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Arada [10]
2 years ago
7

shirts are 40% off. The original price of one shirt is $40. What is the total cost in dollars, of a shirt, at the sale price, in

cluding a 5% sales tax?
Mathematics
1 answer:
alexandr402 [8]2 years ago
3 0
\begin{gathered} \text{ Original price = \$40} \\ \text{Amount off = 40\% of \$40} \\ \text{Amount off = }\frac{40}{100}\text{ x \$40 = \$16} \\ \text{New price = Origina price - Amount off} \\ \text{New price = \$40 - \$16 = \$24} \end{gathered}

Sales tax = 5%

Note that the sales tax is calculated on the New price and not on the original price

\text{ Sales tax = }\frac{5}{100}\text{  x \$24 = \$1.2}

Total cost = New price + sales tax

Total cost = $24 + $1.2 = $25.2

The answer is $25.2

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The perimeter of a rectangle is equal to 163 yard. The width is 8 more than twice the length. Find the length and width.​
Sedaia [141]

Answer:

l = 29.4 yards

w = 66.8 yards

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Perimeter of a Rectangle: P = 2w + 2l

Step-by-step explanation:

<u>Step 1: Define</u>

P = 163 yards

w = 2l + 8

l = l

<u>Step 2: Set up equation</u>

P = 2w + 2l

163 = 2(2l + 8) + l

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

  1. Distribute 2:                              163 = 4l + 16 + l
  2. Combine like terms:                 163 = 5l + 16
  3. Subtract 16 on both sides:        147 = 5l
  4. Divide both sides by 5:             147/5 = l
  5. Rewrite:                                      l = 147/5
  6. Evaluate:                                    l = 29.4 yards

<u>Step 4: Find </u><em><u>w</u></em>

  1. Define:                    w = 2l + 8
  2. Substitute:              w = 2(29.4) + 8
  3. Multiply:                  w = 58.8 + 8
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3 years ago
Question 7 of 10<br> What is the solution to this equation
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Answer:

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x = 4 (Divide 5 on both sides)

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