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Inessa05 [86]
3 years ago
11

The solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?

Mathematics
2 answers:
Lina20 [59]3 years ago
5 0
The last one is 1.4 that is justified
skad [1K]3 years ago
4 0

Answer:

The last line of the justification is 1.2 = 0.6n

Step-by-step explanation:

Let's find an answer step by step so we can observe the last line of justification.

Let's start by the original equation:

1.4n + 2 = 2n + 3.2

By adding (-1.4n) and (-2) to both sides we obtain:

1.4n - 1.4n + 2 -2 = 2n - 1.4n + 3.2 - 2

which can be simplified as:

0 = 0.6n + 1.2

Adding (-1.2) to both sides we obtain:

0 - 1.2 = 0.6n + 1.2 - 1.2

which can be simplified as:

-1.2 = 0.6n, which is the last line of the justification.

Now by dividing in both sides by 0.6, we solve the equation:

-1.2/0.6 = 0.6n/0.6

which give us the solution: -2 = n.

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In one round of a board game, Chrissy scored 43 points. In the next round, she lost 103 point
frosja888 [35]

Answer:

-60

Step-by-step explanation:

43 - 103

4 0
3 years ago
8. For all pairs of real numbers P and Q where<br> P = 2Q + 9, Q = ?
Gnom [1K]

Answer:

Q = (P-9)/2

Step-by-step explanation:

5 0
3 years ago
A rectangular school banner has a length of 36 inches and a width of 52 inches. A sign is made that is similar to the school ban
zalisa [80]

Answer:

<u>4212 : 1573</u> is the ratio.

Step-by-step explanation:

Given:

Length of rectangular school banner is 36 inches and width is 52 inches.

And, the sign made is similar to banner.

The sign's length is 22 inches.

Now, we have to find the ratio of the area of the banner to the area of the sign.

So, we have dimensions of rectangular school banner:

Length = 36 inches.

Width = 52 inches.

But, we have only length of sign:

Length = 22 inches.

Now, we have to find the width of sign by using cross multiplication method:

Let the width of sign be x.

<em>As, sign is similar to banner.</em>

So, if 36 inches is equivalent to 52 inches.

Then, 22 inches is equivalent to x.

\frac{36}{52} =\frac{22}{x}

<em>By cross multiplying we get:</em>

<em />36x=1144<em />

<em>Dividing both sides by 36 we get:</em>

x=31\frac{7}{9} .

<em>Hence, the width of sign is </em>31\frac{7}{9}<em> inches.</em>

Now, we find the area of banner and the area of sign by putting formula:

Area of banner = length × width.

Area\ of\ banner=36\times 52

Area\ of\ banner=1872\ square\ inches.

Now, area of sign:

Area\ of\ sign=length\times width\\\\Area\ of\ sign=22\times 31\frac{7}{9} \\\\Area\ of\ sign=22\times \frac{286}{9} \\\\Area\ of\ sign=\frac{6292}{9} \ square\ inches.

Now, to get the ratio of the area of the school banner to the area of the sign:

1872:\frac{6292}{9}

=\frac{1872}{\frac{6292}{9} } \\\\=\frac{16848}{6292}

<em>On simplifying we get:</em>

=\frac{4212}{1573}

=4212:1573.

Therefore, the ratio of the area of the school banner to the area of the sign is 4212:1573.

8 0
3 years ago
22 is what percentage of 55%
Liula [17]

Answer:

12.1

Step-by-step explanation:

3 0
3 years ago
A cylinder has a radius of 14m and height of 6m. What is the exact volume of the cylinder?
bagirrra123 [75]
3694.51 is the answer because the formula you have to use is V=pi r^2h.
V=pi14^2*6 
V=pi*196*6
V=pi*1176
V=3694.51
3 0
3 years ago
Read 2 more answers
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