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KIM [24]
2 years ago
13

Carrie usa 6 limones para hacer 24 onzas líquidas de limonada. Carrie está planeando una gran fiesta y necesita hacer 288 onzas

líquidas de limonada. ¿Cuántos limones necesitará usar para mantener la receta proporcional?
Mathematics
1 answer:
lord [1]2 years ago
6 0

Answer:

72 lemons

Step-by-step explanation:

Carrie uses 6 lemons to make 24 fluid ounces of lemonade. Carrie is planning a big party and needs to make 288 fluid ounces of lemonade. How many lemons will she need to use to keep the recipe proportional?

Hence:.

24 fluid ounces = 6 lemons

288 fluid ounces = x lemons

24 x = 288 × 6

x = 288 × 6/24

x = 72 lemons

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Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.
valentina_108 [34]

Answer:

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with f^{-1}(x)

Given that:

I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = a^{-1}(x) = a(x)  Hence, I is true.

II. y =\dfrac{1}{x}

Replacing y with and x with y:

x =\dfrac{1}{y}

x=\dfrac{1}{a^{-1}(x)}

\Rightarrow a^{-1}(x) = \dfrac{1}{x}

a^{-1}(x) = a(x)  Hence, II is true.

III. y =x^{2}

Replacing y with and x with y:

x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)

 Hence, III is not true.

IV. y =x^{3}

Replacing y with and x with y:

x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)

Hence, IV is not true.

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

4 0
3 years ago
Use the net to find the surface area of the cylinder. 6ft and 7ft
earnstyle [38]

Answer:

A. 84 pi feet^2

Step-by-step explanation:

So the lateral area is the rectangular piece on the net

In order for it to be an actual cylinder the 2 circles are congruent

Therefore the radi, area, circumference ect.. are the same.

So the only missing measurement we need to find the lateral area is the length of the rectangular piece

If you visualize a cylinder, the rectangular piece goes around the perimeter/circumference of the circle

So that means that the length of the rectangle is the circumference of the circle

Circumference = 2*pi*r

2 * pi * 6

= 12 pi

Then 7*12 pi

=84 pi

So the lateral area is 84 pi

:0

8 0
3 years ago
The data points represent the number of swimmers at
Ronch [10]

Answer:

44 swimmers

Step-by-step explanation:

4 0
3 years ago
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Find the length of the unknown side. Round your<br> answer to the nearest tenth.
Oliga [24]

Answer:

20

Step-by-step explanation:

25^2=15^2+x^2. x=20

3 0
3 years ago
A stocks value decreased the same amount each day for 4 days. If the total change in value was -2.5 what was the change each day
KIM [24]

Answer:

-0.625

Step-by-step explanation:

4 0
2 years ago
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