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3 years ago

Write an equivalent equation that does not contain fractions 2/3 x + 9 equals 3/4

Mathematics

1 answer:

AlekseyPX3 years ago

6 0

Answer:

8x + 108 = 9

Step-by-step explanation:

Given

$\frac{2}{3}$ x + 9 = $\frac{3}{4}$

Multiply through by the lowest common multiple of 3 and 4, that is 12 to clear the fractions.

8x + 108 = 9 ← equivalent equation with no fractions

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The volume of a sphere can be described by the following formula, where V = volume and r = radius of the sphere.

Anika [276]

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Step-by-step explanation:

Given formula for volume of a sphere is:

$V = \frac{4}{3}\pi r^3$

We have to make r the subject of the formula

Multiplying equation by 3/4

$\frac{3}{4}V = \frac{4}{3} * \frac{3}{4} \pi r^3\\\frac{3}{4}V = \pi r^3$

Dividing both sides by pi

$\frac{3}{4\pi}V =\frac{ \pi r^3}{\pi}\\\frac{3V}{4\pi} = r^3$

Taking cube root on both sides

$\sqrt[3]{\frac{3V}{4\pi} } = \sqrt[3]{r^3} \\ r = \sqrt[3]{\frac{3V}{4\pi} }$

Hence,

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Keywords: Volume, Sphere

Learn more about volume at:

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3 years ago

A snail traveled 150 feet per hour. How far would he travel in 45 minutes?

Nuetrik [128]

Answer:

112.5 which is 113

Step-by-step explanation:

150 divided by 60= 2.5

2.5 times 45=112.5

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3 years ago

Eggs are sold in boxes. A small box holds 6 eggs.A large box holds 12 eggs.Hina buys x small boxes of eggs.Hina also buys 4 less

yuradex [85]

Answer:

a) 12x - 48 or 6(2x - 8)

b) 18x - 48 or 6(3x - 8)

Step-by-step explanation:

A small box holds 6 eggs

A large box holds 12 eggs.

Hina buys x small box of eggs

Hina also buys (x-4) large box of eggs

a) Total number of eggs in the large box by Hina = (x-4)12

= 12x - 48

= 6(2x - 8)

b) Total number of eggs bought by Hina = (x) 6 + (x-4)12

= 6x + 12x - 48

= 18x - 48

= 6(3x - 8)

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3 years ago

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JulsSmile [24]

Answer:

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3 years ago

Read 2 more answers

In your BIO 111 course, you learn that human hair can vary in diameter, but one estimate of the average diameter is 50 microns o

Dafna11 [192]

Answer:

5000 particles of size 10 nanometer should be stacked

Step-by-step explanation:

Average diameter of the of the human hair = 50 micron = 50 × 10⁻⁶ m

Now,

let the number of 10 nanometer i.e 10 × 10⁻⁹ m particle be 'n'

thus,

n × 10 × 10⁻⁹ m = 50 × 10⁻⁶ m

Therefore to find the number of 10 nanometer i.e 10 × 10⁻⁹ m particle,

n = $\frac{50\times10^{-6}}{10\times10^{-9}}$

n = 5000

Hence,

5000 particles of size 10 nanometer should be stacked

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3 years ago