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Vladimir [108]
3 years ago
12

Water and oil are mixed in the ratio 3:5. Find the density of the mixture if the density of water is 1g/cm ^3 and that of oil is

0.8g/cm^3
Mathematics
1 answer:
kompoz [17]3 years ago
8 0

Answer:

Density of mixture is 7.0 g/cm^{3}.

Step-by-step explanation:

Density of mixture = density of water in the mixture + density of oil in the mixture

Given: water and oil were mixed in a ratio 3:5

           density of water is 1.0 g/cm^{3} and that of oil is 0.8 g/cm^{3}.

Then,

density of water in the mixture = 3 x 1.0 g/cm^{3}

                                   = 3.0 g/cm^{3}

Density of the volume of water in the mixture is 3.0 g/cm^{3}.

density of oil in the mixture = 5 x 0.8 g/cm^{3}

                                              = 4.0 g/cm^{3}

Density of oil in the mixture is 3.0  g/cm^{3}.

So that,

Density of mixture = 3.0 + 4.0

                               = 7.0

Density of mixture is 7.0 g/cm^{3}.

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a cone has a radius of 6cm and height 9 calculate a)the volume and curved surface area b) total surface area
Orlov [11]

Answer:

V = 339.3 cm³; L = 203.9 cm²; A = 317.0 cm²  

Step-by-step explanation:

a) Volume

The formula for the volume (V) of a cone is

V = ⅓πr²h

V = ⅓π × 6² × 9

V = ⅓π × 36 × 9

V = 108π cm³

V ≈ 339.3 cm³

=====

Curved surface area  

The formula for the lateral surface area (L) of a cone is

L = πr√(r² + h²)

L = π×6√(36 + 81)

L = 6π√[9(4 + 9)]

L = 6π√(9 × 13)

L = 18π√13 cm²

L ≈ 203.9 cm²

===============

b) Base surface area

The base is a circle, so the formula for base surface area (B) is

B = πr²

B = π×6²

B = 36π cm²

B ≈ 113.1 cm²

=====

Total surface area

A = L + B

A = 18π√(13 +36π)

A = 18π(2 + √13) cm²

A ≈ 203.9 + 113.1

A ≈ 317.0 cm²

3 0
3 years ago
An airplane on auto pilot took 5 hours to travel 3,475 kilometers. What is the unit rate for kilometers per hour?
ExtremeBDS [4]
695 kilometers per hour
6 0
3 years ago
Kami bought 3 1/2 pounds of nectarines for $1.75 and 1 3/5 pounds of oranges for $0.60. Which fruit costs less per pound?
erastovalidia [21]
Nectarines would be the correct answer
6 0
4 years ago
A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang
laiz [17]

<u>Answer-</u>

a. Probability that  three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

<u>Solution-</u>

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

\binom{19}{3} = \frac{19!}{3!16!} = 969

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

\binom{33}{6} = \frac{33!}{6!27!} =1107568

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

\binom{52}{9} = \frac{52!}{9!43!} = 3679075400

∴P(3 white candies) = \frac{1073233392}{3679075400} =0.29



Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}

=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})

=(969)(45)(7)(5)(15)=22892625

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

\binom{52}{9}=\frac{52!}{9!43!} =3679075400

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

\frac{22892625}{3679075400} = 0.006


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4 years ago
Tony’s Pizzeria customers were asked what kind of pizza topping they prefer. Tony learned that 20 customers selected pepperoni,
tigry1 [53]

Answer:

think one

Step-by-step explanation:

DO IT USING THINK ONE

5 0
3 years ago
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