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Tresset [83]
3 years ago
7

If the sum of a number and six is tripled. the result is five less than twice the number

Mathematics
2 answers:
Anit [1.1K]3 years ago
8 0
Set up an equation like this and solve for x (which represents the number):

3(x + 6) = 2x - 5

3x + 18 = 2x - 5

x + 18 = -5

x = -23

You can complete a check to verify the answer:

3(-23 + 6) = 2(-23) - 5

3(-17) = -46 - 5

-51 = -51

Check.
Readme [11.4K]3 years ago
4 0
We need to build two equations. We then need to make them equal to each other

Let’s have x as the number.
Ths sum of a number and 6 tripled.
We are first adding the number and 6: x+6
We need to triple it, meaning multiply by three:
3(x+6)

The result is five less than twice the number.
The equation we made equals the equation we are about to make.
We need to first multiply the number by two: 2x
Now subtract 5 since it’s five less: 2x-5

This is what our equation looks like:
2x-5=3(x+6)
Now we need to get x by itself.

Let’s first distribute.
2x-5=3x+18
Let’s add 5 to both sides.
2x=3x+23
Now, subtract 3x from both sides.
-1x=23
Divide.
23/-1=-23

If the number is -23, let’s check. We need to plug -23 in for x.
2(-23)-5=3(-23+6)
-46-5=3(-17)
-51= -51

So, the number is -23.
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Answer:

(9 \times 10^{8}) + (4 \times 10^{7}) + (3 \times 10^{6}) + (2 \times 10^{5}) +  (6 \times 10^{4}) +  (10^{3}) +  (5 \times 10^{2}) +  (8 \times 10) + (6 \times 10^{0})

Step-by-step explanation:

How do you put 943,261,586 with base ten numbers

943,261,586  =  

900,000,000 + 40,000,000 + 3,000,000 + 200,000 + 60,000 + 1,000 + 500 + 80 +6 =

(9 \times 10^{8}) + (4 \times 10^{7}) + (3 \times 10^{6}) + (2 \times 10^{5}) +  (6 \times 10^{4}) +  (10^{3}) +  (5 \times 10^{2}) +  (8 \times 10) + (6 \times 10^{0})

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A. 21

  • Thanks
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Match each irrational number line on which it is represented 2.18112... 2.1823912 2.364125 2.1829391321
sergij07 [2.7K]

Answer:

See Explanation

Step-by-step explanation:

The number lines to make selection from are missing from the question.

<em>However, I've attached 4 number lines, each of which represents each of the given irrational numbers (see attachment)</em>

<em></em>

<u>Number: 2.1823912</u>

This is represented by number line 1

Each point of number line 3 is 0.001 units starting from 2.18;

The point which the red dot is located is between 2.182 and 2.183, but the dot is closer to 2.182.

<em>2.1823912 and 2.1829391321 satisfy this property but number line 2 represents 2.1829391321 (see below for explanation)</em>

So: 2.1823912 is represented by number line 1

<u></u>

<u>Number: 2.1829391321</u>

This is represented by number line 2.

Each point of number line 3 is 0.0001 units starting from 2.182;

The point which the red dot is located is between 2.1829 and 2.1830, but the dot is closer to 2.1829.

From the list of given numbers, only 2.1829391321 satisfy this property.

<em />

<u>Number: 2.18112...</u>

This is represented by number line 3.

Each point of number line 3 is 0.01 units starting from 2.11;

The point which the red dot is located is between 2.18 and 2.19.

If number lines 1 and 2 represent 2.1823912 and 2.1829391321, respectively, then number line 3 represents 2.18112.

<u></u>

<u>Number: 2.364125 </u>

This is represented by number line 4.

Each point on this number line is 0.1 unit starting from 2.0;

The point which the red dot is located is between 2.30 and 2.40. From the list of given numbers, only 2.364125  satisfy this property.

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AlexFokin [52]

Answer:

C

Step-by-step explanation:

The length of the segment is 7

2-7/2 = -3/2

(1,-3/2)

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