By using Euler's formula, find the number of edges of a polyhedron with 16 faces and 20 vertices​

Answers

Answer 1

Answer:

34 edges

Step-by-step explanation:

Euler's formula for polyhedron states

F + V - E = 2

where F is number of faces, V, number of vertices, E number of edges

Here F = 16, V = 20, thus

16 + 20 - E = 2, that is

36 - E = 2 ( subtract 36 from both sides )

- E = - 34 ( multiply both sides by - 1 )

E = 34


Related Questions

Solve (x + 2 -6).
{x | -6 1}
{x | x < 0}

Answers

Answer:

x^2 + x = 0

Step-by-step explanation:

Simplifying

x2 + x = 0

Reorder the terms:

x + x2 = 0

Solving

x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.

x(1 + x) = 0

Solve: 4-(9g-5)=-27 please help

Answers

Answer:

-2

Step-by-step explanation:

9g-4-5=-27

9g-9=-27

Add 9 to both sides

9g=-18

g=-2

Answer:

-18

if you need more info. just search up you question on Google and click the first link

Graph the line
y=-2x=2

please hurry!

Answers

Answer:

-1,0

0,-2

slope is -2/1

Answer:

View the Screenshot that I have sent.

Please help me with this question.... please...

Answers

Answer:

just plug in the x value into the equation and put it in ur calculator

250 and 400 because you need to substitute the 5 and the 20 into x.
y=(200 • .05)(5)+200, y= 250
y=(200 • .05)(20)+200, y=400

the sum of 1 and 3 times a number is 22. write and solve and equation to determine the number. select the solution and graph that represents the number

a) x=4

b) x=6

c) x=7

d) x=9

Answers

Answer:

b

Step-by-step explanation:

If the sum of 1 and 3 times a number is 22, then x=7 is the solution and graph that represents the number

What is Equation?

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

Given,

The sum of 1 and 3 times a number is 22.

Let the unknown number be x

1+3x=22

Now subtract 1 from both the sides

1+3x-1=22-1

3x=21

Divide both sides by 3

x=7

So the solution of sentence sum of 1 and 3 times a number is 22 is 7.

x=7 is the equation of graph that represents the number

Hence x=7 is the equation of graph that represents the number

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Mikaila collected 27 pounds of glass bottles to bring to the recycling center. she also collected 400 ounces of newspapers and 160 ounces of aluminum cans. what is the total weight of the items Mikaila brought to the recycling center? write your answer in ounces. think you❤!

Answers

The total weight of the items Mikaila brought to the recycling center is 992.

geometry of straight lines​

Answers

There’s no question or photo?
I do geometry

Step-by-step explanation:

In geometry, the notion of line or straight line was introduced by ancient mathematicians to represent straight objects with negligible width and depth. Lines are an idealization of such objects, which are often described in terms of two points or referred to using a single letter.

Types of Lines:

Vertical lines: are straight up and down and perpendicular to horizontal lines.Horizontal lines: are straight up and down and perpendicular to vertical lines.Diagonal lines: are lines that straight in any direction except vertical or horizontal.

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

I hope it helps you!

Marisa's car gets an average of 28 miles per gallon of gas. She plans to drive 200 miles today and 220 miles tomorrow. How many gallons of gas should she expect to use in all?

A) 15 gallons
B) 28 gallons
C) 56 gallons
D) 67 gallons

Answers

Answer:

15

Step-by-step explanation:

Add the total of miles Marisa is going to drive; 200 + 220 = 420

Next, divide the total miles by the average miles Marisa can travel on one gallon of gas; 420 / 28 = 15

(Hope this helps!)

Find the slope of the line. Explain or show your reasoning.
Write an equation for the line.


Find the values for and . Explain or show your reasoning.

Answers

what are the points?

At the annual dog show, Chantel noticed that there were three more Scotties than Schnauzers. She also
realized that the number of Wirehaired Terriers was five less than twice the number of Schnauzers. If there
were 78 dogs in all (counting Schnauzers, Scotties, and Wirehaired Terriers), how many Schnauzers were
there? Write and solve an equation.

Answers

9514 1404 393

Answer:

(s+3) +s +(2s-5) = 7820 Schnauzers

Step-by-step explanation:

Each of the quantities is described in terms of the number of Schnauzers, and that is the number we are asked for. It is convenient to write an equation for the number of Schnauzers. We choose to use s for the variable representing that number.

  s = # of Schnauzers

  s+3 = # of Scotties, 3 more than the number of Schnauzers

  2s-5 = # of Wire-haired Terriers, 5 less than twice the number of Schnauzers

The total number of dogs is then ...

  (s+3) +(s) +(2s-5) = 78

  4s -2 = 78 . . . . simplify

  4s = 80 . . . . . . add 2

  s = 20 . . . . . . . divide by 4

There were 20 Schnauzers at the dog show.

This is the problem that I need help with please. :)

Answers

Answer:

umm I think it 186

Step-by-step explanation:

Shoppers at a grand opening for a sporting goods store receive a gift bag when they make a purchase. How often will a bag contain both a T-shirt and socks? Items in the Gift Bag T-shirt Every 4th bag Socks Every 3rd bag

Answers

Answer:

Every 12th bag

Step-by-step explanation:

Given that:

Gift bag contains :

T - shirt = every 4th bag

Socks = Every 3rd bag

To obtain how often gift bag contains both T-shirt and socks , obtain the Lowest common multiple of 4 and 3

Multiples of :

4 : 4, 8, 12, 16, 20, 24,....

3 : 3, 6, 9, 12, 15, 18, 21, 24,....

Hence, the lowest common multiple of both 4 and 3 is 12.

The bag will contain both T-shirt and socks after every 12th bag

I will give Brainlyest to the first person



A family gathered 12 seashells from the beach bringing the total number of seashells in their collection to 86
Which equation can be used to find, x, the number of seashells in the collection before the 12 were added?

Answers

Answer:

The first selection is the answer.

Step-by-step explanation:

x+12=86

The equation that can be used to find x is x + 12 = 86

A linear equation is of the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Let x represent the number of seashells in the collection before the 12 were added.  Hence to find x, we use the equation:

x + 12 = 86

The equation that can be used to find x is x + 12 = 86

Find out more at: https://brainly.com/question/13911928

subtract (7x^5-12x^2y+33y^2) from (5x^5-5x^2y+9y^2) simplify your results:

Answers

Answer:

- 2 [tex]x^{5}[/tex] + 7x²y - 24y²

Step-by-step explanation:

( 5 [tex]x^{5}[/tex] - 5x²y + 9y² ) - ( 7 [tex]x^{5}[/tex]  - 12x²y + 33y² ) =

5 [tex]x^{5}[/tex] - 5x²y + 9y² -  7 [tex]x^{5}[/tex]  + 12x²y - 33y² =

( 5 [tex]x^{5}[/tex] - 7 [tex]x^{5}[/tex] ) + ( - 5x²y + 12x²y ) + ( 9y² - 33y² ) =

- 2 [tex]x^{5}[/tex] + 7x²y - 24y²

Need some help with this question

Answers

Answer:

iba nalang

Step-by-step explanation:

just tell someting wag yan

1. -

2. ×

3.÷

i guess these r the answers

Letters used in the word mathematics

Answers

Answer:

In this case, there are 11 letters in the word 'mathematics'; three letters appear twice: m, a, and t.

Step-by-step explanation:

I don't know why you want this but there you go

The graph shows the average speed of Car 1 which is traveling on a highway. The equation y= 55x represents the average speed of Car​ 2, where y is the distance in miles and x is the time in hours. Which car is traveling at the greater​ speed?

Answers

Answer:

Car 1 is traveling faster than Car 2. Car 1 is traveling at a speed of 64 miles per hour and Car 2 is traveling at a speed of 55 miles per hour.

Is this true or false? Pls help a dumb person out

Answers

it shows that the chart is false. Hope it helps

Add a researcher compared the Heights and shoe sizes for 50 men, selected at random. The equation shown describes a line of best fit for the data, where X is the shoe size and why is the height, in inches (y=1.6x + 58)

Answers

Complete question :

a researcher compared the Heights and shoe sizes for 50 men, selected at random. The equation shown describes a line of best fit for the data, where X is the shoe size and y is the height, in inches (y=1.6x + 58)

Based on the equation, what is the approximate shoe size for a man having a height of 60 inches

Answer:

1.25

Step-by-step explanation:

Given the regression equation :

y=1.6x + 58

X = shoe size ; y = height

Using the equation, the approximate shoe size of a man with a height of 60 will be ;

60 = 1.6x + 58

60 - 58 = 1.6x

2 = 1.6x

2/1.6 = 1.6x / 1.6

x = 2 / 1.6

x = 1.25

Hence, approximate shoe size of a man with a height of 60 will be 1.25

Which statement correctly compares the angles?

Angle G is congruent to angle P.
Angle G is smaller than angle P.
Angle G is larger than angle P.
Angle G is congruent to angle N.

Answers

Answer:

its B

Step-by-step explanation:

well...you can see it XD

Answer:

Yepp B is correct on Edge

Step-by-step explanation:

The Ride-It Store rents bicycles.The cost is $8.50 for 1 hour, $13.65 for 2 hours,$18.80 for 3 hours, and $23.95 for 4 hours.If the pattern continues, how much will it cost Nate to rent a bike for 6 hours?

Answers

Answer:

in six hours it would be $34.25

Step-by-step explanation:

The computation of the total cost for 6 hours is shown below:

For one hour it would be $8.50

For two hours

= $13.65 - $8.50

= $5.15

For three hours

= $18.80 - $13.65

= $5.15

For four hours

= $23.95 - $18.80

= $5.15

For five hours

= $23.95 + $5.15

= $29.10

For six hours

= $29.10 + $5.15

= $34.25

Hence, in six hours it would be $34.25

%50 POINTZ Which set of statements explains how to plot a point at the location (Negative 2.5, 3.75)?
Start at the origin. Move 2.5 units left because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units up because they-coordinate is 3.75. 3.75 is between 3 and 4.
Start at the origin. Move 2.5 units left because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units down because they-coordinate is 3.75. 3.75 is between 3 and 4.
Start at the origin. Move 2.5 units up because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units left because the y-coordinate is 3.75. 3.75 is between 3 and 4.
Start at the origin. Move 2.5 units right because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units up because they-coordinate is 3.75. 3.75 is between 3 and 4.

Answers

Answer:

Move 2.5 units left because the x-coordinate is -2.5. -2.5 is between -2 and -3. Move 3.75 units up because they-coordinate is 3.75. 3.75 is between 3 and 4.

Step-by-step explanation:

Look at the picture.

(x ; y)

x < 0 - move x units left

x > 0 - move x units right

y < 0 - move y units down

y > 0 - move y units up

Answer:

answer is A

Step-by-step explanation:

your welcome :)

If 7^9/7^n = 7^3, then n is___.
12
01
-3
3

Answers

Answer: 6, but it isn't in your answer choices

Step-by-step explanation: When dividing exponents with the same base, subtract the bottom exponent from the top. In this case, you get 3 from subtracting n from 9, so n should be 6

Marching Bands: In how many ways can four marching bands and three floats line up for a paradeif two bands cannot march next to one another?

Answers

Answer:

There's 6 ways the boats can line up for the parade.

Step-by-step explanation:

Feel free to give brainliest.

Have an outstanding day!

A particular computer takes 11 minutes to download a 33​-minute TV show. How long will it take the computer to download a 2​-hour ​movie?

Answers

Answer:

42 minutes because i add 33min and 1/2 hours together and got 42

Step-by-step explanation:

42 minutes because i add 33min and 1/2 hours together and got 42

Answer:

40 minutes

Step-by-step explanation:

120 minutes = 2 hrs

120/33 = 3.636363636363....

and 3.6363636363.... x 11 minutes = 40 minutes

Mr. Au went to eat at McDonald's this week. On Monday, he ate some hamburgers. On Tuesday, he ate nothing at McDonald's. On Wednesday, he ate four more hamburgers than the number that he ate on Monday. On Thursday, he ate nothing at McDonald's. On Friday, Mr. Au ate three times as many hamburgers as he ate on Wednesday. Mr. Au ate a total of 26 hamburgers that week. How many hamburgers did he eat each day?

Answers

Answer: See explanation

Step-by-step explanation:

Let the number of hamburger he ate on Monday be represented by x.

Monday = x

Tuesday = 0

Wednesday = x + 4

Thursday = 0

Friday = 3(x + 4)

Total hamburgers ate = 26

To find the amount of hamburger ate each day we add the number of hamburger ate per day all together. This will be:

= x + 0 + x + 4 + 0 + 3(x+4) = 26

2x + 4 + 3x + 12 = 26

5x + 16 = 26

5x = 26 - 16

5x = 10

x = 10/5

x = 2

Monday = x = 2 hamburgers

Tuesday = 0

Wednesday = x + 4 = 2 + 4 = 6 hamburgers

Thursday = 0

Friday = 3(x + 4) = 3(2 + 4) = 18 hamburgers

Solve the equation 4x - 6 = 34. Write a justification for each step.


47-6= 34


Given equation


+6 +6


4x


Simplify.


= 40


4x 40


44


[2]


X= 10


Simplify


[1] Addition Property of Equality,


[2] Reflexive Property of Equality


[1] Substitution Property of Equality,


[2] Division Property of Equality


[1] Division Property of Equality,


[2] Subtraction Property of Equality


[1] Addition Property of Equality:


[2] Division Property of Equality


8

Answers

Answer:

[1] Addition property of equality

[2] Division property of equality

Step-by-step explanation:

Given the equation, [tex] 4x - 6 = 34 [/tex], the following are steps and justification for each step taken:

[tex] 4x - 6 = 34 [/tex] => Given equation

Add 6 to both sides

[tex] 4x - 6 + 6 = 34 + 6 [/tex] => addition property of equality [1]

[tex] 4x = 40 [/tex] => simplify

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{40}{4} [/tex] => Division property of equality [2]

[tex] x = 10 [/tex] => simplify

The justification for the steps taken are:

[1] Addition property of equality

[2] Division property of equality

Solve the following functions:

f(x) = 20x - 90 find f (x) = 10

Answers

Answer:

x=5

Step-by-step explanation:

cual es la respuesta de 1000+25

Answers

Answer:

1025

Step-by-step explanation:

 1 0 0 0

+      2 5

---------------

 1  0 2 5

----------------

HOPE THIS HELPS

PLZ MARK AS BRAINLIEST!!!!!!

There are 1 × 1014 good bacteria in the human body. There are 2.6 × 1018 good bacteria among the spectators in a soccer stadium. About how many spectators are in the stadium? Express your answer in scientific notation.

Answers

Answer:

There are [tex]2.6\times 10^{4}[/tex] spectators in the soccer stadium.

Step-by-step explanation:

From this statement, we can calculate the number of spectators in a soccer stadium by dividing the amount of bacteria among the spectators in a soccer stadium by the amount of bacteria in the human body. That is:

[tex]x = \frac{2.6\times 10^{18}\,bacteria}{1\times 10^{14}\,bacteria}[/tex]

[tex]x = \frac{2.6}{1}\times \frac{10^{18}}{10^{14}}[/tex]

[tex]x = 2.6\times 10^{18-14}[/tex]

[tex]x = 2.6\times 10^{4}[/tex]

There are [tex]2.6\times 10^{4}[/tex] spectators in the soccer stadium.

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Can someone show me how this worked out for the answer? In parallelogram WXYZ, what are the coordinates of the point of intersection of WY and ZX?Point of Intersection = ____ ____ What is the length of the line segment with endpoints (11, 4) and (12, 4) ? You exercise for 4 minutes to burn off 60 calories. If you exercise for 60 minutes and burn off 900 calories, is that correct? American Indians shared this common trait:A. They all dressed alike.B. They spoke the same language.C. They had the same type of housesD. They respected and cared for the environment.These ancient American Indians lived in PLEASE HELP ME SIMPLIFY THIS PLEASE SHOW WORK TO! THANK YOU 3/4x + 11 - 5 1/2 + 1/4x When you make a good decision you, ..A) do what other people tell you to doB) make a lot of moneyC) make other happyD) carefully consider your opinions Please help i'll mark brainlest !! when divided by 6 i am 200 when divided by 4 i am 200 when was uranus discovered Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = t2 + 35, y = ln(t2 + 35), z = t; (6, ln(36), 1) Dr. Patel has a patient who has recently had an injury to the brain, so she has ordered a test, hoping to locate that injury with the many X-rays produced. What type of test has she ordered? a) PET Scan b) CAT Scan c) EKG d) MRI Bikes and More just announced its next annual dividend will be $2.42 a share and all future dividends will increase by 2.5 percent annually. What is the market rate of return if this stock is currently selling for $22 a share? How did railroad expansion affect the prices of goods during the Gilded Age?(A) Shipping products by railroad was much cheaper, and the cost of goods decreased.(B) Shipping products by railroad was much slower, and the cost of goods decreased.(C)Shipping products by railroad was more time consuming, and the cost of goods increased.(D) Shipping products by railroad was more expensive, and the cost of goods increased. which of the following lists show the elements in order, from those having the least protons to those having the most protons in the atoms?A. K, Mg, N, OB. C, Al, P, ClC. Li, Be, H, HeD. Na, Ne, He, H What is the inverse of the function f(x) = 2x + 1? Arrange each set of real numbers in increasing order.please help me Nuts are especially good for vegetarians because-They contain a lot of calcium.-they are a good source of protein.-they are cheaper than most vegetables.-most important vitamins can be found in them. 107 is what percent of 160.9?(HELP NOW PLS) Abiotic factors are the____parts of an ecosystem. Math question help, its in the photo. Thank you! Instructions: Write and solve an equation to find the measure or angle x.