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3 years ago

Bryron earned $85.45 selling 25 customized notebook sat a book fair. What was the cost of each customized book sold?

Mathematics

1 answer:

lozanna [386]3 years ago

6 0

Answer: $3.418 from each book

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Whitepunk [10]

Answer:

4x-12

Step-by-step explanation:

8 0

3 years ago

A storage box with a square base must have a volume of 90 cubic centimeters. the top and bottom cost $0.60 per square centimeter

Paul [167]

Answer-

For side length of 3.56 cm and height of 7.10 cm the cost will be minimum.

Solution-

Let us assume that,

x represents the length of the sides of the square base,

y represent the height.

Given the volume of the box is 90 cm³, so

$\Rightarrow V=90\\\\\Rightarrow x^2\times y=90\\\\\Rightarrow y=\dfrac{90}{x^2}$

As the top and bottom cost $0.60 per cm² and the sides cost $0.30 per cm². Total cost C will be,

$C=\text{cost for top and bottom}+\text{cost for rest 4 sides}\\\\=(2x^2\times 0.6)+(4xy\times 0.3)\\\\=(2x^2\times 0.6)+(4x\times \frac{90}{x^2}\times 0.3)\\\\=1.2x^2+ \dfrac{108}{x}$

Then,

$C'=\dfrac{d}{dx}(1.2x^2+ \dfrac{108}{x})=2.4x-\dfrac{108}\\\\C''=\dfrac{d^2}{dx^2}(1.2x^2+ \dfrac{108}{x})=2.4+\dfrac{216}{x^3}$

As C'' has all positive terms so, for every positive value of x (as length can't be negative), C'' is positive.

So, for minima C' = 0

$\Rightarrow 2.4x-\dfrac{108}{x^2}=0\\\\\Rightarrow 2.4x=\dfrac{108}{x^2}\\\\\Rightarrow x^3=\dfrac{108}{2.4}=45\\\\\Rightarrow x=3.56$

Then,

$y=\dfrac{90}{x^2}$

$y=\dfrac{90}{3.56^2}$

$y=7.10$

Therefore, for side length of 3.56 cm and height of 7.10 cm the cost will be minimum.

4 0

4 years ago

Read 2 more answers

Pls help asap!!! just need answers not work

dem82 [27]

Answer:

b= 5 $\sqrt{3}$ c = 10, x=7 hypotenuse = 7 $\sqrt{2}$

Step-by-step explanation:

A 30-60-90 triangle has the ratios of x-x $\sqrt{3}$ -2x so if x=5, then 5-5 $\sqrt{3}$ - 10

for a 45-45-90, if one leg is 7, so is the other x $\sqrt{2}$ so hypotenuse is 7 $\sqrt{2}$

4 0

3 years ago

Which property is used in the following expression ? (a x b) x c = a x (b x c)

Firlakuza [10]

A- Associative Property of Multiplication

4 0

3 years ago

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I don't know the answer

Kaylis [27]

Answer:

Step-by-step explanation:

A function is when the x value has ITS OWN Y VALUE, so the x value can't have more than one y value.

Can't be A, because 6 and 13 both have 10

Can't be B, because there are two x - values (6 and 6)

It can only be C, because each x-value has a different y-value

3 0

3 years ago

Read 2 more answers

Bryron earned $85.45 selling 25 customized notebook sat a book fair. What was the cost of each customized book sold?​

Bryron earned $85.45 selling 25 customized notebook sat a book fair. What was the cost of each customized book sold?