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Nikitich [7]
4 years ago
11

The quotation of 21 and the difference between 6 and 3

Mathematics
1 answer:
liubo4ka [24]4 years ago
6 0

Answer:

7

Step-by-step explanation:

I believe you meant, "The quotient of 21 and the difference between 6 and 3."  That would be:

  21

-------- = 21/3 = 7

6 - 3

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17. Critique Reasoning Lisa used a number line to model 2(3). Does her number line make sense? Explain why or why not. 8-7-6-5-4
timama [110]

Reasoning Criticism Lisa modeled 2 with a number line (3). Her logical number line is -6.

<h3>What is meant by number line?</h3>
  • A number line is a graphical representation of numbers on a straight line. A number line has numbers that are sequentially placed at equal distances along its length.
  • It can be extended in any direction indefinitely and is usually represented horizontally. A number line is a horizontal line with mathematical increments spaced evenly.
  • The numbers on the line will determine how to answer the number on the line. The number's use is determined by the question that goes with it, such as plotting a point.
  • The number line is a straight line with divisions at equal intervals, similar to a scale.

Therefore, Reasoning Criticism Lisa modeled 2 with a number line (3). Her logical number line is -6.

To learn more about number line, refer to:

brainly.com/question/24644930

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8 0
1 year ago
Simplify:3x×2x×x⁴ plz help me I am confuse I think the answer is 6x⁶ It is or not plz help me❤️❤️​
vitfil [10]

Answer:

6x^2^x^2+x^4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the common ratio of the sequence?<br> -2, 6, -18, 54,...
marta [7]

Answer:1:3

Step-by-step explanation:

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4 years ago
4 points
adell [148]
267.05 hope this helpssss
8 0
3 years ago
3х - 30 = у<br> 7y - 6 = 3х
mars1129 [50]

Answer:

Step-by-step explanation:

This one is simple substitution... at least, substitution is the easiest method. The first equation is 3<em>x</em> – 30 = <em>y</em>  and the second is 7<em>y</em> – 6 = 3<em>x</em>

As I look, I see 3 ways to use substitution to solve this:

  1. substitute 7<em>y</em> – 6 for 3<em>x</em>
  2. substitute 3<em>x</em> – 30 for <em>y</em>
  3. solve 3<em>x</em> – 30 = <em>y</em> for 3<em>x</em> and make it equal to 7<em>y</em> – 6

We're going to only use 1 method for the sake of time. Try the other two on your own. Assuming you don't make any mistakes, they will work.

<u>Method 1</u>:

3<em>x</em> – 30 = <em>y</em>

7<em>y</em> – 6 = 3<em>x</em>  — initial system of equations

7<em>y</em> – 6 – 30 = <em>y</em>  — substitute 7<em>y</em> – 6 for 3<em>x</em>

<u>7</u><u><em>y</em></u> – 6 – 30 = <u><em>y</em></u>  — marking like terms, bold for constants, <u>underlined</u> for variables

7<em>y</em> – 36 = <em>y</em>  — combining the constants and simplifying

Here, you could diverge into multiple paths: add 36 to both sides, subtract <em>y</em> from both sides, divide by 6 OR subtract 7<em>y</em> from both sides and divide by –6 . For the sake of time, I'm subtracting 7<em>y</em>, though I don't like dealing with negatives.

7<em>y</em> – 7<em>y</em> – 36 = <em>y</em> – 7<em>y</em>  — subtract 7<em>y</em> from both sides

–36 = –6<em>y</em>  — simplify

–36 ÷ –6 = –6<em>y</em> ÷ –6  — divide by –6 on both sides

<em>y</em> = 6  — simplify

Again, we can diverge here: substitute <em>y</em> into 3<em>x</em> – 30 = <em>y</em> or substitute <em>y</em> into 7<em>y</em> – 6 = 3<em>x</em>

I'm going to choose 3<em>x</em> – 30 = <em>y</em> but it will work either way, should you take the time (if you have it) to chase down every path this problem can take.

3<em>x</em> – 30 = <em>y</em>  — initial equation

3<em>x</em> – 30 = 6  — substitute 6 for <em>y</em>

3<em>x</em> – 30 + 30 = 6 + 30  — add 30 to both sides to isolate 3<em>x</em>

3<em>x</em> = 36  — simplify the expression

3<em>x</em> ÷ 3 = 36 ÷ 3  — divide both sides by 3 to isolate <em>x</em>

<em>x</em> = 12  — simplify

So, we have <em>x</em> = 12 and <em>y</em> = 6 . We know they work for 3<em>x</em> – 30 = <em>y</em>  but not if they work for 7<em>y</em> – 6 = 3<em>x</em> . Let's substitute those in to see if (12, 6) really is the solution point.

7<em>y</em> – 6 = 3<em>x</em>  — original equation

7(6) – 6 ≟ 3(12)  — substitute 6 for <em>y</em> and 12 for <em>x</em>

42 – 6 ≟ 36  — simplify by multiplying

36 = 36 ✔  — simplify by combining like terms on left side

Success! It works! We have found our solution!

I hope this helps increase your understanding of the concept. Have a great day!

8 0
3 years ago
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