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hichkok12 [17]
2 years ago
13

If you add 21 to my number and then multiply the result by 3, you will get 84 more than two-thirds of my number. Find my number.

Mathematics
1 answer:
Ksivusya [100]2 years ago
5 0

Based on the calculations, the unknown number is equal to \frac{-45}{7}

  • Let the unknown number be x.

<h3>How to find an unknown number:</h3>

Translate the word problem into an algebraic expression, we have;

Adding 21 to the unknown number:

21 +x

Multiplying the result by 3:

3\times (21+x)

84 more than two-thirds of the unknown number:

\frac{2x}{3} +84

Equating the equations, we have:

3\times (21+x) = \frac{2x}{3} +84\\\\43+3x=\frac{2x}{3} +84

Cross-multiplying, we have:

43+3x=\frac{2x}{3} +84\\\\129+9x=2x+84\\\\9x-2x=84-129\\\\7x=-45\\\\x=\frac{-45}{7}

Read more on word problems here: brainly.com/question/13170908

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Answer:

2577.8\text{ cm}^3

Step-by-step explanation:

GIVEN: A right circular cone that has a height of 11.1 cm and a base with a diameter of 17.2 cm.

TO FIND: Volume of cone.

SOLUTION:

radius of cone =\frac{\text{diameter}}{2}=\frac{17.2}{2}=8.6\text{ cm}

height of cone =11.1\text{ cm}

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putting values we get

Volume of cone =\frac{1}{3}\times3.14\times8.6\times8.6\times11.1

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Hence the volume of cone is 2577.8\text{ cm}^3

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What is the total length of nine pieces of chain each measuring 13 yards, 1 foot, 5 inches? Convert the answer to larger units w
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Explanation:

Since we have given that

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On Converting it into larger units, we get 13.472 yards

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13.472\times 9=121.248\ yards

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