There are 9 employees at a corporate retreat, but a particular team building exercise requires only 2 people, each playing a different role. How many ways are there to select 2 employees and assign them to the roles?

Answer: okkkkkk

Step-by-step explanation:

How can I help you?............

Answer:

Step-by-step explanation:

number of ways=6×5×4=120

9514 1404 393

Answer:

  B, D, F

Step-by-step explanation:

The length of the third side must lie strictly between the sum and difference of the given lengths. If the third side is x, you must have ...

  7-4 < x < 7+4

  3 < x < 11

The numbers in the list of choices that lie between these limits are 5, 7, 9, choices B, D, F.

Answer:

y=-5x-9

Step-by-step explanation:

y-y1=m(x-x1)

y-6=-5(x-(-3))

y-6=-5(x+3)

y=-5x-15+6

y=-5x-9

Answer:

1. The sides are: 38.5, 39.5, 40.5 and 41.5

2. Presently, Inzo is 15 years old and Miz is 10 years old

3. [tex]Distance = 3682km[/tex]

4. Possible pairs are: (12, 14), (16, 18) and (20, 24)

5. [tex]L < 38m[/tex]

Step-by-step explanation:

The question has lots of missing details. See the comment section for complete question

Solving (a):

Given

Shape: Quadrilateral

Sides: Consecutive

[tex]Perimeter = 160[/tex]

Let one of the sides be x. The other sides will be x + 1, x + 2 and x + 3.

So, the perimeter is:

[tex]Perimeter = x + x + 1 + x + 2 + x + 3[/tex]

This gives:

[tex]160 = x + x + 1 + x + 2 + x + 3[/tex]

Collect Like Terms

[tex]160 -1-2-3= x+x+x+x[/tex]

[tex]154= 4x[/tex]

Divide both sides by 4

[tex]38.5 = x[/tex]

[tex]x =38.5[/tex]

So, the sides are: 38.5, 39.5, 40.5 and 41.5

Solving (b):

Given

Presently: [tex]Inzo = 10 + Miz[/tex]

Five years ago: [tex]Miz - 5= \frac{1}{3} * (Inzo-5)[/tex] --- (Missing from the question)

Required: Determine their present ages

Substitute [tex]10 + Miz[/tex] for Inzo in the second equation

[tex]Miz - 5 = \frac{1}{3} * (10 + Miz - 5)[/tex]

[tex]Miz - 5 = \frac{1}{3} * (Miz + 5)[/tex]

Multiply both sides by 3

[tex]3Miz - 15 = Miz + 5[/tex]

Collect Like Terms

[tex]3Miz -Miz = 15 + 5[/tex]

[tex]2Miz= 20[/tex]

Divide both sides by 2

[tex]Miz = 10[/tex]

Substitute 10 for Miz in [tex]Inzo = 10 + Miz[/tex]

[tex]Inzo = 10 + 5[/tex]

[tex]Inzo = 15[/tex]

So presently, Inzo is 15 years old and Miz is 10 years old

Solving (3):

Given

Express Train:

[tex]Speed = 100kph[/tex]

[tex]Time = t[/tex]

Local Train:

[tex]Speed = 45kph[/tex]

[tex]Time = t + 45[/tex]

Required: Determine the distance between A and B

Distance is calculated as:

[tex]Distance = Speed * Time[/tex]

For the express train:

[tex]Distance = 100 * t[/tex]

For the local train

[tex]Distance = 45 * (45 + t)[/tex]

Distance between both stations are equal; So,

[tex]100 * t = 45 * (45 + t)[/tex]

[tex]100 t = 2025 + 45t[/tex]

Collect Like Terms

[tex]100 t -45t= 2025[/tex]

[tex]55t= 2025[/tex]

Divide by 55

[tex]t = 36.82[/tex]

Substitute 36.82 for t in [tex]Distance = 100 * t[/tex]

[tex]Distance = 100 * 36.82[/tex]

[tex]Distance = 3682km[/tex]

Solving (4):

Let the even numbers be: n and n + 2.

Sum greater than 24: [tex]n + n + 2 > 24[/tex]

Sum less than 60: [tex]n + n + 2 < 60[/tex]

So, we have:

[tex]n + n + 2 > 24[/tex]

[tex]2n + 2 > 24[/tex]

Collect Like Terms

[tex]2n > 24-2[/tex]

[tex]2n > 22[/tex]

[tex]n > 11[/tex]

[tex]n + n + 2 < 60[/tex]

[tex]2n + 2< 60[/tex]

Collect Like Terms

[tex]2n < 60-2[/tex]

[tex]2n < 58[/tex]

Divide by 2

[tex]n<29[/tex]

So, we have:

[tex]n > 11[/tex] and [tex]n < 29[/tex]

So, possible pairs are: (12, 14), (16, 18) and (20, 24)

Solving (5):

Given

[tex]Perimeter < 152m[/tex]

Required: Find the possible lengths

Let the length be L.

Perimeter is calculated as:

[tex]Perimeter =4 * L[/tex]

[tex]Perimeter =4 L[/tex]

So, we have:

[tex]4L < 152m[/tex]

Divide through by 4

[tex]L < 38m[/tex]

Hence, length is less than 38m (e.g. 37m)

Answer:

igggg

Step-by-step explanation:

hfghggghvvhhhgghu

Answer:

y=x+6

Step-by-step explanation:

Answer:

50 cm

Step-by-step explanation:

The altitude from the vertex to the base bisects the base and divides the triangle into 2 right triangles.

Using one of the right triangles with legs 8 and 15 , then hypotenuse h is

h² = 8² + 15² = 64 + 225 = 289 ( take the square root of both sides )

h = [tex]\sqrt{289}[/tex] = 17

The 2 congruent sides of the isosceles triangle are 17 cm

Then the perimeter P is

P  = 17 + 17 + 16 = 50 cm

Answer:

We cant see what you are talking about we cant see the equation

Step-by-step explanation:

Step-by-step explanation:

106+94+135+5 = 340

540-340=200

200/2= 100

X = 100

Answer:

62 degrees

Step-by-step explanation:

Points (12,440 and (20,20)

Slope = -3

Equation of line: y - 44 = -3(x - 12)

Plug in x = 6 to get y = 62.

Answer:

45

Step-by-step explanation:

The area can be found by sectioning the polygon into three shapes.  A rectangle with an area of 18 inches can be found at the bottom, while the top can be divided into two triangles.  The triangle on the left has an area of 18in^2, (1/2*6*6) while the triangle on the right has an area of 9 in^2 (1/2*6*3).

Total area for all three shapes is 45 sq. inches

Answer:

ddgklkmbxawryunnvxzfdszAaefgu

Answer:

f(g) = -3( x^2 -x-6) -6 = -3x^2+3x+12

Answer:

6/38, 9/38 are two

Multiply by 2 and 3 DONT multiply the denominators when multiplying.

Answer:

Wat w Polsce i w sumie to nic innego niż

Answer:

total cost - $3.23 per icecream cone no tax // cost is $9.69 all 3 ice cream cones no tax // solve by multiplying .08 by $3.51. you get .28 // subtract that from $3.51 to solve

We know that :

[tex]\color{hotpink} \tt \: circumference \: of \: a \: circle\color{plum} = 2\pi r[/tex]

So, let the diameter of this circle be x.

Which means :

[tex] =\tt2 \times \pi \times r[/tex]

[tex] =\tt 2 \times x \times \pi = 12\pi[/tex]

[tex] =\tt 2x\pi = 12\pi[/tex]

[tex] =\tt x = \frac{12}{2} [/tex]

[tex] = \tt \: x = 6 \: m[/tex]

Thus, the radius of the circle Robert drew = 6 m

Since the circle in option B has a radius of 6 m, it is the circle Robert drew.

▪︎Therefore, the correct option is (B)

Answer:

G

Step-by-step explanation:

A 10 x 20 inch rectangle has an area of 200 square inches. Therefore, we must find the rectangle that is also 200 square inches.

The formula of finding the area of a rectangle is multiplying width times length.

F) 5 * 25 = 125

G) 8 * 25 = 200

H) 15 * 15 = 225

J) 15 * 25 = 375

Therefore, rectangle G has the same area, since it is also 200 square inches.

Answer:

$360

Step-by-step explanation:

Gains represents additions to her account while losses represent substractions

-$500

+740

+120                                                                                                                        ________

$360

Answer:

(-3, 2)

x=-3, y=2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation. and thats how you get your answer :)

The value of x is -3 and value of y is 2.

The given equations are:

6x + 6y=-6 ..(1)

5x + y=-13...(2)

From equation (2)

y=-13+5x..(3)

Plug in equation in equation (1):

6x + 6(-13+5x)=-6

6x-78+30x=-6

24x=-72

Divide both sides by 24:

x=-72/24

x=-3

Now put x=-3 in equation (2):

5(-3) + y = -13

-15 + y = -13

y = -13 + 15

y = 2

Hence, the value of x is -3 and value of y is 2.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6

the answer is x=8

I hope this helped

Answer:

racional

Step-by-step explanation:

56 = 56/1 = 112/2

racional

Answer:

WHY?

Step-by-step explanation:

i need 1 MORE BRAINLIEST!!!

Answer:

Any 3 trinalges

Step-by-step explanation:

total triangles= 9

1/3 of 9 = 1/3 x 9 =  3

So, shade 3 triangles

I hope im right!1

Step-by-step explanation:

There are total 9 parts of the triangle

⅓ of 9 is 3.

Therefore shade any 3 parts.

Answer:

75-9d

Step-by-step explanation:

Hello,

The Answer to the question is 75-9d let me explain why,

you are asking, how much money is leftover. For me to get that I need to know that for every book it cost "d" dollars.

You know you have $75, and you need 9 books, we don't know how much they cost but we don't really need to.

75 - 9d

75 is the total. You need to subtract it by how many books your buying, 9.

The books are d amount of dollars, so we put 9d so that we know that for every 1 book it cost d amount so technically 9 is the amount of books times d, how much 1 book costs

Hope you can understand, I was having some trouble finding a way to explain it so my bad.

Also, I haven't done that in a while so sorry if I'm wrong

-Nova

Answer:

x=3.2

Step-by-step explanation:

The value of the function at x =1 is -5.5.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given that the function is y = 2.5x - 8. The value of the function will be calculated as,

At x = 1 the value of y will be,

y = 2.5 x - 8

y = ( 2.5 x 1 ) - 8

y = 2.5 - 8

y = -5.5

To know more about function follow

https://brainly.com/question/10439235

#SPJ2

Answer:

Around 200 Dollars

Hope it helps

Answer:

$200

Step-by-step explanation: