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PIT_PIT [208]
3 years ago
13

If “x” represents the full price of an item, write an expression to represent the final cost of an item that is 20% off.

Mathematics
1 answer:
zloy xaker [14]3 years ago
3 0
The expression is x -20%
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En el estante de un negocio hay 2 tipos de tarros de la misma mermelada y marca. El tarro más alto tiene el doble de altura que
Ipatiy [6.2K]

Answer:

tarro corto

Step-by-step explanation:

Aquí tenemos que comprar el frasco que tiene el menor costo por volumen.

h_1 = Altura del frasco corto

h_2 = La altura del frasco alto es el doble que el del frasco corto. = 2h_1

d_1 = Diámetro del frasco corto

d_2 = El diámetro del frasco alto es la mitad del frasco corto = \dfrac{1}{2}d_1

El volumen de un cilindro es \pi \dfrac{d^2}{4}h

La razón de los volúmenes de los frascos es

\dfrac{V_1}{V_2}=\dfrac{\pi\dfrac{d_1^2}{4}h_1}{\pi\dfrac{d_2^2}{4}h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{d_2^2h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{(\dfrac{1}{2}d_1)^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{\dfrac{1}{4}d_1^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{1}{\dfrac{1}{2}}\\\Rightarrow \dfrac{V_1}{V_2}=2\\\Rightarrow V_1=2V_2

El costo del frasco corto por unidad de volumen es

\dfrac{8000}{V_1}=\dfrac{8000}{2V_2}=\dfrac{4000}{V_2}

El costo del frasco alto por unidad de volumen es

\dfrac{4500}{V_2}=\dfrac{4500}{V_2}

\dfrac{4000}{V_2}

Entonces, el costo del frasco corto por unidad de volumen es menor que el costo por unidad de volumen del frasco alto.

Por lo tanto, deberíamos tomar el frasco corto.

5 0
2 years ago
Can someone help me pls pls help with this question
True [87]

Answer:

D.

Step-by-step explanation:

The mean is 11,000

8 0
2 years ago
What ordered pair is a solution to y = x + 5 and x - 5y = -9?<br> I also need to show the work.
Margarita [4]

Answer:

(- 4, 1 )

Step-by-step explanation:

Given the 2 equations

y = x + 5 → (1)

x - 5y = - 9 → (2)

Substitute y = x + 5 into (2)

x - 5(x + 5) = - 9 ← distribute and simplify left side

x - 5x - 25 = - 9

- 4x - 25 = - 9 ( add 25 to both sides )

- 4x = 16 ( divide both sides by - 4 )

x = - 4

Substitute x = - 4 into either of the 2 equations and evaluate for y

Substituting into (1)

y = - 4 + 5 = 1

Solution is (- 4, 1 )

3 0
2 years ago
5x+3(3x−43)=............
Anvisha [2.4K]
14x - 129 (I think I’m so sorry if it’s wrong)
6 0
3 years ago
Read 2 more answers
What are the coordinates of the center of the ellipse shown below?
photoshop1234 [79]

Answer:

Option D (7, -3)

Step-by-step explanation:

We know that the general equation of an ellipse has the form:

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1

Where the point (h, k) are the coordinates of the center of the ellipse

In this case the equation of the ellipse is:

\frac{(x-7)^2}{4} + \frac{(y+3)^2}{16} = 1

Then

h=7\\\\k = -3

So The coordinates of the center of the ellipse are (7, -3)

8 0
3 years ago
Read 2 more answers
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