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Minchanka [31]
3 years ago
5

What is the algebraic expression for the following word phrase: the quotient of 8 and the sum of 3 and m?

Mathematics
2 answers:
serg [7]3 years ago
5 0

we know that

the algebraic expression is equal to

\frac{8}{(3+m)}

therefore

<u>the answer is</u>

\frac{8}{(3+m)}


Oksi-84 [34.3K]3 years ago
5 0

Answer:

\frac{8}{3+m}

Step-by-step explanation:

To find the algebraic expression for the following words:

the quotient of 8 and the sum of 3 and m

"\text{Sum of 3 and m}" translated to 3 + m

"\text{quotient of 8 and the sum of 3 and m}" translated to \frac{8}{3+m}

Then;

the following word phrase becomes:

\frac{8}{3+m}

Therefore, the the algebraic expression for the following  given word phrase is, \frac{8}{3+m}

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Answer:

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Step-by-step explanation:

The sum of torques about the pivot point is zero when the system is in equilibrium. That means the total of clockwise torques is equal to the total of counterclockwise torques. For this purpose, torque can be modeled by the product of mass and its distance from the pivot. The uniform beam can be modeled as a point mass at its center.

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a) Let E represent the location of the center of mass of the beam. So, AE = 1.5 m. Then the distance from C to E is AC-AE = AC -1.5 and the CCW torque due to the beam's mass is (16 kg)(AC -1.5 m).

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b) The torques in this scenario are ...

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  M = 41.3 kg . . . . rounded to 1 dp

_____

<em>Additional comment</em>

Torque is actually the product of force and distance from the pivot. Here, the forces are all downward, and due to the acceleration of gravity. The gravitational constant multiplies each mass, so there is no harm in dividing the equation by that constant, leaving the sum of products of mass and distance.

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