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3 years ago

Find x ÷ y, if x = 3 5/8 and y = 3 3/4 . Express your answer in simplest form.

Mathematics

1 answer:

svetoff [14.1K]3 years ago

8 0

$\dfrac{3\frac{5}{8}}{3\frac{3}{4}}=\dfrac{(\frac{29}{8})}{(\frac{15}{4})}=\dfrac{29}{8}\dfrac{4}{15}\\\\=\dfrac{29}{30}$

x ÷ y = 29/30

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Why is ti that when you add two numbers together (5+5,6+6,3+3, etc.) you get an even sum?? I need this for my 8 year-old-brother

astra-53 [7]

Essentially, the rule goes as so: odd + odd = even, even + even = even.

Although that may not be the answer you're looking for, it is a math rule that is never debunked and essentially the premises for why you get an even sum practically always depending on the numbers.

Hope this helps!

3 0

3 years ago

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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

How many times can 27 go into 192

lutik1710 [3]

It can go into 192 7.1 times

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3 years ago

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Which of the following is not a solution for the inequality 3x +2 < 12?

Advocard [28]

$3x+2 < 12\ \ \ \ |-2\\\\3x < 10\ \ \ \ |:3\\\\x < \dfrac{10}{3}\\\\x < 3\dfrac{1}{3}\\\\x=2 < 3\dfrac{1}{3}\\\\x=2.5 < 3\dfrac{1}{3}\\\\x=3 < 3\dfrac{1}{3}\\\\x=3.5-Answer$

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3 years ago

The temperature in a greenhouse should be 66 degrees or higher. One morning, the heater stopped working. The temperature droppe

erastova [34]

Answer:

The temperature in the greenhouse was at least 68 degrees before the heater stopped working.

Step-by-step explanation:

It was at 68 then it dropped by 2 degrees.

8 0

3 years ago