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Aleks04 [339]
3 years ago
13

Shawana reduced the size of a rectangle to a height of 2 in. What is the new width of it was originally 24 in. wide and 12 in. t

all?
Mathematics
1 answer:
Bumek [7]3 years ago
5 0

Answer: 4 in. Wide

Step-by-step explanation:

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pls help will give brainliest Rena used the steps below to evaluate the expression (StartFraction (x Superscript negative 3 Base
kaheart [24]

Answer:

  First "order of operations" mistake: step 2

  First arithmetic mistake: step 4

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>

  \text{Use reciprocals and find the value}\\\\\dfrac{1}{2^32^6(-1)^{21}}=\dfrac{1}{8\cdot 64\cdot (-1)}=\dfrac{-1}{512}\qquad\text{error: $2^3$ is used instead of $2^{-3}$}

_____

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.

7 0
3 years ago
Simplify. (3x^2 + 3) - (6x + 4) + (3x^2 - 5x)
r-ruslan [8.4K]

Answer:

6x^2 -11x -1

Step-by-step explanation:

(3x^2 + 3) - (6x + 4) + (3x^2 - 5x)

Distribute the minus sign

(3x^2 + 3) - 6x - 4) + (3x^2 - 5x)

Combine like terms

3x^2 + 3x^2 - 6x  - 5x -4+3

6x^2 -11x -1

3 0
3 years ago
FIND THE DIFFerence.<br> 78,000 - 9,743 =
vitfil [10]

Answer:

68257

Step-by-step explanation:

4 0
3 years ago
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6.025 (25 is repeating) as a mixed number
Mashutka [201]

Answer:

6.025 as a mixed number is 6 1/40

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What is the t-intercept of the line shown below?
larisa86 [58]

Answer:

the y intercept is 2

Step-by-step explanation:

its when the slope passes through the y-axis

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