B) Three two-digit integers have a mean average of 16 and a range of 16. The median of the integers is 12. If all three integers are even and all are different to each other, what are the 3 numbers?

Answers

Answer 1

Answer:

The three numbers are 10,12 and 26

Step-by-step explanation:

For the average of the numbers to be 16; it means that the sum of all the numbers will be:

3 * 16 = 48

If the median is 12, it means the middle number is 12

For the range to be 16, the difference between the highest and smallest number is 16

if the lowest is x, then the highest will be (x + 16)

So, if we added these and 12, we get 48

Thus;

(x + 16) + x + 12 = 48

2x + 28 = 48

2x = 48-28

2x = 20

x = 20/2

x = 10

Then, the last number will be x + 16 = 10 + 16 = 26

So, the three numbers are 10,12 and 26


Related Questions

Solve for x in the picture below

Answers

Answer:

x = 16

Step-by-step explanation:

The sum of the exterior angles of a triangle = 360°

Sum the exterior angles and equate to 360

5x + 12 + 10x - 37 + 9x + 1 = 360 , that is

24x - 24 = 360 ( add 24 to both sides )

24x = 384 ( divide both sides by 24 )

x = 16

Answer:

x = 15

Step-by-step explanation:

The sum of angles in a triangle is 180deg.

Let's mark the measures of the internal angles as A, B and C.

We know that

A + B + C = 180deg

180deg - A + 180deg - B + 180deg - C = (9x + 1)deg + (5x + 12)deg + (10x - 37)deg

3*180deg - (A + B + C) = (24x - 24)deg

540deg - 180deg = (24x - 24)deg

360deg = (24x - 24)deg

360 = 24x - 24

384 = 24x

15 = x

Evaluate the expression when a = 3.

2a =

Answers

Answer:

6

Step-by-step explanation:

replace a by 3

when a=3

2(3)=6

the volume of a right circular cone is 9picm 2 with a height of 3cm. find the length of the radius

Answers

Step-by-step explanation:

The answer is 3 cm .

I hope it helps you

The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the phone is used each month.

The table shows that as more minutes are used each month, the total monthly cost will increase at the same rate. Assuming that this is true, what is the total monthly cost for the cell phone if it is used for 2,500 minutes?

Answers

Answer:
The total monthly cost would be $214

explanation:
They gave us 1,250, which is half of 2,500. multiplication:
1,250 = 2,500
107 = x
2 × 1,250 = 2,500
2 × 107 = 214
Therefore, the total monthly cost if the cell phone is used for 2,500 minutes is $214.

May someone please help me with this:)

Answers

Answer:

i think its 64

Step-by-step explanation:

Volume of a cylinder is V=pi(r)2h

Radius =2.
Height =4.
Pi=3.14.

V= 3.14(2)2(4).

Volume = 50 .24 cm^2

In this problem a,b,c and d are nonzero integers. If a/b is added to x, the sum is c/d. Which statement can be used to prove that x must be a rational number.

A= x=cb-ad/bd B= x=cb+ad/bd C= x=c-a/d-b D= x= c+a/d-b

Answers

Answer:

x=cb-ad/bd

Step-by-step explanation:

The statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd

Prove of rational number

Given nonzero integers:

a, b, c, d

If a/b is added to x

a/b + x

the sum is c/d

a/b + x = c/d

prove x to be a rational number

a/b + x = c/d

subtract a/b from both sides

a/b + x - a/b = c/d - a/b

x = c/d - a/b

x = (cb - ad) / bd

Therefore, the statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd

Learn more about rational number:

https://brainly.com/question/12088221

can i get some help please i would really appreciate it ;)

Answers

A. They go on forever

Kris is performing an experiment in math class using a bag of colored
blocks. He will draw one block out of the bag at a time and record its
color. He has three blue blocks, two red blocks, and one green block.
Which of the following represents the sample space of the bag?
1) blue, blue, blue
2) red, green, blue
3) blue-red, blue-green, red-green
4)blue, blue, blue, red, red, green

Answers

Answer:

The answer is red, green, blue.

Step-by-step explanation:

PLEASE ANSWER!!!

A. 4x+2=70+35

B. 4x+72=180

C.180=4x+107

D. 180=109x+2

Answers

Answer:

c

Step-by-step explanation:

its c , absolutely.............

Answer:

C * 180 = 4x + 107

Step-by-step explanation:If you add all sides by each other all you would do next is add the 4x to get your 180

Please help me with this question!

Answers

Answer:

9 plates and mugs

He could buy 9.375

but you cant buy a portion of a plate so you buy 9

questions 13 & 14 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!

Answers

13: answer is x= —4
14: answer is x= 1/3, x= 2

Is 36a + 24 equivalent to 4(9a + 6)



True

False

Answers

Answer:

True!!

4(9a+6) using the distributive property is  36a+24

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

We have a 4, next to an (.

We multiply the four.

[tex]4[/tex]×[tex]9a[/tex]

4×[tex]6[/tex]

= 36a+6

2. What is the value of x?

Answers

Answer:

x = 5

Step-by-step explanation:

The total degrees in a 4 sided polygon is 360°

360° = 51° + 51° + 2(28x - 11°)

56x - 22° + 51° + 51° = 360°

56x = 280°

x = 5

What is the difference of (3/4x - 2/3) - (-5/6 + 2x) ?

-5/4x + 1/6
-5/4x - 1/6
-11/4x + 1/6
-11/4x - 1/6​

Answers

Answer:

first option is correct

look at given picture

what is the slope of the line below?

Answers

Answer:

1/2

Step-by-step explanation:

To find slope just compare two points on the graph and then put them into fraction form like so y/x

What is the length of the hypotenuse?
18 cm
6 cm
(not drawn to scale)
360 cm
B 6 10 cm
А
144 cm
D 216 cm

Answers

Answer:

B

Step-by-step explanation:

just use pyth then you'll get the answer

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

let h be the hypotenuse, then

h² = 6² + 18² = 36 + 324 = 360 ( take the square root of both sides )

h = [tex]\sqrt{360}[/tex]

   = [tex]\sqrt{36(10)}[/tex]

   = [tex]\sqrt{36}[/tex] × [tex]\sqrt{10}[/tex]

   = 6[tex]\sqrt{10}[/tex] → B

A local drive-in theatre sells entrance tickets for cars on weekend nights. At capacity, the drive-in can hold 72 cars. The function C(n) =25n represents the drive in's revenue on a weekend night, where n represents the number of cars. in this situation, what is the domain of c(n)?

Answers

Answer:

Domain is: 0 ≤ n ≤ 75 where n is an integer

Step-by-step explanation:

The head of a carriage bolt is circular, as shown. The head of this bolt has a diameter of 20 millimeters.

Which measurement is closest to the area of the head of this bolt in square millimeters?

A. 1,256 square millimeters
B. 63 square millimeters
C. 314 square millimeters
D. 31 square millimeters

Answers

The answer is A. 1,256 square millimeters hope this helps

A line, y = mx + b, passes through the point (1, 6) and is parallel to
y = 4x + 6. What is the value of b?

Answers

Answer:

Step-by-step explanation:

Let the line to be found be Line 2

Given:

Line 1 :

y = 4x + 6

Since y = mx + b

We can substitute and find that the slope of Line 1 is 4

Therefore slope of Line 2 = (4)

Line 2:

Point - (1,6)

Slope - 4

Therefore: 6 = (4)(1) + b

So equating it we get : b = 2

Answer = 2

PLEASE help it’s due today at 10pm

Answers

Sorry bro its past 10pm now, hope you figured it out

using this distribution find the probability that a teenager has 3 or fewer pairs of shoes in their closet(answer in decimal form)​

Answers

Correct me if I’m wrong

Answer:

.7

Step-by-step explanation:

(2r^2t ^3)^2
4t^2
explain what you would do first to simplify the expression below.

Answers

Answer:

first expand the brackets

The box plot represents this data set
20,25,30,38,40,42,45,50,65,70
what value does the letter E represent on the box plot of the data?

I------------| | |-----------|
A B C D E

Answers

Answer:

Step-by-step explanation:

In your diagram, E appears to be the MAXIMUM value of the data (70).

pls help i need to pass algebra 2 THANK U SO MUCHHHH

Answers

I think it is 96k hope this helps


Write 2 19/20as a decimal.
20
X

Answers

Answer:

2.95

Step-by-step explanation:

edge 2020

p.s. pls mark brainliest, and have a good day! :)

WILL CROWN BRAINLIEST!!! ALGEBRA!
Max and Maggie have to clean the house. It takes Max 9 hours to clean the house, while Maggie can complete the task in 4 hours. Their sister says that it will take 3 hours to complete if they work together. Explain each step in solving this equation, and determine if the sister is correct or not.

Answers

Answer:

3 hours

Step-by-step explanation:

Max cleans the house in 12 hours

Max in 1 hour cleans: 1/12 part of the house

Maggie cleans the house in 4 hours

Maggie in 1 hour cleans: 1/4 part of the house

In 1 hour they together do: 1/12 + 1/4 = 1+3/12 = 4/12 = 1/3 work

1 hour===1/3 work

X hours== 1 work

X/3 = 1

X = 3 hours.

Hence, they together complete the work in 3 hours.

And so, the sister is correct.

Hope it helps.

please help, no links, will give brainiest

Answers

Answer:

? = 20

Step-by-step explanation:

Since the figures are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{12}{15}[/tex] = [tex]\frac{?}{25}[/tex] ( cross- multiply )

15 ? = 300 ( divide both sides by 15 )

? = 20

Ursula picks carrots and radishes from her garden. She picks 4/1/4 pounds of carrots and 1/3/4 pounds of radishes.How many more pounds of carrots does she pick than radishes.

Answers

Answer:

2 1/4

Step-by-step explanation:

[tex]4\frac{1}{4} - 1\frac{3}{4}[/tex]

[tex]3\frac{1 - 3}{4}[/tex]

[tex]2\frac{4-3}{4}[/tex] = 21/4

Graph the functions y=4^x+4-4 and y=4^x describe the translation in words between these two functions starting from y=4^x to y=^x+4-4.

Answers

Answer:

The two graphs are on the same place.

The translation from the first one to the second one implies a shift upwards of 4 units, and then a shift downwards of 4 units, resulting in the starting position.

HELP FAST giving 5 stars

Answers

Answer:

The red is 1/3 and yellow is 1/4

Step-by-step explanation:

there are 3 colors and 1 of them is red so 1/3 same goes to the yellow 4 colors and  is 1 yellow so 1/4

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