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noname [10]
3 years ago
10

If five mechanical pencils cost #4.27. What scale factor could be used to calculate the cost of 54 pencils

Mathematics
1 answer:
solmaris [256]3 years ago
5 0

If five mechanical pencils cost #4.27.

we need to find the scale factor used to calculate the cost of 54 pencils

We are given with 5 pencils

We need to find the scale factor for 54 pencils

we need to find out what multiply with 5 to get 54

For that we divide 54 by 5

\frac{54}{5} = 10.8

so scale factor is 10.8

5 times 10.8 = 54

We multiply the scale factor 10.8 by cost of 5 pencils to find the cost of 54 pencils

10.8 * 4.27 = 46.116 = $46.12

the scale factor 10.8 is used to calculate the cost of 54 pencils

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Answer:

The total change in water level over the past 2 years is \displaystyle -4 \frac{1}{6}.

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Year 1 water change:  \displaystyle -2 \frac{1}{3}

Year 2 water change:  \displaystyle -1 \frac{5}{6}

<u>Step 2: Find Total Water Change</u>

  1. [Set up] Add yearly water changes:                                                                \displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}
  2. [Fractions] Convert to improper:                                                                     \displaystyle \frac{-7}{3} - \frac{11}{6}
  3. [Fraction] Rewrite [LCM]:                                                                                  \displaystyle \frac{-14}{6} - \frac{11}{6}
  4. [Order of Operations] Subtract:                                                                       \displaystyle \frac{-25}{6}
  5. [Fraction] Convert to proper:                                                                           \displaystyle -4 \frac{1}{6}
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