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Gnom [1K]
2 years ago
12

A university employs a total of 560 teaching assistants and research assistants. There are three times as many teaching

Mathematics
1 answer:
Scrat [10]2 years ago
8 0

Answer:

170

Step-by-step explanation:

There are three times as many teaching assistants as research assistants. Find the number of research assistants employed by the university. Hence the number of research assistants is 170.

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(3x-1)+31+90=180<br> Find x
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<h2> SOLVE FOR X</h2>

ANSWER:

<h3> x = 20</h3>

  • <u>Add −1 and 31 to get 30.</u>

\large\color{orange}{ \tt{3x+30+90=180}}

  • <u>Add 30 and 90 to get 120.</u>

\large\color{orange}{ \tt{3x+120=180}}

  • <u>Subtract 120 from both sides.</u>

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  • <u>Subtract 120 from 180 to get 60.</u>

\large\color{orange}{ \tt{3x=60}}

  • <u>Divide both sides by 3.</u>

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  • <u>Divide 60 by 3 to get 20.</u>

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A small grain silo is filled with wheat at the end of each season. If the silo is only half full, how many cubic meters of wheat
Nonamiya [84]

Answer:

Volume of wheat = 147.26 m³ (check the explanation)

Step-by-step explanation:

The question still lacks some details such as the size of the silo. We will go forward by assuming the size of the silo to aid our calculation. Silos are cylindrical storage structures that range from 3 - 27 m in diameter and 10 - 90 m in height. For the purpose of this question, let's assume that the size of the silo is 5 m (diameter) by 15 m (height).

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diameter (D) = 5 m; r = D ÷ 2 ⇒ r = 5/2 = 2.5 m,

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Volume of silo = πr²h = π * 2.5² * 15

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The silo is half full ⇒ ½ * V

Volume of wheat stored is given by half of the silo volume, since the silo is half-full

V (wheat) = ½ * 298.52

V (wheat) = <u>147.26</u> m³

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