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Zinaida [17]
3 years ago
11

4. Mary Tuttle owns a carpet-cleaning business. She charges $67.95 for a

Mathematics
1 answer:
Shtirlitz [24]3 years ago
6 0

Answer:

The Answer is: 25 two bedroom homes and 33 three bedroom homes.

Step-by-step explanation:

Let t = two bedroom homes and th = three bedroom homes.

The number of each time by the charges is equal to the total gross recepts:

67.95t + 82.25th = 4413.00

There were 8 more three bedroom than two bedroom:

th = t + 8

By substitution:

67.95t + 82.25(t + 8)  = 4413

67.95t + 82.25t + 658 = 4413

150.20t = 4413 - 658

150.20t = 3755

t = 3755 / 150.20 = 25 two bedroom homes.

th = t + 8 = 25 + 8 = 33 three bedroom homes

Proof:

67.95(25) + 82.25(33) = 4413

1698.75 + 2714.25 = 4413

4413 = 4413

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Answer:

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Step-by-step explanation:

A) the slope values you have put in your problem statement are correct. As you know, they are computed from ...

  (change in gallons)/(change in time)

where the reference point for changes is P. Using the first listed point Q as an example, the secant slope is ...

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The tangent slope at point P is estimated at -166 gpm.

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3 years ago
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Write the equation of the line that passes through the points (-9,-5) and (-7,2).
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3 years ago
Is the relation (-1, 1), (-2, 3), (-3, 5), (-4, 7), (-5, 9) a function?
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3 years ago
Read 2 more answers
Solve for x. Round your answer to two decimal places. Show your work for full credit.
omeli [17]

Answer:

x ≈ 14.30

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Trigonometry</u>

  • sin∅ = opposite over hypotenuse

Step-by-step explanation:

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

∅ = 39°

opposite leg = 9

hypotenuse = x

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

  1. Substitute:                              sin39° = 9/x
  2. Multiply <em>x</em> on both sides:       xsin39° = 9
  3. Isolate <em>x</em>:                                 x = 9/sin39°
  4. Evaluate:                                 x = 14.3011
  5. Round:                                    x ≈ 14.30
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3 years ago
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