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Mademuasel [1]
3 years ago
10

Miley’s music has a sale on music CDs. All music CDs are discounted 15%. Mariana’s receipt indicates that she saved $3 on her CD

purchase. What is the full price of her music CD before the discount?
Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0

she saved $3, and we know the discount is 15%, so her savings is that 15%, thus we know 15% of that purchase is 3.


let's say the full price is x, and therefore the 100%, if we know 3 is the 15%, what is x?


\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 3&15\\ x&100 \end{array}\implies \cfrac{3}{x}=\cfrac{15}{100}\implies \cfrac{3\cdot 100}{15}=x\implies 20=x

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The angle of depression from the top of a lighthouse to a boat is 27*. if the direct distance from the top of lighthouse to the
alisha [4.7K]

Answer:

Correct answer:  Db = 411 .18 ft

Step-by-step explanation:

Given:

α = 27°  angle of depression

Dt = 462 ft  distance from the top of lighthouse to the boat

Db = ?   distance from the base of the lighthouse to the boat

Here we have a right triangle with hypotenuse Dt and one leg Db.

By definition

cos α = Db / Dt  ⇒ Db = Dt · cos α

Db = 462 · cos 27° = 462 · 0.89 = 411 .18 ft

Db = 411 .18 ft

God is with you!!!

5 0
3 years ago
Simplify the expression –8(12).<br> A. 96<br> B. 20<br> C. 2<br> D. –96
Tanzania [10]
-96 is ur answer!!!!
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Expand $\left(x^2 \frac{1}{x}\right)^3$. (Write the terms with higher degree first, so for example an $x^2$ term would come befo
Ilya [14]

Answer:

x^6+3x^3+3+\dfrac{1}{x^3}

Step-by-step explanation:

We can use the pascal triangle to find the coefficients of the expasion of the cube. It holds that

(x^2 + \dfrac{1}{x})^3=(x^2)^3+3(x^2)^2\dfrac{1}{x}+3x^2(\dfrac{1}{x})^2+(\dfrac{1}{x})^3\\\\=x^6+3x^4\dfrac{1}{x}+3x^2\dfrac{1}{x^2}+\dfrac{1}{x^3}\\\\=x^6+3x^3+3+\dfrac{1}{x^3}

4 0
4 years ago
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jeka57 [31]

Answer:

  1. 13x² - 19x + 23
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Step-by-step explanation:

1 . (4x² - 9x + 16) + (7 + 9x² - 10x)

4x² - 9x + 16 + 7 + 9x² - 10x

13x² - 19x + 23

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3 years ago
A gun mass of 5 kg fired a bullet of mass 10 g with the velocity of 360 km/h. What
klemol [59]

Answer:

The recoil velocity of the gun is 0.72\,\,\frac{km}{h}  and is pointing in opposite direction to the velocity of the bullet.

Step-by-step explanation:

Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).

We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg

In mathematical terms, we have:

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