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3 years ago

12

Please help math is hard!

2 answers:

CaHeK987 [17]3 years ago

8 0

Answer: The answer is 306

Step-by-step explanation: Given that a baker mixes pounds of sugar for every pound of butter to begin making frosting. The baker uses 357 pounds of butter and sugar to start the frosting.

Anna71 [15]3 years ago

5 0

9514 1404 393

Answer:

(a) 306 pounds

Step-by-step explanation:

The ratio of sugar to the total is ...

sugar : (sugar + butter) = (2 1/4) : (2 1/4 + 3/8)

= (18/8) : (18/8 +3/8) = 18 : 21 = 6 : 7

Then the amount of sugar in the baker's initial is ...

(6/7) × 357 = 306 . . . . pounds

__

<em>Additional comment</em>

If you realize that 2 1/4 is much more than 3/8, then you realize most of the mix is sugar. Of the answer choices, the only one that is most of 357 pounds is the first one: 306 pounds. That is the correct choice. In other words, your sense of the quantities involved is sufficient to answer the question, without any math.

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Mice21 [21]

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$12 \leqslant x < 26$

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3 years ago

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.

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Answer:

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Step-by-step explanation:

6 is the number that stands out the most therefore it is an outlier!

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