find three consecutive integers whose average is 20. please show work!!

Answers

Answer 1

Answer:

19,20,21

Step-by-step explanation:

The average is 20. The numbers can be written as: 20+a, 20 +b, 20+c, with a, b, c integers (positive and negative, but higher than - 19),with a+b+c =0.

You have to find the combination a, b, c with the smallest positive integer as its higher number.

Obviously, you start with 1, and find - 1,0,+1 as a suitable solution.

Therefore, the numbers are 20-1, 20,20+1

=> 19,20,21

Answer 2

Answer:

4x times 5x equals 20x

20x times 1x equals 20x

15x plus 5x equals 20x

Step-by-step explanation:

hope it helps


Related Questions

Hazel is putting together charm bracelets. For each bracelet 1/5 of a yard of string and 12 charms. hazel has 5/8 of a yard of string and 96 charms. she makes the charm bracelet until all of the string is gone. what fraction of charms did she use?

Answers

Answer:

3/8

Step-by-step explanation:

First, find the number of bracelets she's able to make with her string. She has 5/8 of a yard and uses 1/5 per bracelet. To divide the number of yards she has by the number she uses, multiply 5/8 by the reciprocal of 1/5 (5/1).

5/8 * 5/1 = 25/8

25/8 is 3.12500, which is the number of bracelets she can make. It rounds down to 3 since she can't make 0.12500 bracelets.

Now, find how many charms she used. 3 bracelets * 12 charms each is 36 charms in total.

So she used 36/96 of her charms. This can be simplified to 3/8.

Answer:

37/96 hazel has

Step-by-step explanation:

1/5 times 12=60

so Hazel uses 1 yardd for 60 charms, so for 5/8 yard Hazel would use 5/8×60=37.5.

since Hazel isn't able to use a fraction of a charm, she would use 37 charms

37/96 Charms Hazel has

Collin has 25 pounds of dog food. He feeds the dog 1.252 pounds. How much dog food does Collins have?

Answers

Answer:

The answer is 23.748 pounds.

Step-by-step explanation:

25-1.252= 23.748

If this is incorrect, line up your decimal point and subtract.

Use what you know about the number of faces, vertices, and edges in polyhedrons to choose True or False for each statement.

A triangular pyramid has the same number of faces as vertices.
Choose...


A triangular prism has the same number of faces as vertices.
Choose...


The sum of the faces and vertices for a triangular prism is 11.
Choose...


The number of edges of a polyhedron is 2 less than the sum of the number of faces and vertices.
Choose...

Answers

Answer:

Step-by-step explanation:

#1 true

#2 false

#3 true

#4 i need the choices

Answer the image below:
Qu.{4, 7, 9} U {4, 9, 12, 15}
A. {4,9}
B.{4,7,9}
C.{4,7,9,12,15}
D.{ }

Answers

Not sure but I’d like to say A
4,9 so the answer is A

If your bill at a restaurant is 36.77 and you want to leave a 20% tip how much $ should you leave for your tip? Round your answer to the nearest cent (nearest HUNDREDTH) as a decimal!

Answers

Answer:

$7.35

Step-by-step explanation:

36.77 Times (x) 0.2 (percentage)

7.354

round

$7.35

EX: If it was on 20% off and an item was 36.77 then you would also mutliply it and then subtract 7.35 from 36.77

!!Remember the last part is an example if it was a discount!!

Based on signal strength, a person knows their lost phone is exactly 47 feet from the nearest cell tower. The person is currently standing 23 feet from the same cell tower. What is the closest the phone could be to the person?

Answers

Since 47ft is the distance from cell tower it could only be 24ft or 70ft, closest implies the least of the two which is 24ft
Answer:  24 feet

=========================================================

Explanation:

It might help to draw out a diagram. Refer to the image below. Point A is the cell tower location. Point B is where the person is located. This is a birds eye view. Point B is on the smaller circle of radius 23 ft. The cellphone, which has unknown location, is somewhere on the larger circle of radius 47 ft.

The best case scenario is that the phone is on ray AB, which would make the phone to be 47-23 = 24 ft away from the person. This is the closest the phone could be.

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

Extra info:

On the flip side, the worst case scenario is that the phone is on the diametrically opposite side. This would mean the distance from the phone to the person is 47+23 = 70 ft. So the range of possible distances d is [tex]24 \le d \le 70[/tex]

how can you find the vertex of a parabola if you know it's focus and directrix? in my equation, the focus is (6,4) and the directrix is y=-2​

Answers

Answer:

The vertex would be (6,1)

Step-by-step explanation:

The vertex is the midway between the focus and the directrix. The X of the vertex would be the same but to get the Y of the vertex you would need to take the average of the Y values. (6, 4 + (-2)/2) (6,1)

Please help. I WILL GIVE BRAINLIEST!

Answers

Answer:

I think the answer is sales tax

Step-by-step explanation:

HELP ME IVE ASKED MANY TIMES :(
Two lines meet at a point that is also the vertex of an angle. Set up and solve an appropriate equation for x and y.

Answers

Answers

x = 90

y = 90-16=74

Step-by-step explanation:

A house was valued at $389,000. Over several years, the value increased by 18%, giving the house a new value. Write the new value in terms of the old value.
Write your answer as a decimal. Use your answer in part (a) to determine the new value.

Answers

Answer:

Is it your house? if not then don't worry about it

Step-by-step explanation:

Answer:

459,020

Step-by-step explanation:

18% is 70,020. Add that to the original number and there you go!

For a chess tournament, there needs to be 3 teachers for every 18 students. If there are 11 teachers, how many students can go to the chess tournament?
What is the constant of proportionality? You can think about this as 18 is how many times as much as 3.
Number of Teachers Number of Students
3
×
18
11

Answers

Step-by-step explanation:

Solution:

Given,

3 Teacher = 18 students

11 Teacher = X students ( let no. of student be x)

Now,

1 teacher = 18/3

= 6 students

So, If 1 teacher is there then 6 students can play chess.

again,

No. of teacher = 11

No.of students = X

Now,

X= No.of teacher × No.of students for 1 teacher.

= 11 × 6

= 66

So , 11 Teachers can handle 66 students.

There propotion is 11/66 = 1/6 = 1:6.

Answer:

1:6 is the answer

Step-by-step explanation:

can someone help me in this problem please :C

Answers

2/3? please im not einstien

Answer:

1/6 cu feet

Step-by-step explanation:

2/3 x 1/4 = 1/6 x 1 = 1/6 cu feet

Karen is planting 18 bushes and 12 trees in rows. If she wants all the rows to be exactly the same, with no plants left over, what is the greatest number of rows Karen can plant?

? rows

Answers

Answer: 6 rows

Explanation:
The greatest common factor of 18 and 12 is 6, so the answer is 6 because Karen doesn’t want any leftover plants.

Answer:6

Step-by-step explanation:

The LCM of those two

(this is 6th grade math) (((:​

Answers

The first answer is wrong.
First table(top left): y=2x
Second table(top right): y=x/3
Third table(bottom): y=3x-1
what the guy above me said

explain why 6^3x7^3=42^3 is correct.

Answers

Answer:

[tex] {6}^{3} \times {7}^{3} = {(6 \times 7)}^{3} = {42}^{3} [/tex]

Step-by-step explanation:

When two or more quantities have the same exponents, their bases can be multiplied together.

Because 6 x 6 x 6 is 216 and 7 x 7 x 7 is 343 if you multiply those two umbers together you will get the same answer as 42 x 42 x 42 which is 74,088

10 times what equals 12.5 pls help me, someone

Answers

1.25 x 10 = 12.5 I Would Like Something Good
The answer is 1.25.

Please try to help ASAP, thanks so much!!

The box plot below shows the total amount of time, in minutes, the students of a class surf the internet every day:

(Image below)

Part A: List two pieces of information that are provided by the graph and one piece of information that is not provided by the graph.

Answers

kids surf the internet for 35-60 minutes per day, the average is 52
the first person is right! sorry if I wasn’t really able to help:) good luck!!

i need help with this can someone help?

Answers

option second

Step-by-step explanation:

the probability of snow on Wednesday is -42%

2nd option) The probability of snow on wednesday is -42%

Explanation: As much I know, probability is never ever negative.. so no doubt opt B is wrong.

can ya'll help me pls

Answers

Answer:

The answer is 280 I believe or C but I think A

Step-by-step explanation: I'm not 100% though

10 ÷ 5 + 4 ( 72 - 6 )

Answers

Answer:

266

Step-by-step explanation:

Three siblings are born on the same date in consecutive years.
The sum of their ages is 42. What is the age of the oldest sibling?

A. 13
B. 14
C. 15
D. 16

Answers

Answer:

C.

Step-by-step explanation:

15+14+13=42

Hope this helps :)

The age of the oldest sibling is 15 years old.

What is consecutive number?

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.

Here, let the age of youngest sibling be x years

              the age of middle sibling be (x+1) years

              the age of oldest sibling be (x+2) years

According to question,

        x + (x+1) + (x+2) = 42

          3x + 3 = 42

           3x = 39

             x = 13

Thus, the age of the oldest sibling is (x+ 2) years = 15 years old.

Learn more about Consecutive number from:

https://brainly.com/question/864749

#SPJ2

What is the opposite of 12?
NEED HELP FAST

Answers

Answer:

-12

Step-by-step explanation:

The answer would be -12

PLEASE HELP WILL GIVE BRAINLIEST ANSWER WHOLE PAGE PLEASE!!

Answers

Answer: A: 4.5 hours

B: No, she won't catch up.

C: 21 miles/hour

IMPORTANT: Please don't just copy the answers from the top and read all the sections down below! You can always learn something new.

Step-by-step explanation (SHOULD READ):

Hello! I hope this will help:

Hector = H

Wanda = W

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

Distance of race = 42miles

[tex]V_{H} = 12miles/hour\\D_{H} = 42miles-18miles=24miles\\V_{W} = 16miles/hour\\D_{W} = 42 miles[/tex]

Vh = Velocity of Hector

Dh = Hector's distance to travel

Vw = Velocity of Wanda

Dw = Wanda's distance to travel

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

Now, let's solve these exercises!

A.

Write and solve an equation to find when Wanda will catch up to Hector.

The key words are the bolded words!

What do we have to find?

When Wanda..... Here we can see one thing: time

The word when indicates that we gotta find t (time).

catch up to Hector....

catch up indicates the fact that Wanda's position will be equal to Hector's position (Pos Hector = Pos Wanda)

And to Hector indicates position. Hector's position

So, at point A we gotta find the time that it would take for Wanda to catch up to Hector.

Wanda's speed (velocity) is greater (higher) than Hector's. Which means, after a definite amount of time, Wanda will catch up to him.

How to find the time it would take for Wanda to catch up to Hector?

Well, we gotta solve for time. We know their velocities, and their distance from eachother.

As we know, the formula for velocity is [tex]V=\frac{d}{t}[/tex]

That is Velocity = Distance divided by time.

We know: Distance, Velocity

So, we need to find the difference between our velocities. That way, we can know how faster you are than him, and in this case, Wanda than Hector.

Vwanda-Vhector = 16miles/hour-12miles/hour

The difference between their velocities is 4miles/hour.

That only means, that Wanda, every hour will walk 4 more miles, than Hector, because she's faster, obviously.

Velocity is 4miles/hour.

The distance will be the distance between the 2 children. That's 18 miles.

V = d/t

4miles/hour = 18miles/t

Let's calculate for t.

Multiply t on both sides.

4miles/hour * t = 18 miles * t / t

the time on the right side cancels out.

4 miles/hour * t = 18 miles.

divide 4 miles/hour on both sides.

4miles/hour * t / 4miles/hour = 18 miles / 4 miles/hour

the 4 miles/hour cancels out on the left side.

t = 18 miles / 4 miles/hour

the miles cancel out, remaining just the hour on the right side.

t = 18/4hours

t = 4.5 hours

If Wanda would travel for 4.5 hours, she will catch up to Hector!

And just like that, we solve A.

Let's move on B, shall we ?

B.

The question is: Will Wanda catch up to Hector before the race is complete? Explain.

Pretty easy.

So, the question asks if Wanda has enough time to catch Hector, before he actually wins.

We know that Wanda's time to catch Hector = 4.5 hours.

What we need to do?

We need to calculate the time it will take Hector to finish the race, and then we'll go to the next step.

Hector's distance to finish the race = 42 miles - 18 miles = 24 miles.

Hector has to go 24 more miles to win.

His velocity is equal to 12 miles/hour.

V = d/t

12 miles/hour = 24 miles / t

multiply t on both sides, and the t on the right side will cancel out.

12 miles/hour * t = 24 miles * t / t

12 miles/hour * t = 24 miles

divide 12 miles/hour on both sides, and on the left side it will cancel out.

12 miles/hour * t / 12 miles/hour = 24 miles / 12 miles/hour

t = 24 miles / 12 miles/hour

The miles will cancel out, on the right side.

t = 24 / 12 hours

t = 2 hours

Now , to finish point B:

Her distance =  42 miles

Her velocity = 16 miles/hour

Time = Distance/Velocity

Her time = 42 miles / 16 miles/hour

the miles will cancel out on the right side

Her time = 42 / 16 hours

Her time = 2.625 hours to reach the finish.

Let's quickly display their times :

Hector : 2 hours

Wanda : 2.625 hours

Wanda did not have enough time to finish.

Hector finished the race in 2 hours, and Wanda in 2,6 hours (aproximately) .

C.

Question: At what constant speed could Wanda travel to catch up with Hector at the finish line? Explain (boring)

At what velocity could Wanda travel at, to catch up Hector and win? That's the question.

Velocity of Hector = 12 miles/hour

Distance of Hector = 24 miles

Time of Hector = 2 hours

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

Velocity of Wanda = ? (The enough velocity to pass Hector)

Distance of Wanda = 42 miles

Time of Wanda  = ? (It isn't 2.6hours because if Wanda walks faster she would have a smaller time)

Wanda's time = Hector's time, because we want to get at the finish exactly when Hector is at it.

Wanda's time = 2 hours

V = d/t

V = 42/2

V = 21 miles/hour

Just like that.

If Wanda would travel on her bike with 21 miles/hour she would've cought up to her friend.

Hi again! I really hope I helped you and I hope I didn't make any mistake, altough I don't I did. Succes!

Find the surface area of the triangular prism.

Answers

I think it's 462.99, rounded it's 463

I’m pretty sure it is 406.56 but I’m not sure I just wanted to let you know :)

We have x tables and y chairs available for prom.
If we put 12 chairs at each table there will be 4 extra chairs with no table.
If we put 14 chairs at each table, one whole table will be empty and another will only have 6 chairs.
How many available tables and chairs do we have available for the prom.

Answers

Answer:

THE ANWSER IS 4

Step-by-step explanation:

Answer:

the answer is 4

Step-by-step explanation:

Some one pls help me this work is due in 39 minutes pls help me
Write two interges with different signs that have a sum of -25. Write two intergers with the same sign that have a sum of -25

Answers

Answer:

-5+-20=-25

5+-30=-25

Step-by-step explanation:

Riley goes to a store an buys an item that costs x dollars. She has a coupon for 10% off, and then a 8% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Riley paid at the register.

Answers

Answer:

0.972x

Step-by-step explanation:

x - 0.1x + 0.08(0.9x)

Converting percentages to decimals has you divide the percentage by 100.

So our first equation is full price minus a tenth of that price, leaves you with nine tenths, right? Then we multiply that nine tenths by 8 percent, which is 8 hundredths.

0.9x + 0.072x = 0.972x

answer is .927x
EZ (sorry if that’s rude)
i’m not good at math

A survey revealed that 20% of workers at a company were satisfied with their job. If 30 workers selected this option. How many total workers are at the company? Use the model below to help you solve the question.

Answers

Answer:

150 workers are at the company

Step-by-step explanation:

If 20% of the workers is equal to 30 workers than in order to find 100% of the worker you need to multiply the percentage with a number that makes it 100% and then multiply that number to the 30 workers so

20% * 5 = 100%

30 * 5 = 150

so 100% of the workers is equal to 150 workers

Adults and children attended the children's matinee on Saturday. Tickets for adults were $3 each, and tickets for children were $1 each. The theatre sold $114 worth of tickets. The function y = 114 - 3x represents the number of adult tickets x and childrens tickets y sold on Saturday. No links if I get links I’ll report you Juan will be sad<3

Answers

Answer:

just substitute 1, 2, 3, 4, and so on into the function and then you'll get your answer

Step-by-step explanation:

Please mark me brainliest

B) I think discrete
C) is say it was only adults because the y=114-3x Y represents children
X represent adults
38 x 3 = 144
Then subtract 144-144=0 which means there was no children

HELP PLEASE ILL GIVE BRAINLIEST

Answers

Answer:

8 books

Step-by-step explanation:

no.of books no.of weeks

2 3

x(say) 12

Now, using direct variation

[tex] \frac{2}{x} = \frac{3}{12} \\ \frac{2}{x} = \frac{1}{4} \\ x = 2 \times 4 \\ x = 8[/tex]

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