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Alex787 [66]
3 years ago
11

Rita had Rs. 32000 per month. She spent 1/3 of her money on note books and 1/4 of the remainder on stationary items. How much mo

ney is left with her?
Mathematics
1 answer:
steposvetlana [31]3 years ago
8 0

Answer:

She has Rs 16,000 left with her

Step-by-step explanation:

In this question, we are concerned with calculating how much money is left with Rita after spending the fraction of her monthly income on the things given in the question.

Firstly, she spent 1/3 of this amount on books;

Amount spent on books is thus 32,000/3 = 10,666.67

she spent a quarter of the remainder on stationary items.

Amount spent on stationary items is 1/4 * (32,000 - 10,666.67)

= 1/4 * ( 21,333.33)

= 5,333.3325

The amount of money left with her is just simply calculated by subtracting the amount she has spent from the initial amount she had

Mathematically, that would be 32,000 - (10,666.67 + 5,333.325) = approximately Rs. 16,000

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Answer:

Pretty sure its the third option

Step-by-step explanation:

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Which of the following has a value CLOSEST to 0.5?
KengaRu [80]

9514 1404 393

Answer:

  D)  6.003 ÷ 12

Step-by-step explanation:

All of the quotients differ from 0.5 by at least one order of magnitude except ...

  6.003/12 = 0.50025

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The others are ...

  A: 0.301/60 = 0.0050166... (repeating)

  B: 0.051/10 = 0.0051

  C: 2.499/49 = 0.051

5 0
3 years ago
Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2
Savatey [412]
\bf \begin{cases}
f(x)=x^2+3\\\\
g(x)=x+\cfrac{4}{3}
\end{cases}
\\\\\\
\boxed{x=2}\qquad g(2)=(2)+\cfrac{4}{3}\implies \boxed{g(2)=\cfrac{10}{3}}
\\\\\\
f(~~g(x)~~)=[g(x)]^2+3\implies f(~~g(2)~~)=[g(2)]^2+3
\\\\\\
f(~~g(2)~~)=\left[ \boxed{\frac{10}{3}} \right]^2+3\implies f(~~g(2)~~)=\cfrac{10^2}{3^2}+3
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f(~~g(2)~~)=\cfrac{100}{9}+3\implies f(~~g(2)~~)=\cfrac{100+27}{9}
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7 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
A pail holds 6 3 4 gallons of water. How much is this in cups? Write your answer as a whole number or a mixed number in simplest
storchak [24]
I'm assuming the pail holds 6 3/4 (not 634) gallons of water.


1 gallon= 16 cups


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= 108 cups


ANSWER: There are 108 cups

Hope this helps! :)
3 0
3 years ago
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