Make a magic square using only first nine odd numbers: 1, 3, 5, 7, 9, 11, 13, 15, 17. (In a magic square, the numbers in each row, in each column, and along each diagonal have the same sum.)

Answers

Answer 1

Answer:   [tex]\left[\begin{array}{ccc}11&13&3\\1&9&17\\15&5&7\end{array}\right][/tex]

Step-by-step explanation:

A magic cube is something like:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

Where the numbers that we must use are:

1, 3, 5, 7, 9, 11, 13, 15, 17

If we take the addition of those 9 numbers, we get 81.

Now, we divide it by 3 (the number of numbers in each row or column) and get:

81/3 = 27

so the sum in each row, column and diagonal must be 27.

1 + 9 + 17 = 27

13 + 11 + 3 = 27

5 + 7 + 15 = 27

9 + 13 + 5 = 27

You can keep playing with this, and then start forming our number cube, some of the hints tat we can use is that the median of the group is 9, so it must be in the middle of the cuve, and the extremes, 1 and 17, must be in the same column or row as 9.

so we start with:

[tex]\left[\begin{array}{ccc}x&x&x\\1&9&17\\x&x&x\end{array}\right][/tex]

and start to fill the empty spaces, now we can use that

1 + 11 + 15 = 27 and get:

[tex]\left[\begin{array}{ccc}11&x&x\\1&9&17\\15&x&x\end{array}\right][/tex]

now for the diagonals:

11 + 9 + 7 = 27

15 + 9 + 3 = 27

[tex]\left[\begin{array}{ccc}11&x&3\\1&9&17\\15&x&7\end{array}\right][/tex]

and for the last one:

11 + 3 + 13 = 27

15 + 7 + 5 = 27

[tex]\left[\begin{array}{ccc}11&13&3\\1&9&17\\15&5&7\end{array}\right][/tex]


Related Questions

The cube root of 24.

Answers

Answer:

2.88449914

Step-by-step explanation:

What is x value?? :D

Answers

Answer:

x=6

Step-by-step explanation:

You can reach this answer by doing

4+(x-3) = 2x-5

If you do this equation you will get 6 as your answer.

Hope this helps :)

A right rectangular prism has a length of 2 and 1/2 ft a width of 3ft and a height of 1 and 1/2. Unit cubes with side lenghts of 1/2 ft are added to completely fill the prism with no space remaining. What is the volume in cubic feet of the rectangular prism?

Answers

Description:

Formula:  length * width * height    (L*W*H)

volume of larger prism

vp=45/4 ft^3 =11.25

vs=1/2*1/2*1/2

vs=0.125 ft^3

n=vp/vs

n= 11.25/.125

n=90

Answer: 90 smaller cubes will completely fill in the prism

Please mark brainliest

Hope this helps.

2000 soldiers stand in a row. Beginning from the left, each soldier calls out a number, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, and so on. Beginning from the right, each soldier calls out a number 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, and so on. How many of these soldiers call out a number 3 when beginning from the left and right??

Answers

Answer:

The number of soldiers that call out a number 3 is 666 soldiers

Step-by-step explanation:

The parameters given are;

Number of soldiers = 2000

Soldiers calling from the left = 1, 2, 3,.....

Soldiers calling from the right = 1, 2, 3,.....

Therefore, since the number soldiers calling out the number 3 are 1 in 3 from the left and 1 in 3 from the right, we split the soldiers into 2 groups of 1000, with one group calling from left and the other group calling from the right;

The number of 3s in called out in the first group from the left is therefore;

1000/3 = 333.33 which is 333 soldiers  or from the 3rd soldier to the 999th soldier

Similarly the number of 3s called out from the second group = 333

Hence the total number of soldiers that call out a number 3 = 333 + 333 = 666 soldiers.

On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (1, negative 6), (5, negative 6), (6, negative 2), and (0, negative 2). Polygon A double-prime B double-prime C double-prime D double-prime has points (1.5, 4), (3.5, 4), (4, 2), and (1, 2). What steps would you take to determine if these figures are similar? Check all that apply. Use a scale factor of 2. Multiply the vertices of polygon ABCD by One-half. Translate the intermediate image 4 units down. Perform two different dilations. Reflect the intermediate image.

Answers

Answer:

B and E

Step-by-step explanation:

edge 2021 (??)

What steps would you take to determine if these figures are similar? Check all that apply.

Use a scale factor of 2.

Multiply the vertices of polygon ABCD by One-half.

Translate the intermediate image 4 units down. - CORRECT

Perform two different dilations.

Reflect the intermediate image. - CORRECT

If point B is reflected across the y axis, what are the coordinates of the new point?
(-3,2)
(-2,-3)
(-2,3)
(3,-2)

Answers

Answer: (3,-2)

Step-by-step explanation: We're reflecting to the y-axis, thus, we're going to reflect to the right.

(-x,-y) ⇒ (x,-y)

Our current coordinate is (-3,-2)...let's convert it now...

(3,-2)

I hope this helps!

Answer:

(3, -2).

Step-by-step explanation:

When you reflect across the y axis the y coordinate stays the same and the x axis changes sign : (x, y) --> (-x, y).

So B (-3, -2) --> (3, -2).

Can someone explain how $3.79 x 2 =$7.58 is equivalent to $7.58/2=$3.79

Answers

Answer:

ehhrr idk

Step-by-step explanation:

Answer:

Because 7.85/2 mean that you are diving the top by the bottom so that would give you the answer of $3.79, I hope I answered your question how you wanted it to be I am sorry if I didn't

Step-by-step explanation:

Find the slope of the line that goes through the points (12,-12) and (-3,13).

slope,m=________

Enter your answer as an integer or a reduced fraction in the form A/B

Answers

Answer:

-5/3

Step-by-step explanation:

The slope of a line is found by

m = (y2-y1)/(x2-x1)

   = (13- -12)/(-3 -12)

   = ( 13+12) / (-15)

     25/-15

    -5/3

The right answer is -5/3

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

7×10^-5
answer this ​

Answers

Hi! So we have to use the Order of Operations, aka PEMDAS so it's:

Parentheses

Exponents

Multiplication/Division

Addtion/Subtraction

Exponent comes first so we'll deal with that. 10^-5=0.00001

And then 7*0.00001=0.00007

a circle has a radius of 48 millimetres. What is the arc intercepted by a central angle that measures 3pi/4 radians? express your answer in terms of pi

Answers

Answer:

3π/4

Step-by-step explanation:

Another car is 4 years old And has been valued at 2600

Answers

Answer:

Step-by-step explanation:where is the rest of the question

For f(x)=3x+1 and g(x)=x^2-6, find (f•g)(x).

Answers

Answer & Step-by-step explanation:

When we see (f * g)(x), it means that we are going to be multiplying f(x) and g(x) together.

f(x) = 3x + 1

g(x) = x² - 6

(3x + 1)(x² - 6)

Multiply each term from the first parentheses to the second parentheses.

3x³ - 18x + x² - 6

Combine like terms and make sure the expression is in standard form.

3x³ + x² - 18x - 6

So, your answer will be letter choice B.

It costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.)

Answers

Answer:

$4.76

Step-by-step explanation:

It costs $2.80 to make a sandwich at the local deli shop and the deli sells it at a price that is 170% of the cost.

We have to find 170% of the cost of making each sandwich ($2.80):

170/100 * 2.80 = $4.76

The sandwich sells for $4.76

Answer:

ben

Step-by-step explanation:

Jonathan’s family took a road trip to the Grand Canyon.Jonathan fell asleep after they had travelled 260 miles. If the total length of the trip was 400 miles,what percentage of the total trip had they travelled when Jonathan fell asleep??

Answers

Answer:

Step-by-step explanation:

for 140

miles he had slept

PLEASE HELPP ME FAST!!!!! solve for x. Show your work -1/2x < -12

Answers

Answer:

-1/2x<-12

Multiply through by 2

-x < -24

Multiply through by -1

x > 24

Hope this helps.

Please help, URGENTTTT
A circle is the collection of points in a plane that are the same distance from a given point in the plane. A. True B. False

Answers

The answer to this question is true
The answer is A. True

Which statements are true? SELECT ALL THAT APPLY

Answers

Answer:

C

Step-by-step explanation:

AC & BC are adjacent sides.

If two sides share a vertex, then they are adjacent sides

PLSSSSSS HELP!!!!!!!
Jamie has two similar rectangular boxes. If the sides of one box are three times the lengths of the corresponding sides of the other box, which one of the following is true?

a. The volume of one box is 3 times the volume of the other.

b. The volume of one box is 6 times the volume of the other.

c. The volume of one box is 9 times the volume of the other.

d. The volume of one box is 27 times the volume of the other.

Answers

Answer:

B

Step-by-step explanation:

(There  is 2 sides.)

It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In half an hour, the bucket is 3/5 of the way full. What is the rate at which the water is leaking per hour?

Answers

Answer:

Rate = 3/5 bucket / 1/2 hour

= 6/5 or 1 1/5 buckets per hour

Summer Grade 6 PBL 1 Pre-Assessment
1 According to a survey conducted by the Texas Free Press, 125 out of 500 people do not
have internet access at their homes. What percent of the people surveyed do have
internet access at their homes?
I
А
12.5%
B
25%
с
37.5%
D
75%
Tyne here to search
BI
E
12

Answers

B. 25% because 125 divided by 500 is 0.25

Find the solution of ×\2-1/5=×\3+1/4 please help me with this​

Answers

Answer:

[tex]x=\frac{27}{10}[/tex]

Step-by-step explanation:

Assuming that the beginning equation is [tex]\frac{x}{2} -\frac{1}{5} =\frac{x}{3} +\frac{1}{4}[/tex]

First, we should find the common denominator of each of fractions. For all of these denominators, 60 is the smallest common denominator

[tex]\frac{x}{2}(\frac{30}{30}) -\frac{1}{5}(\frac{12}{12}) =\frac{x}{3}(\frac{20}{20}) +\frac{1}{4} (\frac{15}{15}) \\\\\frac{30x}{60}-\frac{12}{60} =\frac{20x}{60}+\frac{15}{60}[/tex]

Now, we can multiply each side by 60, which will remove the fractions

[tex]30x-12=20x+15[/tex]

Now we can add 12 to each side

[tex]30x=20x+27[/tex]

Now subtract 20x from each side

[tex]10x=27[/tex]

And lastly, divide each side by 10

[tex]x=\frac{27}{10}[/tex]

The diagram shows two joined rectangles. The total area of the compound shape ABCDEF is 36 cm^2. By considering the areas of the two rectangles, show that
2x^2 - 5x - 18 = 0 and hence find the value of length AB.

Answers

Answer:

The value of AB is 9/2 or 4.5

Answer:

4.5 cm

Step-by-step explanation:

The total area is the sum of areas of two rectangles:

x(x-4)+3x(x-2)=36x²-4x+3x²-6x-36=04x²-10x-36=02x²-5x-18=02x²-9x+4x-18=0x(2x-9)+2(2x-9)=0(x+2)(2x-9)=0x+2=0 ⇒ x= -2  discarded as negative2x-9=02x=9x=4.5AB=4.5 cm

Find the values of the six trigonometric functions for angle θ, when AC = 26 and BC = 24.

Answers

Answer:

See below

Step-by-step explanation:

The first step is to find the length of AB. By the Pythagorean Theorem:

[tex]AB=\sqrt{26^2-24^2}=\sqrt{676-576}=\sqrt{100}=10[/tex]

Now, you can proceed:

[tex]\sin \theta= \dfrac{24}{26}=\dfrac{12}{13} \\\\\\\cos \theta= \dfrac{10}{26}=\dfrac{5}{13} \\\\\\\tan \theta= \dfrac{24}{10}=\dfrac{12}{5} \\\\\\\csc \theta= \dfrac{13}{12} \\\\\\\sec \theta=\dfrac{13}{5} \\\\\\\cot \theta=\dfrac{5}{12}[/tex]

Help im lazy im looking for h

Answers

Answer: h = -13

Step-by-step explanation: To get the answer for h all we have to do is....

78 ÷ -6 = -13

Let's check our work....

-6 x -13 = 78

I hope this helps!

Answer:

h= -13

Step-by-step explanation:

To solve the equation, we want to find out what h is. In order to do this, we have to get h by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-6h=78

h is being multiplied by -6. The opposite of multiplication is division. Divide both sides by -6.

-6h/-6=78/-6

h=78/-6

h= -13

Let's check our solution. Substitute -13 back in for h in the original equation.

-6h=78

-6(-13)=78

Multiply

78=78

Since both sides of the equation are the same, we know that the correct answer is h= -13.

solve for x
possibly answer

12
-7
5
-6​

Answers

Answer:

12 is the answer. cause 5×12 is 60 and the missing angle is 60 degrees

what is the value of the expression why y=2

Answers

Answer:

Where’s the problem

Step-by-step explanation:

How much is one gram into ounces?​

Answers

Answer:

1 gram is 0.035274 in ounces

Answer:

It would be about 0.035274

Step-by-step explanation:

For an approximate result, divide the mass value by 28.35

Hope this helps

Carla has $1560 in a savings account that pays 2.5% simple interest. How much interest is earned in 3 years? b) How much money is in her savings account at the end of 3 years?

plz show work

Answers

Answer:

a)  The  interest is earned in 3 years = 112.5

b) The total amount earned at the end of 3 years = 1672.5 rupees

Step-by-step explanation:

Given Carla has $1560 in a savings account that pays 2.5% simple interest

Interest = 1560 × 2.5 %

             = 1560 × 0.025

            =  37.5

The interest for one year = 37.5

The  interest is earned in 3 years = 112.5

b) The total amount earned at the end of 3 years

                               = Amount + interest

                               = 1560 + 112.5

                             = 1672.5

The value of b when solving the equation 2 (6 + 12) = 16 is:

Answers

Answer:

Step-by-step explanation:

2(6+12)=16

2 X 6 +  2  X  12

12     +     24

       26  =  16

HOPE U GE5T IT

What does Arc CDE describe?

a minor Arc

a major Arc

a semicircle

a chord

Answers

Answer:

I believe it's major arc

Step-by-step explanation:

Second option on edge

Answer:

b

Step-by-step explanation:

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