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ololo11 [35]
4 years ago
5

A warehouse supply worker accidentally misreads the number 75 as 57. What percent change did the reading error result in?

Mathematics
1 answer:
snow_lady [41]4 years ago
8 0

The percent change is 24 % due to reading error

<em><u>Solution:</u></em>

Given that a warehouse worker misread the number 75 as 57

To find: percent change due to reading error

<em><u>Step 1:</u></em>

Find the difference between the correct number and misread number

75 - 57 = 18

<em><u>Step 2:</u></em>

Calculate the percentage change due to reading error

\text{ Percent change }= \frac{difference\ between\ numbers}{correct\ number} \times 100

Percent\ change= \frac{18}{75} \times 100

\rightarrow \frac{18}{75} \times 100 = 0.24 \times 100 = 24

Thus the percent change is 24 % due to reading error

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Write the resultant of the two vectors as an ordered pair. –6 5 and 6 –5
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Answer:

Resultant vector of two vectors is (0, 0).

Step-by-step explanation:

in this question two vectors having ordered pair (-6, 5) and (6, -5) have been given.

We can represent these vectors in the form of

\vec{A}=-6\hat{x}+5\hat{y}

and \vec{A'}=6\hat{x}+(-5)\hat{y}

Now the resultant of these vectors will be = A + A'

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How do I solve this math problem 53x6=6x53=
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3 years ago
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
Luden [163]

Answer:

x = -10

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   36 - 4.5x + 36 = 102 - 7.5x - 60
  2. Combine like terms:                   -4.5x + 72 = -7.5x + 42
  3. Add 7.5x on both sides:             3x + 72 = 42
  4. Subtract 72 on both sides:        3x = -30
  5. Divide 3 on both sides:              x = -10

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)
  2. Simplify:                               4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)
  3. Multiply:                               4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)
  4. Add:                                     4.5(18) + 36 = 102 - 2.5(-6)
  5. Multiply:                               81 + 36 = 102 + 15
  6. Add:                                     117 = 117

Here we see that 117 does indeed equal to 117.

∴ x = -10 is a solution of the equation.

7 0
3 years ago
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