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MakcuM [25]
3 years ago
15

The drawing plan for an art studio shows a rectangle that is 13.2 inches by 6 inches. The scale in the plan is 3 in 5 ft. Find t

he length and width of the actual studio. Then find the area of the actual studio
Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0

Answer:

Actual length = 22 feet

Actual width = 10 feet

Actual area = 220 sq. feet.

Step-by-step explanation:

The scale in the drawing plan is 3 inches : 5 feet.

So, it interprets that the original length of 5 feet is drawn in the drawing plan of 3 inches length.

Therefore, 13.2 inches length of the drawing is equivalent to \frac{5}{3}\times 13.2 = 22 feet in the original length. (Answer)

And, the 6 inches width of the drawing is equivalent to \frac{5}{3} \times 6 = 10 feet in the original width. (Answer)

Now, the area of the actual studio will be (22 × 10) = 220 sq. feet. (Answer)

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Answer:

(4, 1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
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  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
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<u>Algebra I</u>

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Step-by-step explanation:

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

y = 2x - 7

y = -x + 5

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                2x - 7 = -x + 5
  2. [Addition Property of Equality] Isolate <em>x</em> terms:                                            3x - 7 = 5
  3. [Addition Property of Equality] Isolate <em>x</em> term:                                              3x = 12
  4. [Division Property of Equality] Isolate <em>x</em>:                                                       x = 4

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                                                                               y = -x + 5
  2. Substitute in <em>x</em>:                                                                                                y = -4 + 5
  3. Add:                                                                                                                 y = 1
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The actual distance between cities is 580 miles.

Step-by-step explanation:

Map distance = 7\frac{1}{4} inches = \frac{29}{4}\ inches

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Now,

\frac{29}{4}\ inches = \frac{29}{4}*80\\\\\frac{29}{4}=29*20\\\\\frac{29}{4}\ inches = 580\ miles

The actual distance between cities is 580 miles.

Keywords: fraction, multiplication

Learn more about fractions at:

  • brainly.com/question/2367554
  • brainly.com/question/2670657

#LearnwithBrainly

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