If something is proportional, as one value increases, the other increases at the same rate.

The ratio of workers to supervisors and factories 32 to 2. The ratio of male workers to female workers is 6 to 5. If there are 8

Margarita [4]

Answer:

The number of supervisor in the factory is 9 .

Step-by-step explanation:

Given as :

The ratio of workers to supervisors and factories 32 : 2

let the number of workers = 32 x

And The number of supervisors = 2 x

The ratio of male workers to female workers is 6:5

Let The number of male workers = 6 y

And The number of female worker = 5 y

The number of female workers at the plant = 80

So, 5 y = 80

∴ y = $\frac{80}{5}$

I.e y = 16

So, The number of male workers = 6 y = 6 × 16 = 96

Thus The Total number of worker in the factory = The number of male workers + The number of female workers at the plant

Or, The Total number of worker in the factory = 96 + 80 = 146

Now , Again

∵ The ratio of workers to supervisors in factories 32 : 2

So, The number of workers = 32 x

I.e 146 = 32 x

∴ x = $\frac{146}{32}$ = 4.5

So, The number of supervisors = 2 x = 2 × 4.5 = 9

Hence The number of supervisor in the factory is 9 . Answer

3 0

3 years ago

Read 2 more answers

Line m passes through points (-20, 5) and (-4,7). Line n passes through points (-5,5) and (7,4). Are lines m and n perpendicular

LuckyWell [14K]

Answer:b

Step-by-step explanation: it’s right because it is

5 0

3 years ago

HELPPP....PLEASE...........

kogti [31]

Answer:

9 1/3, 12 1/2, 14 3/4

Step-by-step explanation:

I assume the formula you’re working with is A=b*h since nothing says otherwise...

((Patio 1))

So you have your area (147) and your base (15 3/4), now you need to plug them in, which should look like this:

147= 15 3/4*h

You need to isolate your h in order to get the missing number, so you should divide both sides by 15 3/4 OR 63/4 ((15*3—>60+3=63))

Dividing by a fraction is the equivalent of multiplying by its reciprocal... so

147 * 4/63 = 588/63 which can be simplified to 84/9 once both the numerator and denominator are divided by 7

In mixed number for it is 9 3/9 which simplified becomes 9 1/3

You solve the other similarly

3 0

4 years ago

What is 9(3t+4b) simplifyed expression

zlopas [31]

9 (3t + 4b) Distribute
9 * 3t + 9 * 4b Multiply
27t + 36b

Hope this helps!!!

7 0

3 years ago

PLEASE HELP ME 40 PTS!!!!!!

SSSSS [86.1K]

Answer:

The sequence converges to infinity.

Step-by-step explanation:

$a_n = \frac{n^3 - n}{n^2 + 5n}\\\\ \lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{n^3 - n}{n^2 + 5n}$

$= \lim_{n \to \infty} \frac{n(n^2 - 1)}{n(n + 5)} \\\\= \lim_{n \to \infty} \frac{(n^2 - 1)}{(n + 5)}\\\\= \lim_{n \to \infty} \frac{n(n - \frac{1}{n})}{n(1 + \frac{5}{n})}\\\\= \lim_{n \to \infty} \frac{(n - \frac{1}{n})}{(1 + \frac{5}{n})}$

$denominator = \lim_{n \to \infty} 1 + \frac{5}{n} = 1 + \lim_{n \to \infty} \frac{5}{n} = 1+0 = 1$

$numerator = \lim_{n \to \infty} n - \frac{1}{n} = \infty$

Therefore,

$\lim_{n \to \infty} a_n = \frac{ \infty}{1} = \infty$

8 0

3 years ago