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Mashutka [201]
3 years ago
12

Denise spent 45.24 for 3 pairs of shoes. What was the average cost per pair?

Mathematics
1 answer:
dolphi86 [110]3 years ago
7 0
$15.08 because $45.24 ÷ 3
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Simplify<br>-6√20+2√45+7√5 <br><br>show Woking out to prove ans please​
Dmitry_Shevchenko [17]

Answer:

\sqrt{5}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplifying the radicals

\sqrt{20} = \sqrt{4(5)} = \sqrt{4} × \sqrt{5} = 2\sqrt{5}

\sqrt{45} = \sqrt{9(5)} = \sqrt{9} × \sqrt{5} = 3\sqrt{5}

Thus

- 6(2\sqrt{5}) + 2(3\sqrt{5}) + 7\sqrt{5}

= - 12\sqrt{5} + 6\sqrt{5} + 7\sqrt{5}

= \sqrt{5}

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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

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Galina-37 [17]
Volume of  pyramid  = 1/3 * height * area of the base

                                 = 1/3 * volume of the cube

                                 = 6 cm^3
  
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