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Masja [62]
3 years ago
8

Which quotient is greater than 3? 36 ÷ 15 32 ÷ 14 30 ÷ 12 28 ÷ 8

Mathematics
1 answer:
shepuryov [24]3 years ago
8 0

Answer:

28 divided by 8 = 3.5

Step-by-step explanation:

36 divided by 15 is 2.4, 32 divided by 14 is 2.29, 30 divided by 12 is 2.5, and 28 divided by 8 is 3.5. The greatest quotient comes from 28 divided by 8 which is 3.5

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Answer:

  First "order of operations" mistake: step 2

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Step-by-step explanation:

As we understand Rena's work, she wants to simplify ...

  \left(\dfrac{x^{-3}y^{-2}}{2x^4y^{-4}}\right)^{-3}

for x = -1 and y = 2.

Her work seems to be ...

<u>Step 1</u>

  \text{Substitute $x=-1$ and $y=2$ into the expression}\\\\\left(\dfrac{(-1)^{-3}2^{-2}}{2(-1)^42^{-4}}\right)^{-3}\qquad\text{no error}

<u>Step 2</u>

  \text{Simplify the parentheses}\\\\\left(\dfrac{2^4}{2(-1)^4(-1)^32^2}\right)^{-3}=\left(\dfrac{2^2}{2(-1)^7}\right)^{-3}\qquad\text{order of operations error}

<u>Step 3</u>

  \text{Evaluate the power to a power}\\\\\dfrac{2^{-6}}{2^{-3}(-1)^{21}}\qquad\text{no error}

<u>Step 4</u>

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_____

So, the first arithmetic error is in Step 4. However, the order of operations requires exponents be evaluated first. Doing that makes step 2 look like ...

  \left(\dfrac{-\dfrac{1}{4}}{2(1)\dfrac{1}{16}}\right)^{-3}=(-2)^{-3}\qquad\text{proper Step 2}

__

We expect your answer is supposed to be Step 4.

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