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Ulleksa [173]
3 years ago
15

Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an ini

tial fee of $10.00 and an hour rate of $10.50. At how many hours of instruction will the price for each instructor be the same?
A. 2 hours
B. 3 hours
C. 20 hours
D. 30 hours
Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0
The answer is B. 3 hours
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314 + 2x = 540
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-36x - 24 ≤ -6(5x + 12)​
puteri [66]

Answer:

x ≥ 8

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

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

-36x - 24 ≤ -6(5x + 12)

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

  1. Distribute -6:                         -36x - 24 ≤ -30x - 72
  2. Add 36 on both sides:         -24 ≤ 6x - 72
  3. Add 72 on both sides:          48 ≤ 6x
  4. Divide both sides by 6:         8 ≤ x
  5. Rewrite:                                  x ≥ 8

Here we see that any number <em>x</em> greater than or equal to 8 would work as a solution.

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Please show work Thxs
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As the y intercept lies on the x-axis, x=0

To find the y-intercept, put x=0 into the equation:

3(0) - 2y =  - 18 \\ 0 - 2y =  - 18 \\  - 2y =  - 18 \\ y =  \frac{18}{2}  \\ y = 9

Therefore,the y-intercept=9.

Hope it helps!
5 0
4 years ago
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