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Serhud [2]
2 years ago
13

a sphere of radius 5 cm is melted down and made into a solid cube. Find the length of a side of the cube.​

Mathematics
1 answer:
Amanda [17]2 years ago
5 0

Answer:

the volume of sphere will be equal to that of the volume of cube as change in shape doesn't effect the volume.

using,

Volume of sphere = volume of cube.

= a^3

Step-by-step explanation:

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The 8x10 and 2.5x3.25 are closest in ratio.
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gasoline was $3.759 per gallon 1 week and 3.879 per gallon by next week how much did the price change ​
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.12 cent

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Lacey picks blueberries and raspberries from her garden. She has ⅕ as many pounds of blueberries as raspberries. If she picks 1⅘
Mrac [35]

Answer:

  • 2 1/4 pounds of blueberries

Step-by-step explanation:

Blueberries - b, raspberries - x

<u>Equations as per question:</u>

  • b = x * 1/5
  • b + 1 4/5 = x

<u>Eliminate b and solve for x:</u>

  • 1/5x = x - 1 4/5
  • x - 1/5x = 1 4/5
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A group of people went to a coffee shop.
Zielflug [23.3K]

Answer:

Fraction of the people chose a tart = \frac{13}{45}

Step-by-step explanation:

Given - A group of people went to a coffee shop. Each person chose a

            drink  and a treat. number of people who chose coffee: number of  

            people who chose tea = 1:4. Of those who chose coffee,  number of  

            people who chose a muffin number of people who chose a tart =    

            2:7. Of  those who chose tea,  number of people who chose a muffin  

            : number of people who chose a tart = 5:1.

To find - What fraction of the people chose a tart?

Proof -

Let the Total number of People went to a coffee shop = 5x

Now,

As given, number of people who chose coffee: number of people who chose tea = 1:4

⇒Total number of people who chooses coffee = \frac{1}{5}.5x = x

  Total number of people who chooses tea  = \frac{4}{5}.5x = 4x

Now,

As given,

Of those who choose coffee,  number of people who chose a muffin number of people who chose a tart = 2:7

⇒Total number of people who choose muffin after coffee = \frac{2}{9}x

   Total number of people who choose tart after coffee = \frac{7}{9}x

Also,

Given that

Of those who chose tea,  number of people who chose a muffin : number of people who chose a tart = 5:1

⇒Total number of people who choose muffin after tea = \frac{5}{6}.4x = \frac{20}{6}x

   Total number of people who choose tart after tea = \frac{1}{6}.4x = \frac{4}{6}x

∴ we get

Total number of people who chooses tart = Total number of people who choose tart after coffee + Total number of people who choose tart after tea

⇒Total number of people who chooses tart = \frac{7}{9}x + \frac{4}{6}x

                                                                         = \frac{7}{9}x + \frac{2}{3}x

                                                                         = \frac{7x + 6x}{9}

                                                                         = \frac{13}{9}x

⇒Total number of people who chooses tart = \frac{13}{9}x

Now,

Fraction of the people chose a tart = \frac{People choose tart}{Total people}

                                                           = \frac{\frac{13}{9}x }{5x}

                                                           = \frac{13}{45}

⇒Fraction of the people chose a tart = \frac{13}{45}

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