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prohojiy [21]
3 years ago
14

Write your answer in scientific notation. (3.2 x 10^-2) + (3.2 x 10^-4) + (2.8 x 10^-2)

Mathematics
1 answer:
mars1129 [50]3 years ago
3 0
3.2 x 10^-2 + 3.2 x 10^-4 + 2.8 x 10^-2
= 3.2 + 2.8
= 6 x 10^-2 + 3.2 x 10^-4
Convert 3.2 into fraction which is 16/5
And express with a positive exponent using “a^-n = 1/a^n” therefore
= 6 x 10^-2 + 16/5 x 1/10^4
= 6 x 1/10^2 + 16/5 x 10^4
= 6 x 1/100 + 16/5 x 10,000
Reduce 6 and 100 with the GCF ‘2’
Then reduce 16 and 10,000 with 16
= 3 x 1/50 + 1/5 x 625
Multiply
= 3/50 + 1/3125
Then add
The answer is
= 377/6250
= 0.06032
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We know that Step 1 is correct, because it is just a restatement of the equation. Therefore, we can eliminate Step 1:

2(5y – 2) = 12 + 6y

In Step 2, the student tried using the Distributive Property. The Distributive Property can be written as one of the two following formulas:

a(b + c) = ab + ac
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In this case, we'll use the second formula. Substitute any known values into the equation above and simplify:

2(5y – 2) = 2(5y) – 2(2)
2(5y – 2) = 10y – 4

In Step 2, the student calculated 2(5y – 2) to equal 7y – 4. However, we have just proven that 2(5y – 2) is equal to 10y – 4.

The student first made an error in Step 2, and the correct step is:

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8 0
3 years ago
Find the value of w-9 given that –3w+5 = 2
melamori03 [73]

Answer:

-8

Step-by-step explanation:

Solving for w given the equation, -3w +5 = 2:

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3 0
3 years ago
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lara31 [8.8K]

Answer:

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Step-by-step explanation:

We just need to put in the values of x into the equation: y = 4x + 3.

<u>x = 1: </u>

y = 4(1) + 3

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y = 7

<u>x = 2: </u>

y = 4(2) + 3

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y = 11

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y = 4(3) + 3

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y = 15

<u>x = 4:</u>

y = 4(4) + 3

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y = 19

<u>x = 5:</u>

y = 4(5) + 3

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y = 23

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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