I need to know what will be the answer for this function

Ethan has 3/4 of a box of cereal. He gives 1/8 of the box to his little brother and Ethan eats 1/4 of the box, himself. What fra

riadik2000 [5.3K]

Answer:

<em>3/8 of the box cereal</em>

Step-by-step explanation: First you must convert 3/4, 1/8, and 1/4 so they have to same denominator. Four can go into eight two times, so you must multiply the numerator by two. So your new fractions are 6/8, 1/8, and 2/8. Now you must subtract 1/8 and 2/8 from 6/8. When you subtract 1/8 from 6/8 you get 5/8. Now subtract 2/8 from 5/8 and you get <em>3/8. </em>That is how you get the answer, I hope this helps you.

5 0

3 years ago

The question is what is 4p - 9

OlgaM077 [116]

Answer:

4xp-9

Step-by-step explanation:

4 0

2 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

If the perimeter of the top of desk is 54 inches the length of the desk is

allsm [11]

Formula: $2width+2length=perimeter$

$length=15inches$

$width=?$

$Perimeter=54inches$

$2*15=30$ (There are two sides for the length)

$54-30=24$

$24/2=12$ (There are two sides for the width)

The width of the desk is 15 inches

----
-Geekhawk

4 0

3 years ago

Simplify the following expression. −3√84x3

prisoha [69]

Answer:

-18root7

Step-by-step explanation:

-3root 84*3

-3root4*7*3*3

-3(2*3)root7

-18root7

8 0

4 years ago