Suppose that $x,y,z$ are positive integers satisfying $x \le y \le z$, and such that the product of all three numbers is twice their sum. What is the sum of all possible values of $z$

Answers

Answer 1

The possible values of z is an illustration of the sum operator

The sum of all possible values of z is 17

How to determine the possible sum of z?

The conditions in the question are:

x <= y <= z

xyz = 2(x + y + z)

Using the trial by error method, the possible values of x, y and z are:

x = 1 , y = 3 , z = 8x = 1 , y = 4 , z = 5x = 2 , y = 2 , z = 4

The sum of the z values are:

z = 8 + 5 + 4

Evaluate the sum

z = 17

Hence, the sum of all possible values of z is 17

Read more about the sum operator at:

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Related Questions

Determine the scale factor

LMNO Became HIJK

Answers

Answer:

2

Step-by-step explanation:

The scake factor is 2

Answer is 2

What is the median of this data set? {12, 8, 9, 12, 10, 13, 8} Enter your answer in the box.

Answers

Answer:

the median is 10

Step-by-step explanation:

8, 8, 9, 10, 12, 12, 13

8, 9, 10, 12, 12

9, 10, 12

10

Answer:

10

Step-by-step explanation:

63.625 rounded to the nearest tenth

Answers

Answer:

63.6

Step-by-step explanation:

63.625

63.6

Answer:

63.6

Step-by-step explanation:

The tenth's place is one after the decimal point, and since 2 is closer to zero than ten, the 6 stays the same, making the answer 63.6.

Hopefully this helps- let me know if you have any questions!

which expression shows 48+36 written as a protuct of two factors

Answers

Answer:

12(4+3)

Step-by-step explanation:

Factor out all of the problems.

Starting with 4(12+4)

This means (4*12)+(4*4)

48+16 is the answer to this

this isn't 48 + 36

12(4+3) is next

12*4 = 48

12*3 = 36

48+36 = 48 + 36

Therefore 12(4+3) is your answer

hope that helps!

hope this is what your looking for

bro no one is helping??

Answers

Answer:

A-6 , B-19 , C-55 , D-119 , E-70

Step-by-step explanation:

Subtract 68 from 138 to find out how many 8th graders in total, and that will get you blank E.

Subtract 64 from 70 (E) to find out blank A.

Add 6 and 13 get the total for TV, blank B.

To get blank C, you need to subtract 13 from 68.

For the last blank, blank D, you need to add 55 (blank C) and 64, which will give you 119.

A little help please

Answers

Answer:

10

Step-by-step explanation:

2(3)+4 = 10

What is the mean for the following set of data, to the nearest whole number?

5, 9, 15, 18, 22

13
17
14
15

Answers

Answer:

the answer will be 14

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

Answer:

The mean is 14

Step-by-step explanation:

Mean = The sum of all Numbers Divided by the count of Numbers

In this case there are 5 numbers and adding them together = 69

69/5 = 13.8

Rounding up because it ends in above 5

= 14

What is the sum of all integers between square root of 8 and square root 113?
Answer: The sum is____

Answers

The integers between square root of 8 and square root 113 are the numbers without decimal points

The sum is 52

How to detemine the sum?

The square root of 8 is 2.82

The square root of 113 is 10.63

The integers between 2.82 and 10.63 are:

3, 4, 5, 6, 7, 8, 9 and 10

The sum of these integers is represented as:

Sum = 3 + 4+ 5+ 6+ 7+ 8+ 9 + 10

Evaluate the sum

Sum = 52

Hence, the sum is 52

Read more about integer sum at:

https://brainly.com/question/10853762

A rectangular garden is 15.m long and 10m broad. find its perimeter and area.​

Answers

Answer:

The perimeter is 50.

The area is 150.

Step-by-step explanation:

To calculate perimeter, add the length and width, then multiply the sum by 2.

( 15+10=25. 25*2=50 )

To calculate area, multiply the length and width.

( 15*10=150 )

Keith writes the numbers 1 to 20 on pieces of paper and places them in a hat.
the probability of randomly selecting a number less than 16 is 3/4 choose the
likelihood that best describes the probability of this event.

Answers

To get the answer use what you know divide it and use Algebra if you know any and also ask for help scan your math that’s what Brainly is for trust me

Answer:

Likely

Step-by-step explanation:

took the test

What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?

Answers

Answer:

x ≥ -2

Step-by-step explanation:

6x-2 ≥ 4x-6

2x ≥ -4

x ≥ -2

PLEASE RATE!! I hope this helps!!

If you have any questions comment below...

(I have verified this answer on an online calculator)

Select the correct answer from each drop-down menu. jordan is tracking a recent online purchase. the shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. the width of the box is seven inches less than the height. the volume of a rectangular prism is found using the formula v = lwh, where l is the length, w is the width, and h is the height. complete the equation that models the volume of the box in terms of its height, x, in inches. x2 - x = is it possible for the height of the box to be 15 inches?

Answers

Answer:

A. We are given that the length of the box is equal to 24 as indicted in the "24-inch long". From the given, it is also stated that the width of the box is 7 inches less than the height. If the height of the box is x, the width is then x - 7. The equation that would let us solve the problem is,

                           2880 = 24(x)(x - 7)

Simplifying,

                           2880 = 24x² - 168x

B. The value of x from the equation is 15. Thus, the answer is YES.

Step-by-step explanation:

a) The equation that models the volume of the box in terms of its height will be 2880 = 24x² - 168x.

b)Yes, it is possible for the height of the box to be 15 inches

What is volume?

Volume is the three-dimensional space bounded by a boundary or inhabited by an item.

The given data in the problem is;

L is the length of the box= 24-inch

V is the volume = 2,880 cubic inches.W

W is the width of the box

h is the height

Let the side of the box is x then volume V is found as;

V=LWh

2880 = 24(x)(x - 7)

2880 = 24x² - 168x

Hence the equation that models the volume of the box in terms of its height will be 2880 = 24x² - 168x.

b)Yes, it is possible for the height of the  box to be 15 inches

The value of x obtained from the equation is 15.

Hence yes, it is possible for the height of the  box to be 15 inches

To learn more about the volume refer to the link;

https://brainly.com/question/1578538

12 points
Will mark brainliest to who ever answers first

Answers

Answer:

80 pounds

Step-by-step explanation:

4
True or False: The probability of an event can be greater than 1.
A True
B False
<

Answers

Answer:

False

Step-by-step explanation:

probabilities are or are between 0 and 1

1 means complete certainty

toppr

Si Adrián tiene “x” años de edad, Teresa la tercera parte de Adrián, Isabel el doble de Teresa y Felipe el cuádruple de Adrián, ¿cuánto suman las edades de los cuatro? Selecciona el inciso correcto.

Answers

the answer is ISABELLA YOUR BOYFRINDS HERE

a rectangle is 9 meters long and the area is 72 square meters what is the perimeter

Answers

Answer:

Area = length × width

72 = 9 × width

8 = width (9 × 8 = 72)

pertinter = length + width + length + width

= 9 + 8 + 9 + 8

perimeter = 34

Answer:

perimeter: 34 m

Step-by-step explanation:

length : 9area : 72

width * length = area

width * 9 = 72width = 72/9width = 8 m

perimeter:

2 ( length + width )2 ( 9 + 8 )34 m

i need help fast pls

Answers

Answer:

Answer:

SORRY

Step-by-step explanation:

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Anyone know the answer?

Answers

Answer:

Positive

Step-by-step explanation:

Negative over a negative cancel out and become positive.

What is the length of the radius? startfraction 6 over 85 endfraction startfraction 85 over 12 endfraction startfraction 121 over 36 endfraction startfraction 157 over 12 endfraction

Answers

The length of the radius will be 22 units.

What is the radius?

The radius of a circle is defined as the distance of the center of the circle to its outer layer. It is a locus of a point present at some distance from the center point.

Now from the question, we have an expression:

[tex]r=(\dfrac{6}{85} )\times(\dfrac{85}{12} )\times (\dfrac{121}{36} )\times (\dfrac{157}{12} )[/tex]

By solving the above equation we get

[tex]r=(\dfrac{18997}{864} )[/tex]

[tex]r=22[/tex]

Hence the length of the radius will be 22 units.

To know more about radius follow

https://brainly.com/question/24375372

Answer:

85/12

Step-by-step explanation:

Players heights:
72, 75, 78, 72, 73.
What is the range of
heights?

Answers

Answer:

6

Range is calculated by substracting smallest value but highest value.

Please give brainliest.

A bag contains 12 toffees. Kate eats 3 toffees and Josh eats 4 toffees.
What fraction of the toffees are left?

Answers

Answer:

5/12

Step-by-step explanation:

3 + 5 = 7

12/12 - 7/12 = 5/12

Answer:

total toffees=12

remaining toffees=12-(4+3)

=12-7

=5

fraction of toffees left

= 5/12

∠A and ∠B are supplementary. The measure of ∠A is 96°. What is the measure of ∠B? Enter your answer in the box. °

Answers

Answer:

∠B = 84

Step-by-step explanation:

Supplementary angles add up to 180°, You would subtract 96 from 180 to find angle B.

Answer:

=> ∠B = 84

Step-by-step explanation:

Given :

∠A + ∠B = 180°

∠A = 96°

=> 96° + ∠B = 180

=> ∠B = 180-96

=> ∠B = 84

HELP PLEASE ASAP I WILL MARK BRAINLIEST

Answers

Answer:

BC = 24

Step-by-step explanation:

FD = 36, FE = 15 and CD = 18

By secant theorem.

DE DF = CD DB

(36 - 15) 36 = 18 DB

DB = 42

BC = DB - CD

BC = 42 - 18

BC = 24

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

what is AxBxD and A=130 B=300 and D=? and when do the multiplication do the answer x 900 and than we are done :)

Answers

The answer is 35,100,000

hat is the value of x in the equation −x = 3 − 4x + 15? −18 −6 6 18

Answers

I believe that x is equal to 6. x=6

Hunter wants to make money over the summer by selling lemonade. he has $50 in savings. he spends $20 on a pitcher and reusable cups. doing the math, he realizes that sugar, lemons, and water will cost $.75 per serving. what is the greatest number of cups that can be made before hunter runs out of his budget?

Answers

Hunter can make a total of 40 cups before he runs out of budget.

How much money does Hunter have to make lemonade?

We know his total budget was $50 but he already spent $20 on a pitcher and cups.

$50 - $20 = $30

This means the total of money just for the lemonade is $30.

How many lemonade cups can he make?

To find this number divide the budget for lemonade by the cost of a lemonade cup $0.75.

$30 / $0.75 = 40

Based on this, the total of cups he can make is 40 cups.

Learn more about budget in: https://brainly.com/question/15712390

How can I know when a function is unfunctional?

Answers

Answer

When a input uses two outputs, say we have

5,6

5,8

3,4

6,2

9,1

Notice how 5 uses two instead of one meaning the function is unfunctional

Step-by-step explanation:

Which equation could John solve to find w, the greatest width in centimeters he can use for the mosaic? w(w – 2) = 48 w(w 2) = 48 2w(w – 2) = 48 2w(w 2) = 48.

Answers

The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic, is w(w + 2) = 48.

What is the area of a rectangle?

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

The area of the tile is 48 square cm. John wants to make the mosaic with this tile having the length 2 cm longer than the width.

Let suppose the width of the rectangle mosaic is w cm. Thus the length of it is,

[tex]l=w+2[/tex]

As the area of a rectangle is the product of its length and width and Tte area of the tile is 48 square cm. Thus,

[tex]48=(w+2)\times w\\48=(w+2)w\\[/tex]

The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic is

[tex]w(w + 2) = 48[/tex]

Learn more about the area of rectangle here;

https://brainly.com/question/11202023

Answer:

B. w(w + 2) = 48

Step-by-step explanation:

I just took the quiz.

Have the day you deserve :)

Dylan owns a bag that contains 7 blue marbles, 5 purple marbles, 12 red marbles, and 6 orange marbles. If he randomly pulls a marble from the bag, What is the probability of him pulling a red marble? What is the probability of him pulling a blue or purple marble?

Answers

Answer:

The probability of him pulling a red marble is 12 to 30. The probability of him pulling a blue or purple marble is also 12 to 30.

Step-by-step explanation:

7+5+12+6=30 (all colors)

12 to 30 red ones

7+5+12+6=30 (all colors) and

7+5=12 (blue + purple)

12 to 30 blue or purple

25 Points!! What is the volume of the prism 1 1/2ft 3 1/2ft 2 1/2 ft? Please answer when you have the time to.

Answers

Answer:

The first one: 13.125 ft³

The second one: 67.5 ft³

Step-by-step explanation:

For the first one:

The volume of a prism is length x width x height.

So, in this shape, the length is 3 1/2, the width is 2 1/2, and the height is 1 1/2.

However, you can conver 1/2 to .5, to make it easier to multiply.

So, 3.5 x 2.5 x 1.5 = 13.125

Make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3  dimensional.

For the second one, same formula:

Length = 6, width = 2 1/2, and height = 4 1/2

6 x 2.5 x 4.5 = 67.5

Again, make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.

Answer:

13.125 [tex]ft^{3}[/tex]

Step-by-step explanation:

Volume is base * length * height.

In this case, the dimensions are 1.5, 3.5, and 2.5.

Assuming these values are the base, length, and height,

1.5 * 3.5 * 2.5 = 13.125 [tex]ft^{3}[/tex].

Also, using the volume formula, the bottom shape's volume is 67.5 [tex]ft^{3}[/tex].

Hope this helps!

Also, please mark as brainliest!

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