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Inessa05 [86]
4 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]4 years ago
5 0
The last one is 1.4 that is justified
skad [1K]4 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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2 years ago
arshad's father bought x sweets .(x-4)were eaten by children and 20 were left.how many sweets did his father bring
sleet_krkn [62]

Answer:

24

Step-by-step explanation:

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8 0
3 years ago
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lilavasa [31]

The count of the equilateral triangle is an illustration of areas

There are 150 small equilateral triangles in the regular hexagon

<h3>How to determine the number of equilateral triangle </h3>

The side length of the hexagon is given as:

L = 5

The area of the hexagon is calculated as:

A = \frac{3\sqrt 3}{2}L^2

This gives

A = \frac{3\sqrt 3}{2}* 5^2

A = \frac{75\sqrt 3}{2}

The side length of the equilateral triangle is

l = 1

The area of the triangle is calculated as:

a = \frac{\sqrt 3}{4}l^2

So, we have:

a = \frac{\sqrt 3}{4}*1^2

a = \frac{\sqrt 3}{4}

The number of equilateral triangles in the regular hexagon is then calculated as:

n = \frac Aa

This gives

n = \frac{75\sqrt 3}{2} \div \frac{\sqrt 3}4

So, we have:

n = \frac{75}{2} \div \frac{1}4

Rewrite as:

n = \frac{75}{2} *\frac{4}1

n = 150

Hence, there are 150 small equilateral triangles in the regular hexagon

Read more about areas at:

brainly.com/question/24487155

4 0
3 years ago
A diver starts at the surface of the water and travels 8 feet to the bottom.
Sauron [17]

Answer:

On the graph B, at 0 seconds the graph will be <u>at y=0.</u>

The graph will be <u>going down</u> until 2 seconds, when the diver reaches her deepest point. At 2 seconds the height of the graph will be -8ft.

Step-by-step explanation:

In graph B we are measuring the distance from the surface, that is we are setting the surface to be y=0. Thus if the diver reaches her deepest point 8ft down, she will be below y=0 and at -8ft.

Thus, in shape the graph B will be similar to graph A, but it will be shifted downed by 8ft.

7 0
4 years ago
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