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Vilka [71]
2 years ago
7

Sponges are sold for 20 dollars. How many sponges per dollar.

Mathematics
1 answer:
Natasha2012 [34]2 years ago
5 0

Answer:

$1 or $1.25

Step-by-step explanation:

Not sure. Maybe

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Each side of the triangles is 8 cm
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Find the perimeter of the shape in terms of X<br><br> Please help me
swat32

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10x + 21

Step-by-step explanation:

5x + 2x-9 + 3x + 30 = 10x + 21

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Help!!!which of the following best describes the algebraic expression 10x+2
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I believe the correct answer is C) Ten times the quantity of a number plus two. Hope this helps! =)
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Read 2 more answers
Walt's Marina generated the following regression based on the number and cost of daily rentals of its boat slips to boat owners
Lana71 [14]

Answer:

The answer is "Option A and Option B"

Step-by-step explanation:

In question 1:

The fixed cost=2621.21  

The unit variable cost=35.58  

Calculating the total cost for 45 boat slips:

=2621.21+(45 \times 35.58)\\\\=2621.21+(1601.1)\\\\=4222.31 \approx 4222

In question 2:

It is the pure fixed costs that remain consistent in total regardless of dynamic loads. An overall cost B both for 1000 and 2000 unit is unchanged, therefore the Cost B is a fixed sum.

5 0
3 years ago
An icicle with a diameter of 15.5 centimeters at the top, tapers down in the shape of a cone with a length of
Helga [31]

Answer:

Step-by-step explanation:

Note: I will leave the answers as fraction and in terms of pi unless the question states rounding conditions to ensure maximum precision.

From the question, we can tell it is a inversed-cone (upside down)

Volume of Cone = \pi r^{2} \frac{h}{3}

a) Given Diameter , d = 15.5cm and Length , h = 350cm,

we first find the radius.

r = \frac{d}{2} \\=\frac{15.5}{2} \\=7.75cm

We will now find the volume of the cone.

Volume of cone  \pi (7.75)^{2} \frac{350}{3} \\= \frac{168175\pi }{24}

We know the density of ice is 0.93 grams per 1cm^{3}

1cm^{3} =0.93g\\\frac{168175\pi }{24}  cm^{3} =0.93(\frac{168175\pi }{24} )\\= 20473 g(Nearest Gram)

b) After 1 hour, we know that the new radius = 7.75cm - 0.35cm = 7.4cm

and the new length, h = 350cm - 15cm = 335cm

Now we will find the volume of this newly-shaped cone.

Volume of cone = \pi (7.4)^{2} \frac{335}{3} \\= \frac{91723\pi }{15} cm^{3}

Volume of cone being melted = New Volume - Original volume

= \frac{168175\pi }{24} -\frac{91723\pi }{15} \\= \frac{35697\pi }{40} cm^{3}

c) Lets take the bucket as a round cylinder.

Given radius of bucket, r = 12.5cm (Half of Diameter) and h , height = 30cm.

Volume of cylinder = \pi r^{2} h\\=\pi (12.5)^{2} (30)\\=\frac{9375\pi }{2} cm^{3}

To overflow the bucket, the volume of ice melted must be more than the bucket volume.

Volume of ice melted after 5 hours = 5(\frac{35697\pi }{40} )\\=\frac{35697\pi }{8} cm^{3}

See, from here of course you are unable to tell whether the bucket will overflow as all are in fractions, but fret not, we can just find the difference.

Volume of bucket - Volume of ice melted after 5 hours

= \frac{9375\pi }{2} -\frac{35697\pi }{8 } \\=\frac{1803\pi }{8}cm^{3}

from we can see the bucket can still hold more melted ice even after 5 hours therefore it will not overflow.

4 0
2 years ago
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