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Maurinko [17]
3 years ago
8

Nic paid a total of $25.68 for a game including 7% tax want was the price before tax

Mathematics
1 answer:
Volgvan3 years ago
5 0


x + 0.07x = 25.68

1.07 x = 25.68

x = 24

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Sophie practices the piano 105 minutes in 1 week. If t represents the total time she practices for any number of days, d, write
Alex Ar [27]

Answer:

<h3>t = 15d</h3>

Step-by-step explanation:

You must first know that 1 week = 7days

If Sophie practices the piano 105 minutes in 1 week, this can be expressed as;

105 minutes = 7days

to calculate the total time t that she practices for any number of days, d, we will say;

t minutes = d days.

Solving both expression;

105 minutes = 7days

t minutes = d days.

Cross multiply;

7 * t = 105 * d

7t = 105d

Divide both sides by 7;

7t/7 = 105d/7

t = 15d

Hence a proportional equation for t in terms of d that matches the context is expressed as t = 15d

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If AB is parallel to CD and the slope of AB IS -3 what is the slope of CD?
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4 0
3 years ago
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What is the y value of the solution to the system of equations given? y=5x-3 3x-2y=27
nignag [31]

Answer:

y = -18

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

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Step-by-step explanation:

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

y = 5x - 3

3x - 2y = 27

<u>Step 2: Rewrite systems</u>

  1. Define:                                        3x - 2y = 27
  2. Add 2y on both sides:               3x = 2y + 27
  3. Divide 3 on both sides:              x = 2/3y + 9

<u>Step 3: Redefine</u>

y = 5x - 3

x = 2/3y + 9

<u>Step 4: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em>:                              y = 5(2/3y + 9) - 3
  2. Distribute 5:                                  y = 10/3y + 45 - 3
  3. Combine like terms:                     y = 10/3y + 42
  4. Subtract 10/3y on both sides:      -7/3y = 42
  5. Divide -7/3 on both sides:            y = -18
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Answer:

9 gallons were used

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