What are the solutions of this equation? 2x^2 + 16x − 8 = 0

7:5 mean that to every 7 men there is 5 woman.

There are 54 women working for the company.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

The ratio of men to women working for the company is 7:5, which means that for every 7 men, there are 5 women.

We can express this as a fraction by writing 7/7 as 1 and 5/7 as 5/7, so the ratio becomes 1:5/7.

This fraction can be rewritten as 7/7:35/7, and since the two fractions have the same denominator, we can say that the ratio is equal to 7:35.

Since there are 192 total employees, and the ratio of men to women is 7:35, we can set up the following proportion:

7/35 = x/192

We can solve this proportion by cross-multiplying:

7/35 × 192 = x

This simplifies to:

x = 54

Therefore, the company hired 54 female employees.

To learn more about the Ratio click here:

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Answer:

geotheral

Step-by-step explanation:

Answer:

D. 14

Step-by-step explanation:

These triangles are something called a scale factor. A scale factor means when you multiply any side by that factor, you get the side of the other triangle. It is an exact copy of the triangle from before, just bigger or smaller, also known as set to scale. Here we can do 7/6 to find the scale factor (which is 1.16666666667), and multiply that factor by 12 to get 14.

Step-by-step explanation:

if X=-1

3(-1) - 2y =6

-3 - 2y =6

-2y=6+3

-2y =9

y=

[tex] \frac{9}{ - 2} [/tex]

y=

[tex] - 4 \frac{1}{2} [/tex]

If X=0

3(0)-2y=6

0-2y=6

-2y=6+0

-2y=6

y=

[tex] \frac{6}{ - 2} = - 3[/tex]

y= -3

if X=1

3(1)-2y=6

3-2y=6

-2y=6-3

-2y=3

y

[tex] \frac{3}{ - 2} = - 1 \frac{1}{ 2} [/tex]

Answer:

x = 8

Step-by-step explanation:

4x + 3 = 35

subtract 3 from each side

4x = 32

divide 4 from each side

x = 8

We are given –

We are asked to find volume of the given cylinder.

Let the radius be "r".Then according to the question,it’s given –

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\bf Curved\: surface\: area _{(Cylinder)}= 2\pi r h }[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 2\pi r h = 24 \pi[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 2\cancel{\pi} rh = 24 \cancel{\pi}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r =\dfrac{24}{2h}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \dfrac{24}{2\times 4}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \dfrac{24}{8}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \cancel{\dfrac{24}{8}}[/tex]

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\bf r = 3 \: cm}[/tex]

Now, Let's find volume of cylinder

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf V_{(Cylinder)} = \pi {r}^{2}h}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 3^2\times 4 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 9 \times 4[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf V_{(Cylinder)} = \pi \times 36[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf V_{(Cylinder)} = 36 \pi \: cm^3}[/tex]

Step-by-step explanation:

Given :-

to find :-

Solution :-

Lateral surface area of cylinder = 2πrh

24π cm = 2πrh

Cancelling π on both the sides ,

24/2h = r

putting the value of h i.e, 4 cm

24/2×4 cm = r

3 cm = radius

Now volume of Cylinder = πr²h

putting all the values ,

Volume = 3.14 × 3² × 4 cm³

Volume = 113.04 cm³

Answer:

Cos of B = 36 / 38.884

Step-by-step explanation:

To find the cos of b you need the hypotenuse

(a)^2 + (b)^2 = (c)2

(36)^2 + (15)^2 = 1521

1521 squared is 38.884

Hypotenuse side goes on bottom and adjacent side on top

Cos of B = 36 / 38.884

Answer:

2. Distributive Property

4. Division Property of Equality

Step-by-step explanation:

2. The reason is Distributive Property since Raya distributed 2.5 to each term in the parentheses:

2.5(6.25x)+2.5(0.5)=11 --> 15.625x+1.25=11

4. The reason is Division Property of Equality since Raya divided both sides by 15.625.

A more in depth version of 3-4:

15.625x+1.25-1.25=11-1.25

               15.625x=9.75

Divide both sides by 15.625 (division property of equality since she is dividing the same number from both sides of the equation)

                           x=0.624

Answer:

y=3x-10

Step-by-step explanation:

A line parallel to another line has the same slope.

Therefore, we can create the equation y=3x+b.

Substituting (4,2) into y=3x+b,

2=3(4)+b

2=12+b

-10=b

y=3x-10

Therefore, the equation of the line parallel to y=3x-8 which passes through the point (4,2) is y=3x-10

Answer:

y = 3x - 10

Step-by-step explanation:

Equation: y = 3x + b

Point: (4, 2)

y = 3x + b

2 = 3 (4) + b

2 = 12 + b

b = -10

y = 3x - 10

Answer:

Cube root of 27 in radical form: ∛27???

Step-by-step explanation:

hope this helps

Answer:

=> 5m+3(m-3)+7=2m-1

=> 5m+3m-9+7 = 2m-1

=> 8m-2 = 2m-1

=> 8m-2m = -1+2

=> 6m = 1

=> m = 1/6

Answer:

quadrilateral

Step-by-step explanation:

Organizing the problem:

Which THREE expressions are equivalent to:

(x + 6) + (x + 6) + (x + 6) + (x + 6)

O 4(x + 6)

0 2 (x + 12)

2 + 12 + 22

12 3a + 6 + 1 = 6

тиб 42 = 24

Out of these selections, i can only tell that number one is correct, number two isn't, and i can't tell for the rest. Please organize the question more clearly.

--Hunter

Find the least common multiple of the denominators of the fractions. Write equivalent fractions that have the least common multiple as the denominator.

Answer:

0.171 m

Step-by-step explanation:

First, let's determine how many mm of track he has in total...

74mm+97mm=171 mm

Now, we can set up a unit converter to convert mm to m (note that 1 mm is [tex]10^{-3{[/tex] m)...

[tex]171mm(\frac{10^{-3}m}{1mm})[/tex]

The "mm" cancels out...

[tex]171*10^{-3}m=0.171m[/tex]

Answer:

Step-by-step explanation:

74 +  97 = 171 mm

Length of the train track = 171 mm = 171÷ 1000 = 0.171 m

Given, m<7 = 108°

To find, m<3

Since both the given angles are on the same side of transversal, thus there sum is 180°

Thus, m<7 + m<3 = 180°

108° + m<3 = 180°

m<3 = 180° - 108°

m<3 = 72°

Hope this helps :)

Answer:

Step-by-step explanation:

yeah you got it

Answer:

I believe your answer is 9

Step-by-step explanation:

The way I found this answer was by assuming that triangle CDE was expanded to get triangle FGH. So I divided 18/4 and got the answer 4.5, which means that the triangle was expanded by a factor of 4.5. So I then multiplied the similar side to HG by 4.5 which was side ED. This got me with 4.5 x 2 and I got the answer 9.

Hope this helps! :)

Answer:

➢ The income effect describes the relationship between an increase in real income and demand for a good. The result of the income effect for a normal good is discernible to that of an inferior good in that a positive income change causes a consumer to buy more of a normal good, but less of an inferior good.

[tex]Into \: your Arms[/tex]

#CarryOnLearning

Answer:

Total time: 67 minutes

Step-by-step explanation:

35m + 4(8m) = 67m

Answer:

READING TIME :- 35 MINUTES

GAME TIME. :- 32 MINUTES

HOPE IT HELPS U!!!!

[1] y = 2x

- the line goes through the origin (0, 0) so there will be no b value

- the line, starting from (0, 0) goes up two and to the right 1 into the next point giving us a slope of 2/1 which simplifies to 2

[2] (0, 5)

- we can figure this out without graphing or plugging in values because (0, y) will be the y-intercept, or the b value

- in this case the value is 5

[3] y = 3x + 12

- it uses a different term than I am used too, but by "graident" I think they mean the slope

- if it has the same slope, then it will be a slope of 3

- if it passes through (0, 12) then again, this is the y-intercept or our b-value

Have a nice day!

-> See attached for more information on b values

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

Answer:

Sample Response/Explanation: A system consisting of lines that do not intersect will have no solution. Lines will not intersect if they have the same slope, but different y-intercepts. Parallel lines have the same slope, which means they will never intersect.

Step-by-step explanation:

Answer:

[tex]25[/tex]% of 96 = 24

Step-by-step explanation:

?% of 96 = 24

[tex]\frac{x}{100} =\frac{24}{96}[/tex]

[tex]x =\frac{24*100}{96}[/tex]

[tex]x = 25[/tex]%

Answer:

[tex]10 {w}^{2} - 31w + 15 \\ \\ 10 {w}^{2} - 6w - 25w + 15 \\ \\ 2w(5w - 3) - 5(5w - 3) \\ \\ (2w - 5)(5w - 3)[/tex]

# be careful #

Answer:

h = 22.5

Step-by-step explanation:

Volume Cylinder = πr²h

Radius = diameter/2

radius = 3

Solve:

-Chetan K