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LenaWriter [7]
3 years ago
10

PLEASE HELP!!! Explain how you got the answer! Will give brainliest to best answer!

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
7 0

You want one non-zero digit in front of the decimal. Count how many times the decimal must move to be behind the first non-zero digit. This is the power on the ten. If it moves to the left, the power is negative. If you must move it to the right it is positive.

I counted 7 moves to get to behind the 6.

6.85 x 10^ -7



Feliz [49]3 years ago
5 0
The correct answer is 6.85 x 10-7 . Check the exponent of the 10 then move the decimal point that many places to the left.
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B4%7D%20-%20%20%5Cfrac%7B3%7D%7B8%7Dy%20%3D%203%20%5C%5C%20" id="TexFormula
MariettaO [177]

Answer:

(6, - 4 )

Step-by-step explanation:

Given the 2 equations

\frac{x}{4} - \frac{3}{8} y = 3 → (1)

\frac{5}{3} x - \frac{y}{2} = 12 → (2)

Multiply (1) by 8 and (2) by 6 to clear the fractions

2x - 3y = 24 → (3)

10x - 3y = 72 → (4)

Rearrange (3) expressing - 3y in terms of x by subtracting 2x from both sides

- 3y = 24 - 2x

Substitute 3y = 24 - 2x into (4)

10x + 24 - 2x = 72, that is

8x + 24 = 72 ( subtract 24 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

Substitute x = 6 in either (3) or (4) and solve for y

Substituting in (3)

2(6) - 3y = 24

12 - 3y = 24 ( subtract 12 from both sides )

- 3y = 12 ( divide both sides by - 3 )

y = - 4

Solution is (6, - 4 )

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