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3 years ago

10

The ratio of men to women working for a company is 5 to 6. If there are 198 employees total, how many women work for the company

?

1 answer:

nignag [31]3 years ago

5 0

Answer: 110 Women !

Step-by-step explanation:

Call their numbers 4x to 5x.

Since there are a total of 198 people,

4x + 5x = 198

9x = 198

x = 22

so that there are

88 men and 110 women.

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loris [4]

32, 7

0, - 1

20, 4

You just plug in the numbers and solve

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3 years ago

The number 66 is increased to 72. What is the percentage by which the number was increased, to the nearest tenth of a percent?

Lunna [17]

Answer:

The increase is 9.1%

Step-by-step explanation:

<u>Step 1: Make an equation </u>

$66 * x = 72$

$66x = 72$

<u>Step 2: Divide both sides by 66 </u>

$66x / 66 = 72 / 66$

$x = 1.09090$

<u>Step 3: Find the increased </u>

$1 - 1.09090$

$0.091 * 100$

9.1%

Answer: The increase is 9.1%

6 0

3 years ago

Which system of equations below has infinitely many solutions? y = –3x 4 and y = –3x – 4 y = –3x 4 and 3y = –9x 12 y = –3x 4 and

Flura [38]

the equations y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions. option B is correct.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Condition for the parallel lines.

L1, ax + bx + c = 0

L2, dx + ey + f = 0

If $\rm \dfrac{a}{d} = \dfrac{b}{e} = \dfrac{c}{f}$ then lines have infinitely many solutions.

<h3>Which system of equations below has infinitely many solutions?</h3>

y = –3x + 4 and 3y = –9x + 12

On comparing we have

a = -3 , b = 1, and c = 4

d = -9 , e = 3, and f = 12

Then their ratio will be

$\rm \dfrac{1}{3} = \dfrac{-3}{-9} = \dfrac{4}{12}\\\\\rm \dfrac{1}{3} = \dfrac{1}{3} = \dfrac{1}{3}$

Hence y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions.

Thus the option B is correct.

More about the linear system link is given below.

brainly.com/question/20379472

7 0

2 years ago

Explain your answer!! <br><br> Will give brainlst

Novosadov [1.4K]

• So we know that.....

x represent bags of snack and y is bottles of water.

This equations shows the total amount and the cost of each water bottle and snack:

20.00 = 2.50x + 1.00y

Total: $20.00
Snack: $2.50
Water Bottle: $1.00

And this question shows the total items:

11 = x + y

Which there will be some snack + some water bottle = 11 items

—————————————————————

• Now I’m going to first solve for x, which is the amount of bags of snack.

I will use the equation, 11 = x + y.

(First, we’ll subtract y from both side, since we’re solving for x [UNDO])

11 = x + y
-y = - y
_______
11 - y = x —> so x is equal to 11 minus y.

—————————————————————

• Now we’re going to plug the 11 - y as x in the equation: 20.00 = 2.50x + 1.00y to solve for y.

20.00 = 2.50 (11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y (Distributed)

20.00 = 27.5 - 1.50y (Combine like terms)

20.00 = 27.5 - 1.50y
-27.5 = -27.5 (Subtract -27.5 both side)
——————————
-7.5 = - 1.50y

-7.5 = -1.50y
—— ——— (Divide both side by -1.50)
- 1.50 = -1.50

5 = y

y is equals to 5, which means that there are 5 water bottles.

Now we know there are 11 items total and because there are 5 water bottles, there will be 6 bags of snacks. 11-5=6

—————————————————————

ANSWER:

They bought 6 bags of snacks! :)

4 0

3 years ago

Hi best answer receives a brainlist :))

il63 [147K]

Answer:

its A increases as x goes to ∞

decreases as x goes to -∞

Step-by-step explanation:

6 0

2 years ago