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3 years ago

Total number of faculty is 136. There are 6 professors to every 11 lecturers. How many professors are there

Mathematics

1 answer:

laila [671]3 years ago

3 0

Answer:

The Total number of Professors = 48

Step-by-step explanation:

Given as,

The total number of Faculty = 136

And the Ratio of Professors to Lecturers = 6 Ratio 11

Now According to question

Professors : Lecturers = 6 : 11

So, Let the Number of Professors = 6x

And The Number of Lecturers = 11x

∴ 6x + 11x = 136

Or, 17x = 136

Or, x = $\frac{136}{17}$ = 8

Hence, the number of Professors = 6 × 8 = 48 Answer

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Lana71 [14]

Step-by-step explanation:

Matrix has 5 rows and 3 columns.

So it's order is 5x3.

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3 years ago

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SSSSS [86.1K]

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Step-by-step explanation:

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3 years ago

la edad de josé y beatriz están en la relacion de 5 a4 . si dentro de 3 años la suma de ambas edades seran 60 años , ¿ cual es l

miss Akunina [59]

Answer:

La edad actual de Beatriz es de:

30 años

Step-by-step explanation:

Planteamiento:

5e = 4b

(e+3) + (b+3) = 60

e = edad actual de José

b = edad actual de Beatriz

Desarrollo:

de la segunda ecuación del planteamiento:

e + b + 6 = 60

e + b = 60 - 6

e + b = 54

e = 54 - b

sustituyendo este último valor en la primer ecuación del planteamiento:

5(54-b) = 4b

5*54 + 5*-b = 4b

270 - 5b = 4b

270 = 4b + 5b

270 = 9b

b = 270/9

b = 30

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e = 54 - 30

e = 24

Comprobación:

5e = 4b

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3 0

3 years ago

2. How many real number solutions are there to the equation 0 =-3x2 + x - 4?

goblinko [34]

For this case we have the following quadratic equation:

$-3x ^ 2 + x-4 = 0$

Where:

$a = -3\\b = 1\\c = -4$

By definition, the discriminant of a quadratic equation is given by:

$d = b ^ 2-4 (a) (c)$

We have to:

$d> 0:$ Two different real roots

$d$ Two different complex roots

$d = 0:$ Two equal real roots

Substituting the values we have:

$d = 1 ^ 2-4 (-3) (- 4)\\d = 1-48\\d = -47$

So, we have two different complex roots

Answer:

Two different complex roots

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3 years ago

Write an equation for each condition listed.

Svetlanka [38]

Look for the y-intercept
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3 years ago