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PSYCHO15rus [73]
3 years ago
7

You can buy 20 fluid ounces of shampoo for $4.40 or 24 fluid ounces for $4.80. Which is the better buy? Explain.

Mathematics
2 answers:
Nadya [2.5K]3 years ago
8 0
Ok, so you put $4.40 over 20 ounces which will get you $ 0.22 per ounce
You do the same for the other one.

4.80 over 24 ounces which is $ 0.20 per ounce
So the better price would be 24 fluid ounces of shampoo for $ 4.80
lidiya [134]3 years ago
6 0
First you have to do 440 / 20, which is 22 cents per bottle
Next you have to do 480 / 24, which is 20 cents per bottle
20 < 22, so the 24 ounces of shampoo is the correct answer.
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Answer:

(if its a true or false question) True

Step-by-step explanation:

<u>We know-</u>

<u>Area of a circle = </u>

A=(π)r2

<u>Circumference of a circle = </u>

C=2(π)r

<u>Where pi is a constant and r is the radius of the circle.</u>

<u>Using these two formulas we can express A in terms of C as follows:</u>

<u />

c2=[2(π)r]2

⇒ c2=4[(π)2]r2 ⇒ c2=4(π)[(π)r2]

As (π)r2=A ⇒c2=4(π)A

<u>Therefore:</u>

A=c2/4(π)

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3 years ago
The proof that UX ≅ SV is shown. Given: △STU an equilateral triangle ∠TXU ≅ ∠TVS Prove: UX ≅ SV What is the missing statement in
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14. Given: 5x + 4y = 24, x + 7y= 11; Prove: y= 1<br> Statements<br> reasons
Semenov [28]

Answer:

Step-by-step explanation:

We can use the process of elimination as

5x + 4y = 24

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3 years ago
Math question
strojnjashka [21]

Answer:

The candle has a radius of 8 centimeters and 16 centimeters and uses an amount of approximately 1206.372 square centimeters.

Step-by-step explanation:

The volume (V), in cubic centimeters, and surface area (A_{s}), in square centimeters, formulas for the candle are described below:

V = \pi\cdot r^{2}\cdot h (1)

A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot r \cdot h (2)

Where:

r - Radius, in centimeters.

h - Height, in centimeters.

By (1) we have an expression of the height in terms of the volume and the radius of the candle:

h = \frac{V}{\pi\cdot r^{2}}

By substitution in (2) we get the following formula:

A_{s} = 2\pi \cdot r^{2} + 2\pi\cdot r\cdot \left(\frac{V}{\pi\cdot r^{2}} \right)

A_{s} = 2\pi \cdot r^{2} +\frac{2\cdot V}{r}

Then, we derive the formulas for the First and Second Derivative Tests:

First Derivative Test

4\pi\cdot r -\frac{2\cdot V}{r^{2}} = 0

4\pi\cdot r^{3} - 2\cdot V = 0

2\pi\cdot r^{3} = V

r = \sqrt[3]{\frac{V}{2\pi} }

There is just one result, since volume is a positive variable.

Second Derivative Test

A_{s}'' = 4\pi + \frac{4\cdot V}{r^{3}}

If \left(r = \sqrt[3]{\frac{V}{2\pi}}\right):

A_{s} = 4\pi + \frac{4\cdot V}{\frac{V}{2\pi} }

A_{s} = 12\pi (which means that the critical value leads to a minimum)

If we know that V = 3217\,cm^{3}, then the dimensions for the minimum amount of plastic are:

r = \sqrt[3]{\frac{V}{2\pi} }

r = \sqrt[3]{\frac{3217\,cm^{3}}{2\pi}}

r = 8\,cm

h = \frac{V}{\pi\cdot r^{2}}

h = \frac{3217\,cm^{3}}{\pi\cdot (8\,cm)^{2}}

h = 16\,cm

And the amount of plastic needed to cover the outside of the candle for packaging is:

A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot r \cdot h

A_{s} = 2\pi\cdot (8\,cm)^{2} + 2\pi\cdot (8\,cm)\cdot (16\,cm)

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3 0
3 years ago
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andrey2020 [161]

Answer: a = 2168 miles

b= $3360.40

Hope this helps!

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