Dwight left Schrute Farms and drove to Dunder Mifflin. After leaving Dunder Mifflin, he stopped at the Scranton White Pages, and then drove back to Schrute Farms. The diagram shows the top view of the locations of these three places and their distances from each other. What is the TOTAL distance that Dwight drove?

Answer:

Correct!

Step-by-step explanation:

Good Job

Answer:

Function - Yes

Domain - [-3,0,3,4]

Range - [1,2,2,5]

Step-by-step explanation:

In a function, x-values cannot repeat and in this relation, x's do not repeat, therefore it is a function. The domain is the x-values on the graph from least to greatest; so to find the domain, simply take the first value of each coordinate and order them from least to greatest. Then, the range is the y-values, so to find the range take the second value from each coordinate and order them from least to greatest.

Answer:

x = -20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2x - 12 = -52

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that -52 does indeed equal -52.

∴ x = -20 is the solution to the equation.

Answer:

[tex]2x - 12 = - 52 \\ 2x = - 52 + 12 \\ 2x = - 40 \\ \boxed{x = - 20}[/tex]

Answer:

4 is c

5 is b

6 is 11 and 71

7 is 27.5 and 84.25

Answer:

A

Step-by-step explanation:

Percentage increment means the part of original value is added to the value. The new length of the living room is 14.4 feet long and new width of the living room is 1.6 feet long. The option A is the correct option.

Percentage of a number or ratio is fraction of hundred. It is expressed with the sign "%".

Given information-

The length of the living room is 12 feet.

The width of the living room is 8 feet.

The owner increases the 20 percent of length and 20% width.

Suppose new length is [tex]l[/tex] feet long. As the owner increases the 20 percent of length. Thus the new length will be sum of original length and the 20 percent of it. Hence,

[tex]l=12+\dfrac{20}{100}\times12 \\l=12+2.4\\l=14.4[/tex]

Thus the new length of the living room is 14.4 feet long.

Suppose new width is [tex]w[/tex] feet long. As the owner increases the 20 percent of width. Thus the new width will be sum of original width and the 20 percent of it. Hence,

[tex]w=8+\dfrac{20}{100}\times8 \\w=8+1.6\\w=9.6[/tex]

Thus the new width of the living room is 1.6 feet long.

Hence the new length of the living room is 14.4 feet long and new width of the living room is 1.6 feet long. The option A is the correct option.

Learn more about the percentage here;

https://brainly.com/question/24304697

Answer:

9.025

Step-by-step explanation:

9+25*0.001

9+0.025

9.025

Answer:

he could invite 19 friends

Step-by-step explanation:

125 (buget) - 30 (cost for 1st ticket) = 95

95/5 = 19

Answer:

Its A. g = 11

Step-by-step explanation:

Follow PEMDAS (Parantheses, exponents, multiplication, division, addition, and subtraction)

(g = 11 - 9 = 2)

7(2) = 14

14 + 12 = 26

I hope this helps u! :D

9514 1404 393

Answer:

  (A)  g = 11

Step-by-step explanation:

We can find out by undoing what is done to g.

  26 = 7(g -9) +12

  14 = 7(g -9) . . . . . . . . subtract 12

  2 = g -9 . . . . . . . . . divide by 7

  11 = g . . . . . . . . . . add 9

The value of g that makes the equation true is g = 11.

Answer:

it would be $80.00

Step-by-step explanation:

there

Answer:

this would be b

Step-by-step explanation:

Answer:

the answer is 270 degrees

Step-by-step explanation:

can you help me on my question?

Answer:

arithmetic mean of mode is 4.54 recurring arithmetic mean of median is 5.

Step-by-step explanation:

Mean of mode mode is in the column 7 so you add all those numbers and divide by the number of the numbers

Wet through because in the definition it says throughly

Answer:

2/7

Step-by-step explanation:

4-2=2

4/7 - 2/7 = 2/7

the denominators are the same so just change the numerators

Answer:

2/7

Step-by-step explanation:

[tex] \frac{4}{7} - \frac{2}{7} = \frac{2}{7} [/tex]

if the bottom numbers are the same you can subtract the top numbers like normal

Answer

2.5w+4=2u

3. z+6*y

4. 2.5/a=4

Step-by-step explanation:

sorry about the other ones they were confusing hope these are right if not im  so sorry

Answer:14 .5

Step-by-step explanation:

3x2 is 6 and 4x2 is 8 so it would be 14a and a half aka 14.5

Answer:

7

Step-by-step explanation:

0.5 *( 3 (2) + 2 (4) )

        (6+8)

0.5*(6+8)

0.5*14

7

Answer:

255

Step-by-step explanation:

1500*.0425*4 = 255

Answer:

Circumcenter

Step-by-step explanation:

The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter . A point where three or more lines intersect is called a point of concurrency. So, the circumcenter is the point of concurrency of perpendicular bisectors of a triangle.

Ace C.a.r.l.o.s. -The Kid Laroi

Answer:

15

Step-by-step explanation:

She basically did a U-Turn

Answer:

Step-by-step explanation:

Let the fraction is "x"

hence putt in box we get,

1-x=3/7

x=1-3/7

taking LCM

x=7-3/7

x=4/7 Ans....

Answer:

The fraction which goes in that box is 3/7.

9514 1404 393

Answer:

  E = (-2, -1.5), see attached for a plot

Step-by-step explanation:

We want point E such that ...

  EC/DC = 3/4 . . . . . . . . the ratio of segment lengths is 3/4

  (E -C)/(D -C) = 3/4 . . . . the ratio of coordinate differences is 3/4

  4(E -C) = 3(D -C) . . . . . cross multiply

  4E = 3D -3C +4C . . . . isolate E term

  E = (3D +C)/4 . . . . . . . divide by 4 to find E

__

  E = (3(-3, -4) +(1, 6))/4 = (-9+1, -12 +6)/4

  E = (-2, -1.5)

The point is plotted in the attached graph.

Answer:

40.5 points

Step-by-step explanation:

To start off, I would set up a proportion. You're trying to find how many points out of the total 45 would give you a 90%.

90% as a fraction would be [tex]\frac{90}{100}[/tex].

When you set the two equal to one another, you get this:

[tex]\frac{x}{45} = \frac{90}{100}[/tex]

The bottom numbers are the total amount of points, and the top is how many points a student got.

To solve for x, which is the number of points a student would need to earn, you can cross multiply.

After you do that, you should get:

100x = 4050

To isolate x, you can divide by 100 on both sides.

x = [tex]\frac{4050}{100}[/tex] = 40.5 points

To check your answer, all you have to do is divide.

40.5 ÷ 45 = 0.9

0.9 as a percent is 90%.

Answer: (-∞,2)

Step-by-step explanation: 2 is not included in the interval since at x=2, the function crosses the x axis, meaning it is not positive, and instead 0.

All x values below 2 are positive.

Answer:

$10.50 for each class

Step-by-step explanation:

105 % 10 = 10.5

Answer:

10%

Step-by-step explanation:

Answer:

1. h = 2.4t + 4

2. 4 feet

3. 220 feet

Step-by-step explanation:

1. Write a linear model for the height, h, of the balloon as a function of the number of seconds, s that it has been raising.

Since the balloon rises at a constant rate, we find this rate by using the initial and final values of height and time at 5 seconds and 20 seconds respectively which are 12 feet and 52 feet respectively.

So, rate = gradient of line

= change in height/change  in time

= (52 ft - 16 ft)/(20 s - 5 s)

= 36 ft/15 s

= 2.4 ft/s

Now the equation of the line which shows the height is gotten from

(h - h')/(t - t') = rate

Using h'= 16 feet and t' = 5 s, we have

(h - 16)/(t - 5) = 2.4

h - 16 = 2.4(t - 5)

h - 16 = 2.4t - 12

h = 2.4t - 12 + 16

h = 2.4t + 4

where h is the height of the balloon above the ground and t is the time spent in the air in seconds.

2. What was the height of the balloon initially before the child let it go?

We obtain the initial height of the balloon before the child let go at time, t = 0 the time before the child let go.

So, substituting t = 0 into the equation for h, we have

h = 2.4t + 4

h = 2.4(0) + 4

h = 0 + 4

h = 4 feet

So, the height of the balloon before the child let go is 4 feet above the ground.

3. Use your model to predict the height of the balloon after 90 seconds.

We insert t = 90 s into the equation for h. So,

h = 2.4t + 4

h = 2.4(90) + 4

h = 216 + 4

h = 220 feet

So, the height of the balloon after 90 s is 220 feet above the ground.

Answer:

12.5

Step-by-step explanation:

y= kx

k= y/x

x= 5, y= 12

k = 12/5

Therefore the value of x when y is 30 can be calculated as follows

y = kx

30= 12/5x

x= 30÷12/5

x= 30× 5/12

x= 150/12

x= 12.5