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2 years ago

Help me fast I need please

Mathematics

1 answer:

ale4655 [162]2 years ago

4 0

Answer:

2/9

Step-by-step explanation:

Since there are 18 total eggs (cracked, white, brown) we can say that the denominator will be 18.

There are 8 white eggs, and when half of those are cracked there will be 4 uncracked and 4 cracked, so 4/18.

Simplify 4/18 to 2/9 and there is your answer.

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A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the

Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= $\pi r^2h$

According to the problem,

$\pi r^2 h=25$

$\Rightarrow h=\frac{25}{\pi r^2}$

The surface area of the base of the can is = $\pi r^2$

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× $\pi r^2$ )

The lateral surface area of the can is = $2\pi rh$

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× $2\pi rh$ )

$=\$2.5 \pi r h$

Total cost of metal is C= 2.00 $\pi r^2$ + $2.5 \pi r h$

Putting $h=\frac{25}{\pi r^2}$

$\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}$

$\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}$

Differentiating with respect to r

$C'=4\pi r- \frac{62.5}{ r^2}$

Again differentiating with respect to r

$C''=4\pi + \frac{125}{ r^3}$

To find the minimize cost, we set C'=0

$4\pi r- \frac{62.5}{ r^2}=0$

$\Rightarrow 4\pi r=\frac{62.5}{ r^2}$

$\Rightarrow r^3=\frac{62.5}{ 4\pi}$

⇒r=1.71

Now,

$\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0$

When r=1.71 cm, the metal cost will be minimum.

Therefore,

$h=\frac{25}{\pi\times 1.71^2}$

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0

3 years ago

A cell phone company has a basic monthly plan of $40 plus $0.45 for any minutes used over 700. Before receiving his statement, J

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Ok so we know he used over 700 because he was charged more than 40. Then we take the $8.10 and divide 0.45 into it. This then gives you 18 more minutes. Then add 18 to 700 and you get 718 min.

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3 years ago

Random groups of 30 teachers were asked the starting annual salary for their

Ilya [14]

Answer:

Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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Alexandro received two quotes for new carpet for his home. The quote from Home Depot is $0.20 less per square foot than the quot

RSB [31]

Answer:

Total cost as per Lowe's is $260 more than that of Home Depot.

Step-by-step explanation:

Given that:

Alexandro received two quotes for new carpet.

One from Home Depot and other from Lowe's.

Let quote from Home Depot = $\$x$ per sq foot

As per question statement,

The quote from Lowe's = $\$x$ +0.20 per sq foot

Alexandro plans to buy 1,300 square feet of carpet.

Total Cost as per Home Depot's quote = $\$1300x$

Total Cost as per Lowe's = $\$(x+0.20)\times 1300 = \$1300x + \$260$

Now taking the difference of the total cost:

Lowe's total cost - Total cost as per Home Depot.

$\$1300x+\$260 - \$1300x \\\Rightarrow \$260$

So, the answer is:

Total cost as per Lowe's is <em>$260 more</em> than that of Home Depot.

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2 years ago