Find the common difference of the arithmetic sequence 5, 14, 23,...5,14,23,...

Answers

Answer 1
Answer:

Answer: 9

Step-by-step explanation: The common difference is the difference between each of the terms in an arithmetic sequence.

Let's work backwards.

First, we take the last term we are given and

subtract the second to last term.

So here, we subtract 23 - 14 to get 9.

Now, we take 14 - 5 to get 9.

Notice that 9 is our answer in both problems above.

That means it's our common difference.


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4x + 2(x – 3) = 4x + 2x – 11

Answers

This problem has no real solutions. This can be irritating, because it will often make you think that you've made a mistake somewhere, but equations with variables on both sides can work out to have no real answers.

4x + 2(x - 3) = 4x + 2x - 11   Given
4x + 2x - 6 = 4x + 2x - 11   Distribute 
6x - 6 = 6x - 11   Collect like terms
0 - 6 = -11   Subtract 6x from both sides
-6 = -11   This is an untrue statement, so the x is no real numbers. This can be represented as a capital R with two vertical slashes through it.

Hope this helps!

A fish tank is 20 feet long, 12 feet wide, and 10 feet deep. What is the volume of the fish tank?

Answers

Volume is length*width*height
20*12*10=2400
The fish tank is 2400 feet deep.
If I remember correctly. With the information that is given
The answer is 2,400.
Correct me if I'm wrong

108 is 36% of what number? Write and solve a proportion to solve the problem

Answers

Let the number = x

Then, it would be: (x*36)/100 = 108

x*36 = 10800

x = 10800/36

x = 300

108 is 36 percent of the number 300.

Use a proportion to proceed to find the number.

A proportion is an equation that shows two ratios are equivalent.
In this case, we want to find the number that 108 is 36% of.

Write this proportion as:

108/x = 36/100

Here,

x represents the unknown number that we want to find.

Simplify this proportion by cross-multiplying:

(108)( 100) = 36x

Simplifying further, we get:

x = (10800)/36

x = 300

Therefore, 108 is 36% of 300.

Hence, the required number is 300.

Learn more about the percent visit:

brainly.com/question/24877689

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sunil obtained 750 marks out of 800 and preeti obtained 540 marks out of 600. whose performance is better

Answers

Answer:

Step-by-step explanation:

Write in decimal form fourteen and eighty-Four hundredths

Answers

Hundredths is to numbers to the right of the decimal:

fourteen = 14
eighty-four hundredths = 0.84

All together:

14.84
 Writing in decimal form fourteen and eighty-four hundredths you get 14.84

What is the value of103x10-5x1010
———————-
106

A. 102
B. 108
C. 1012
D. 1014
E. 1025

Answers

Answer:

Please let me know if my calculations were incorrect. I am very sorry but unfortunately, your answer will be negative and not a whole number. None of the answers fit. It is either that I made a mistake or there is something wrong with the question.

Step-by-step explanation:

(103*10-5*1010)/(106) \n(1030-5050)/(106) \n(-4020)/(106) \n\n(-2010)/(53)