All categories

3 years ago

What are all the simplified form of the equation 3(4x - 2) = 9 + 2x + 5

Mathematics

1 answer:

Alexeev081 [22]3 years ago

6 0

Step-by-step explanation:

<u>Step 1: Distribute</u>

$3(4x - 2) = 9 + 2x + 5$

$(3 * 4x) + (3 * -2) = 14 + 2x$

$12x - 6 = 14 + 2x$

<u>Step 2: Add 6 to both sides</u>

$12x - 6 + 6 = 14 + 6 + 2x$

$12x = 20 + 2x$

<u>Step 3: Subtract 2x from both sides</u>

$12x - 2x = 20 + 2x - 2x$

$10x = 20$

<u>Step 4: Divide both sides by 10</u>

$10x / 10 = 20 / 10$

$x = 2$

Answer: $x = 2$

You might be interested in

Write a function modeling this debt situation if the initial debt in 2009 was

Karolina [17]

Answer:

To solve this, we are going to use the standard decay function where

is the final amount remaining after years of decay is the initial amount is the decay rate in decimal form

is the decay factor

is the time in years

I will tell Greece to decrease their expending by 25%

To find our decay factor , we are going to convert the rate from percentage to decimal; to do it, we are going to divide the rate by 100%

Decay factor =

Decay factor = (0.75)

We can conclude that our decay factor is (0.75)

c. To solve this, we are going to use the standard decay function from our previous point.

where

is the final amount remaining after years of decay is the initial amount is the decay rate in decimal form

is the decay factor

is the time in years

We know from our problem that the initial debt in 2009 was $500 billion, so ; we also know from our previous calculation that our decay factor is (0.75), so lets replace those values in our function:

We can conclude that the function that model this debt situation is: .

Greece will be debt-free when heir debt is zero. Translating this into our model, Greece will be debt-free when . Since we will need logarithms to find the time , and the logarithm of zero is not defined, we are going to use a small value for , so we can use logarithms to find .

Let . After all, a $1 debt for a country is practically the same as being debt-free.

Now, we can solve for using logarithms:

We can conclude that, with me in charge, Greece will be debt free after 93.6 years. I won't reconsider my answer b. Even tough 93.6 years is a lot of time, decreasing the public expense more than 25% will have worse consequences for the economy of the country than the debt itself.

6 0

3 years ago

Gianna is taking a multiple choice test with a total of 100 points available. Each question is worth exactly 5 points. What woul

tatiyna

Answer:

Her test score would be an 85 because 5x3=15 and then you would subtract 15 from 100 which would be 85

equation would be x=100-(5y)

8 0

3 years ago

Read 2 more answers

PLEASE HELP I WILL GIVE BRAINLIEST!!!!! I already solved for x please solve for y and z! Trolls are getting reported and banned

hoa [83]

Not sure if your the same person but I had already done the work for this problem....

4 0

3 years ago

The cost of painting the total outside surface of a closed cylindrical tank at 60 paise per meter squae is Rs237.60. The height

valkas [14]

Answer:

$volume=509.25 dm^{3}$

Step-by-step explanation:

Curved surface area= $\frac {237.6}{0.6}=396 dm^{2}=2\pi R(R+H)$ where R is radius and H is height

Since H=6R then curved surface area= $2\pi R(R+6R)=14\pi R^{2}$

Therefore,

$396 dm^{2}=14\pi R^{2}$ and making R the subject

$R=\sqrt {\frac {396}{14\pi}}=\sqrt {(9.003622)}= 3.000604 m$

Therefore, H=6R=6*3.000604=18.00362 m

$Volume=\pi R^{2}H=\pi*3.000604^{2}*18.00362=509.2453 dm^{3}$

Therefore, $volume=509.25 dm^{3}$

6 0

3 years ago

Matrix a is a 6 × 5 matrix. which order of matrix can be multiplied by matrix a to create matrix ab?

mezya [45]

Order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.

<h3>What is a matrix?</h3>

A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics.
For instance, consider a matrix with two rows and three columns.

To find the order of matrix:

We must first check the dimension of two matrices, say matrix A by matrix B, before we may multiply them.
Multiplication is achievable if the number of columns in the first matrix, A, equals the number of rows in the second matrix.
Dimension is assigned to the provided matrix: 6 × 5
This means the given matrix contains six rows and five columns.
As a result, the second matrix MUST have 5 rows in order for multiplication to be POSSIBLE.
The only matrix with 5 rows among the above alternatives is the matrix with dimension (B) 5 × 6.

To prove:

In other words, the inner products of the dimensions should be equal.
That is; (a × b)(b × a) is possible but (a ×b)(c × b) is impossible.
The dimensions of the matrix are given by, row × column.

Therefore, order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.

Know more about matrix here:

brainly.com/question/24079385

#SPJ4

7 0

2 years ago