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sp2606 [1]
3 years ago
12

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
1 answer:
77julia77 [94]3 years ago
3 0

Answer:

- 0.8 = - 0.8

n = - 2 is a solution.

Step-by-step explanation:

1.4n + 2 = 2n + 3.2

1.4(- 2) + 2 = 2(- 2) + 3.2

- 2.8 + 2 = - 4 + 3.2

- 0.8 = - 0.8

How to solve

1.4n + 2 = 2n + 3.2

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

1.4n = 2n + 1.2

1.4n - 2n = 2n - 2n + 1.2

- 0.6n = 1.2

- 0.6n ÷ - 0.6 = 1.2 ÷ - 0.6

n = - 2

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4^3 > 6^2 Is this right or not right if not what other sign needs to go there.
Bess [88]

Answer:

that is right

Step-by-step explanation:

because 4×4×4 equals 64 and 6×6 equals 37 so it is 4^3>6^2

6 0
2 years ago
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A rectangular pool is 6 meters wide and 8 meters long. If you swim diagonally across the pool, how many meters would you be swim
Vitek1552 [10]

If you swim diagonally across the rectangular pool, the distance you swim is 10 meters.

<u>Given the following data:</u>

  • Width of rectangle = 6 meters
  • Length of rectangle = 8 meters

To determine the distance you swim in meters, we would apply Pythagorean's theorem since the width is along the x-axis while the length is along the y-axis.

Note: The diagonal side of the rectangular pool represents the hypotenuse.

Mathematically, Pythagorean's theorem is given by the formula:

Hypotenuse^2 = Opposite^2 + Adjacent^2

Substituting the given parameters into the formula, we have;

Hypotenuse^2 = 6^2 + 8^2\\\\Hypotenuse^2 = 36+64\\\\Hypotenuse^2 = 100\\\\Hypotenuse = \sqrt{100}

Hypotenuse = 10 meters.

Read more here: brainly.com/question/18890335

4 0
2 years ago
I need help before with this before 12:00 am
frutty [35]

Answer:

7.18 light-years

Step-by-step explanation:

6.8 x 10^13 = 68,000,000,000,000

9.46 x10 ^12 = 9,460,000,000,000

6.8 x 10^13  *  1 light year / 9.46 x 10^12 = 7.188 light years.

Have a Merry X-MAS Plz MArk Branilest

6 0
2 years ago
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In a geometric sequence, if a3 = ‒5 and a6 = 40, determine a1, r, and an. Then write the first three terms of the sequence.
Tresset [83]
a_4=ra_3
a_5=ra_4=r^2a_3
a_6=ra_5=r^3a_3

40=-5r^3\implies r^3=-8\implies r=-2

a_3=ra_2=r^2a_1

-5=(-2)^2a_1\implies a_1=-\dfrac54

You know the first and third terms, a_1 and a_3, so you just need to find the second term a_2:

a_2=ra_1\implies a_2=-2\left(-\dfrac54\right)=\dfrac52
7 0
3 years ago
Which point on the graph shows the price of 6 ounces of cheese? Use the formula y=x÷2 to find y when x is 6.
RSB [31]

The value of y is 3 when x is 6.

Solution:

The given table is the amount of cheese in ounces and the cost price.

Let x represents the amount of cheese and y represents the cost price.

The formula which derived from the table is y = x ÷ 2.

That is $y=\frac{x}{2}.

<u>To find the value of y when x is 6:</u>

$y=\frac{x}{2}

Substitute x = 6 in the formula, we get

$y=\frac{6}{2}

y = 3

Hence the value of y is 3 when x is 6.

7 0
3 years ago
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