If the length of overline AC equals 84, what is the length of the midsegment overline DE ?
A) 28
B) 32
C) 36
D) 42

The total number of ways in which the 3 people line up for the 3 cashiers is 36 ways.

First, we consider the number of ways in which we can arrange the 3 cashiers. Since order matters, we use permutation. So, we have ³P₃ ways of arranging the 3 cashiers. ³P₃ = 3 × 2 × 1 = 6 ways.

Also, the number of ways we can arrange the 3 people to line up since order matters is ³P₃ =  3 × 2 × 1 = 6 ways.

So, the total number of ways in which we can arrange both the 3 cashiers and the 3 people in a line is ³P₃ × ³P₃ = 6 × 6 = 36 ways.

The total number of ways in which the 3 people line up for the 3 cashiers is 36 ways.

Learn more about permutations here:

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Answer:

60 ways

Step-by-step explanation:

So, sadly there is no real algorithm that I could find for this so I just went ahead and listed all the ways that the people can be organized

3,0,0

0,3,0

0,0,3

2,1,0

2,0,1

1,2,0

1,0,2

0,2,1

0,1,2

1,1,1

So, we have 10 ways to organize them. But we need to remember that there are also 6 ways to randomly organize 3 people. So, 10x6 is 60

Answer:

Yes

Step-by-step explanation:

Because both triangles are equal in legnth.

Answer:

9/20 or 45%

Step-by-step explanation:

If we make common denominators (for this example, we will make each denominator 20), this would make 7/10 = 14/20 and 1/4 = 5/20. From there, we subtract the numerators from each other (14-5) and leave the denominators alone. The difference comes out to 9/20 and there is no way to simplify it further, making it the final answer.

Step-by-step explanation:

option A describes the algebraic expression 10x + 2.

hope this answer helps you dear!

Answer: 800 dollars per month

Step-by-step explanation:

12000 divided by 15 is 800

800 x 15 = 12000

5(-2)² - 9

First, solve the one in the bracket which is -2 × -2 which gives us =4

5(4) - 9

Then, multiply 5 with 4 so

20 - 9

Then you'll get 11

Answer:

36

Step-by-step explanation:

Find the unit rate for each hour

144/24=6

6 hrs every hour

6*6=36 miles in 6 hours

Answer: i cant understand that laugaue so hopefully u do well sorry

Step-by-step explanation:

Answer:

- 3 < p < 4

Step-by-step explanation:

Given p is greater than - 3 then - 3 is less than p

- 3 < p < 4

Answer:

therefore m=-3•5

Step-by-step explanation:

-39=18+4m

collect like terms

4m=18-39

4m=-14

divide both sides by 4m

m= -3•5

Answer:

I need this in essay form......

Phaeton, who has just discovered that is he is the son of the sun god, pays a visit to his father and makes a special request. In this passage consider how the author uses literary elements such as plot and language to reinforce the theme of the dangers of pride.

Answer:

[tex]6x = 4x + 6 \\ 6x - 4x = 6 \\ 2x = 6 \\ x = \frac{6}{2} \\ \boxed{x = 3}[/tex]

Answer:

x = 3

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Answer: a

Step-by-step explanation: In the picture

please give me a brainliest answer

Step-by-step explanation:

just look at the graph and check the typical "special" points.

e.g. when x = 0, and when y = 0, and maybe (depending on the curve) some other interesting ones.

so, what does the graph tell for x = 0 ?

it says y = 5.

that rules out C and D, because they would deliver y = 1/5 for x = 0.

so, it can only be A or B.

now, what does the graph tell us for y = 0 ?

ok, it tells us, x = 1.

that does not help us in this case, as both, A and B deliver y = 0 for x = 1

so, let's look at another good point. good points are points, where we can see pretty precisely their coordinates on the chart, and where these coordinates are even integer numbers.

I see e.g.

x = 2, and y = -5

let's try A

-5 = -5 × cubic root(2 - 1) = -5 × cubic root (1) = -5×1 = -5

so, -5 = -5, that is correct.

let's verify by checking also B

-5 = 5 × cubic root (1 - 2) = 5 × cubic root (-1) = 5×-1 = -5

-5 = -5, again, this is correct.

hmmmmm.

when we think about it, in fact, A and B are the same function (by the way, C and D are equal to each other too).

either your teacher made a mistake or tried to trick you.

A and B are both the right answer.

why ?

A (I only write "cr" for cubic root now)

y = -5 × cr(x - 1) = 5 × -1 × cr(x - 1) = 5 × cr((-1)³(x - 1)) =

= 5 × cr(-1 × (x - 1)) = 5 × cr(x×-1 - 1×-1) = 5 × cr(1 - x) = B

so, A and B are actually equal.

Answer:

Explanation:

So the equation it's asking you to do is like y=kx ,

so your k is 2/3.

y=2/3x

Then for x it's 3 1/2.

y= 2/3(3 1/2)

now your "y" is any variable to hold the other too.

Hope this helped!

y= 2/3( [tex]3\frac{1}{2}[/tex]) is the  equation that relates the amounts of pretzels and peanuts in the snack mix.

Two or more expressions with an Equal sign is called as Equation.

Given that Emma is making a snack mix of pretzels and peanuts

For every batch, she uses 2/3 cup of peanuts and [tex]3\frac{1}{2}[/tex] cups of pretzels

We need to find an equation that relates the amounts of pretzels and peanuts in the snack mix.

The equation will be in the form of y=kx

From the given information the value of k is 2/3

y=2/3x

y= 2/3( [tex]3\frac{1}{2}[/tex])

Hence, y= 2/3( [tex]3\frac{1}{2}[/tex]) is the  equation that relates the amounts of pretzels and peanuts in the snack mix.

To learn more on Equation:

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#SPJ5

Answer:

bru you have a head

Step-by-step explanation:

use ittt

Answer:

Its actually 9.4 × 10²

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

2x=5-1

2x=4

x=4/2

simplify 4/2 to 2, x=2

Answer:

B is the answer

The inequality is −

3≤x≤2

Step-by-step explanation:

Answer:

sorry i don't know the answer!

Step-by-step explanation:

if i knew i would'v helped..

Answer:

I think the answers are #4.A

#5.B

Answer:

10d

Step-by-step explanation:

6d+5 =11d

2-3d = -1d

11d-1d= 10d

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - y = 5 ( subtract 2x from both sides )

- y = - 2x + 5 ( multiply through by - 1 )

y = 2x - 5 ← in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]

Answer:

12°

Step-by-step explanation:

it is a ratio let represent by x

6x+5x+4x=180

15x=180

x=12°

Answer:

3/13 which is 0.23 as a decimal

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

[tex]x > 3[/tex]

Step-by-step explanation:

[tex] \frac{1}{3} (3x + 6) + 5x > 20 \\ x + 2 + 5x > 20 \\ 6x + 2 > 20 \\ 6x > 18 \\ x > 3[/tex]

Answer:

the y intercept is 1 so you plot (0,1) on the graph, then you take -4/3 and go up 4 from the y intercept and over the left 3 times. Finally you go back to the y intercept and got down 4 and to the right 3 time then connect it with a line with arrows on both ends. hope this helps!