Which expression is equivalent to 3x + 14 + 3x + 10?A. 4 ( x + 6 )
B. 3 ( x + 8 )
C. 6 ( x + 24 )
D. 6 ( x + 4 )
Please explain! :)
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Briemodee! :)

Answers

Answer 1
Answer:

The required expression is equivalent to 6(x + 4). Option D is correct.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property.

Here,
Combine like terms by adding the coefficients of the x-terms and the constants:

3x + 14 + 3x + 10 = 6x + 24

Therefore, the expression is equivalent to 6(x + 4).

Learn more about simplification here:

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Answer 2
Answer: So,

3x + 14 + 3x + 10

Let's put the placeholders together to make it simpler.

3x + 3x + 14 + 10

Collect Like Terms
6x + 24

This is simplified.

Option D, when multiplied, gives 6x + 24.  So that is the correct option.

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31/6 as a mixed number

Answers

Hello there awesome brainly user!

To convert (31)/(6) to a mixed number you have to divide 31/6 which equals 5 R 1 Remember that the remainder is the numerator and the whole number is 5. So, the mixed fraction is 5(1)/(6)

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Thanks and have a good day.
5 and 1/6 because 5x6=30 plus you have the remainder 1 and 6 is the denominator so the 1 becomes the numerator

What does this symbol “ mean in math

Answers

I think, it's the symbol of the inches.

3" = 3 inches

or it's the second derivative of the function

(d^2y)/(dx^2)=f''(x)

Terrence is folding paper cranes at a constant rate. The table below shows the amount of time he needs to fold cranes.Number of cranes Total time (minutes)
555 17.517.517, point, 5
888 282828
121212 424242
Write an equation to describe the relationship between ccc, the number of cranes, and ttt, the total time in minutes.

Answers

Answer:

t = 3.5c

Step-by-step explanation:

The correct table is attached in the image below. Since the papers are being folded at a constant rate, there is a linear relationship between c, the number of crane and t, the total time in minutes.

We can find the equation of this linear relation using any two pair of points from the table. Using the first two points: (5, 17.5) and (8, 28)

First we need to find the slope of the line which gives the relation between the two variables.

Slope=\frac{\text{Difference in y coordinates}}{\text{Difference in x coordinates}}

y coordinates represents the dependent variable which is the time in this case and x coordinates represents the independent variable which is number of cranes in this case. Using the values from the two points we considered:

Slope=(28-17.5)/(8-5)=3.5

Thus, the equation of the line will be of the form:

t = mc + b

m is the slope here. Using its values, we get:

t = 3.5c + b

b is known as y-intercept. We need the value of b to complete the equation. Substituting the value of t and c from any pair we can find the value of b.

Using the point (5, 17.5), we get:

17.5 = 3.5(5) + b

b = 0

This means, the equation of the line would be:

t = 3.5c

Answer:

t=3.5c

Step-by-step explanation:

Pedro cut a sheet of poster board into 10 equal parts. His brother used some of the poster board and now 8/10 is left. Pedro wants to make a sign fromeach remaining part of the poster board. How many signs can he make?

Answers

Answer: 8


Step-by-step explanation:

Given: Pedro cut a sheet of poster board into 10 equal parts.

let x be the total sheet.

then, one part of sheet= (1)/(10) of the sheet

Now, His brother used some of the poster board and now 8/10 is left.

Therefore, if Pedro wants to make a sign from  each remaining part of the poster board.

then, The number of signs he can make= (8)/(10)/ (1)/(10)=(8)/(10)*(10)/(1)=8

Hence, Pedro can make 8 signs.

out of the 10 his brother took two sheets out of the 10 that would leave him with 8 out of 10,left

What is 10 5/16-(5 1/4 +2 9/16)

Answers

10(5)/(16)-(5(1)/(4)+2(9)/(16))=\ \ \ \ | make\ common\ denominator\n\n10(5)/(16)-(5(4)/(16)+2(9)/(16))=\ \ \ | omit\ the\ bracket\n\n10(5)/(16)-5(4)/(16)+2(9)/(16)=7(5-4+9)/(16)=7(10)/(16)\n\nSolution\ is\ 7(10)/(16).

Here are some numbers.5 4 3 9 7
Which of these numbers is:

a factor of 32?
a common factor of 12 and 21?

Answers

A factor is an integer multiplied with another integer to get the product.

Factors of 32 are 1, 2, 4, 8, 16, 32. Among the given choices, 4 is the factor of 32.

Factors of 12 are 1, 2, 3, 4, 6, 12
Factors of 21 are 1, 3, 7, 21
The common factors of 12 and 21 are 1 and 3. Among the given choices, 3 is the common factor of 12 and 21.
4 is a factor of 32
and 3 is a common factor of 12 and 21