-step explanation:

3 12 Find the nth term of each sequence. (a) -1, -3, -5, -7, -9, .​

Answers

Hello!

Answer:

\Large \boxed{\sf -11}

Step-by-step explanation:

→ We want to find the next term of this sequence:

\sf (-1, -3, -5, -7, -9, ...)

→ The sequence (-1, -3, -5, -7, -9, ...) is an arithmetic sequence because the difference between any two consecutive terms is constant.

→ The common difference is -2.

→ So the next term of this sequence is equal to:

\sf -9-2 = \boxed{\sf -11}

Conclusion:

The next term of the sequence (-1, -3, -5, -7, -9, ...) is -11.

Please help asap 20 pts

Answers

D. If you were to solve for x, the x values you would get would be 1.3743 and -1.3743.
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