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Aleks [24]
3 years ago
15

Evaluate -2/5-4/5+(-9/10)

Mathematics
1 answer:
Gennadij [26K]3 years ago
8 0

Answer:

-21/10

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

-2/5 - 4/5 + (-9/10)

<u>Step 2: Evaluate</u>

  1. Subtract:                                                                                                          -6/5 + (-9/10)
  2. Rewrite:                                                                                                           -6/5 - 9/10
  3. Subtract:                                                                                                          -21/10
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<h3><u>Solution:</u></h3>

Given that Alexis washes 10\frac{1}{2} windows in \frac{3}{4} hours

<u><em>To find: </em></u>number of windows washed in one hour

To simplify the calculations we will convert the given mixed fraction to improper fraction

\begin{array}{l}{=10 \frac{1}{2}} \\\\ {=\frac{2 \times 10+1}{2}} \\\\ {=\frac{21}{2}=10.5}\end{array}

Hence, to wash 10.5 windows, Alexis takes 0.75 hours

Let "n" be the number of windows washed in 1 hour

10.5 windows ⇒ 0.75 hours

"n" windows ⇒ 1 hour

By cross-multiplication we get,

n \times 0.75 = 10.5 \times 1

n = \frac{10.5}{0.75} \\\\n = 14

Thus Alexis can wash 14 windows in one hour

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Answer:

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Step-by-step explanation:

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