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Leviafan [203]
3 years ago
12

Jeramy took 6 hours to read 222 pages of his book. What is Jeramy’s reading speed

Mathematics
2 answers:
hodyreva [135]3 years ago
6 0

Answer:

37 pages/hour

Step-by-step explanation:

To find the reading speed, we take the pages read and divide by the time it took.

222 pages/ 6 hours

37 pages/hour

DedPeter [7]3 years ago
4 0

Answer:

37 pages/hour

Step-by-step explanation:

This is a unit rate problem.

You are trying to find the number of pages per hour.

Divide the number of pages by  the number of hours.

222 pages in 6 hours

(222 pages) / (6 hours) = 37 pages/hour

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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
True or false<br> 2+(-2) is equal to zero.
Savatey [412]

Answer:

It is TRUE.

Other:

Brainliest? Thanks!

7 0
3 years ago
What is the slope of the line whose equation is 2x−4y=10 ? Enter your answer in the box. NEED HELP ASAP PLEASE WILL GIVE BRAINLI
stich3 [128]

Answer:

The slope of the line is 1/2.

Step-by-step explanation:

2 x − 4 y = 10 (Subtract  2 x from both sides.)

− 4 y = − 2 x + 10 (Divide both sides by -4.)

y = − 2 x − 4 + 10 − 4  (Simplify.)

y = 1/2 x − 5 /2

y=1/2


4 0
3 years ago
Read 2 more answers
What is point-slope form? When can you use point-slope form? How is it useful?
arsen [322]
After solving an equation in Point Slope Form, you're directly given the slope intercept form which is y=mx +b
5 0
3 years ago
Juanita sells homemade jam at the farmers' market. She sold 35 jars during the first hour and 85 jars during the second hour. Wr
mars1129 [50]
X=total of jars
n=jars leftover

x - (35+85) = n
4 0
3 years ago
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