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olga2289 [7]
2 years ago
15

Answer this Question

Mathematics
1 answer:
enyata [817]2 years ago
8 0

Answer:

n = -13

Step-by-step explanation:

√10 - 3n = 7 ⇔

⇔ 10 - 3n = 49 ⇔ We need to remove the square root. Ex: √n = 2 ⇔ n = 2²

⇔  -3n = 49 - 10 ⇔
⇔ -3n = 39 ⇔
⇔ n = \frac{39}{-3} = -13 (as -3 changes members, as it was multiplying, it now divides, conversion).

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Joanna buys a table and 2 chairs. She receives a 25% discount for being a preferred customer and then pays 6% sales tax on the d
Scrat [10]

The total purchase price is $ 357.75

<em><u>Solution:</u></em>

Joanna buys a table and 2 chairs

Cost of table = $ 250

Cost of 1 chair = $ 100

Therefore, cost of a table and 2 chairs = 250 + 2(100) = 450

Thus, cost price = $ 450

<em><u>She receives a 25% discount for being a preferred customer</u></em>

Therefore, discount = 25 % of cost price

discount = 25 \% \times 450\\\\discount = \frac{25}{100} \times 450\\\\discount = 0.25 \times 450 = 112.5

Thus, amount after discount = cost price - discount

amount after discount = 450 - 112.5 = 337.5

Thus, amount after discount is $ 337.5

<em><u>Then pays 6% sales tax on the discounted purchase price</u></em>

Sales tax = 6 % of 337.5

sales\ tax = 6 \% \times 337.5\\\\sales\ tax = \frac{6}{100} \times 337.5\\\\sales\ tax = 20.25

<em><u>Thus, total purchase price is given as:</u></em>

total purchase price = Amount after discount + sales tax

total purchase price = 337.5 + 20.25 = 357.75

Thus total purchase price is $ 357.75

4 0
3 years ago
I'm stuck on this please help!!
kvv77 [185]
The answer is D
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dangina [55]

Answer:

Step-by-step explanation:

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2 years ago
Leon earns $14 an hour how much does he earn in 4 weeks If he works 12 hours each week
Rudiy27

Answer:

14$ times 12 hours =

168$

168$ times 4 weeks =  672$

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve the system using substitution.<br> y - 3x = 1<br> 2y - x = 12<br> ([?], [])
anyanavicka [17]

Answer:

(2, 5)

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

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

y - 3x = 1

2y - x = 12

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

y - 3x = 1

  1. Add 3x on both sides:                    y = 3x + 1

<u>Step 3: Redefine Systems</u>

y = 3x + 1

2y - x = 12

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                    2(3x + 1) - x = 12
  2. Distribute 2:                         6x + 2 - x = 12
  3. Combine like terms:           5x + 2 = 12
  4. Isolate <em>x</em> term:                     5x = 10
  5. Isolate <em>x</em>:                              x = 2

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    2y - x = 12
  2. Substitute in <em>x</em>:                       2y - 2 = 12
  3. Isolate <em>y </em>term:                        2y = 10
  4. Isolate <em>y</em>:                                 y = 5
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2 years ago
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