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kirill [66]
3 years ago
7

on a shopping trip, Gina buys two books priced $4.99 and $12.99. She also buys 2 notebooks, 2 packs of pencils, and 3 compositio

n books. The books are on sale for 10% off the list price and school supplies are 15% off. The store charges 6.5% sales tax. Item Cost ($) Notebooks 2.88 Composition Books 0.79 Pencil Packs 1.89
Mathematics
1 answer:
musickatia [10]3 years ago
5 0

The total cost of items Gina bought on her shopping trip given the percentage discount is $26.31

Given:

<em>cost of two books</em> = $4.99 + $12.99

= $17.98

<em>Amount paid for books</em> = $17.98 - 10% of $17.98

= 17.98 - 0.1 × 17.98

= 17.98 - 1.798

= $16.182

<em>Cost of notebooks = quantity × price</em>

= 2 × $2.88

= $5.76

<em>cost of composition books = quantity × price</em>

= 3 × $0.79

= $2.37

<em>cost of pencil packs</em> = quantity × price

= 2 × $1.89

= $3.78

Total cost = $5.76 + $2.37 + $3.78

= $11.91

<em>Amount paid for school supplies </em>= $11.91 - 15% of $11.91

= 11.91 - 0.15 × 11.91

= 11.91 - 1.7865

= $10.1235

Therefore,

total cost of all items Gina bought = $16.182 + $10.1235

= $26.3055

Approximately, $26.31

Read more:

brainly.com/question/19535437

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Answer:

The simple solutions are:

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Down 6:  (-2,-3-6) = (-2,-9)

 

Those are for horizontal or vertical

line segments.

Step-by-step explanation:

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3 years ago
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If a = √3-√11 and b = 1 /a, then find a² - b²​
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If b=\frac1a, then by rationalizing the denominator we can rewrite

b = \dfrac1{\sqrt3-\sqrt{11}} \times \dfrac{\sqrt3+\sqrt{11}}{\sqrt3+\sqrt{11}} = \dfrac{\sqrt3+\sqrt{11}}{\left(\sqrt3\right)^2-\left(\sqrt{11}\right)^2} = -\dfrac{\sqrt3+\sqrt{11}}8

Now,

a^2 - b^2 = (a-b) (a+b)

and

a - b = \sqrt3 - \sqrt{11} + \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{9\sqrt3 - 7\sqrt{11}}8

a + b = \sqrt3 - \sqrt{11} - \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{7\sqrt3 - 9\sqrt{11}}8

\implies a^2 - b^2 = \dfrac{\left(9\sqrt3 - 7\sqrt{11}\right) \left(7\sqrt3 - 9\sqrt{11}\right)}{64} = \boxed{\dfrac{441 - 65\sqrt{33}}{32}}

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Answer:

Step-by-step explanation:

(x₁, y₁) = (-2 , -5)   & (x₂ , y₂) = (-3 , 1)

Midpoint = (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

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What is the simplified expression for 3 y squared minus 6 y z minus 7 + 4 y squared minus 4 y z + 2 minus y squared z? y squared
tresset_1 [31]

Answer:

7y^2 - y^2z - 10yz-5

C. 7 y squared minus y squared z minus 10 y z minus 5

Step-by-step explanation:

A. y squared minus y squared z minus 10 y z minus 5

B. y squared minus y squared z minus 5 y z minus 5

C. 7 y squared minus y squared z minus 10 y z minus 5

D. 7 y squared minus y squared z minus 2 y z minus 5

Given:

3y^2 - 6yz - 7 + 4y^2 - 4yz + 2 - y^2z

Collect like terms in the expression

3y^2 + 4y^2 - 6yz - 4yz - y^2z - 7 + 2

Simplify

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Rewritten as

7y^2 - y^2z - 10yz-5

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