1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Archy [21]
3 years ago
6

What expression must the center cell of the table below contain so that the sums of each row, each column, and each diagonal are

equivalent?
  x       8x      -3x
-2x      ?        6x
7x      -4x       3x
Mathematics
1 answer:
sergey [27]3 years ago
5 0
Oh, I adore magic squares!

We need all rows to be equivalent, so try adding up the bottom (complete) row to get 7x-4x+3x=10x-4x=6x.

To solve the middle number, we have -2x+X+6x=6x, so X=2x.
To solve the top number, we have X+8x-3x=6x, so X=6x-8x+3x=x

Now check first column, 
x-2x+7x=6x   ok
Second column
8x+2x-4x=6x  ok
Top-right to bottom-right diagonal: x+2x+3x=6x, ok   
Bottom-left to top right diagonal: 7x+2x-3x=6x

So everything is ok!
You might be interested in
Two different radioactive isotopes decay to 10% of their respective original amounts. Isotope A does this in 33 days, while isot
Molodets [167]
It should be c cause I just took the test
4 0
3 years ago
Read 2 more answers
Is it possible for a simple, connected graph that has n vertices all of different degrees? Explain why or why not.
ryzh [129]

Answer:

It isn't possible.

Step-by-step explanation:

Let G be a graph with n vertices. There are n possible degrees: 0,1,...,n-1.

Observe that a graph can not contain a vertice with degree n-1 and a vertice with degree 0 because if one of the vertices has degree n-1 means that this vertice is adjacent to all others vertices, then the other vertices has at least degree 1.

Then there are n vertices and n-1 possible degrees. By the pigeon principle there are two vertices that have the same degree.

8 0
3 years ago
What is the quotient of -3/8 and -1/3?
OverLord2011 [107]
(-3/8) / (-1/3)
= (<span>-3/8) x (-3)
= 9/8
= 1 1/8</span>
7 0
3 years ago
The table below shows the relative frequencies of the color of cars bought last month by males and females. Which percentage rep
frozen [14]
The first thing we must do for this case is to observe the highest relative frequency of the table in the total column.
 For the white car we have:
 Male = 0.11
 Female = 0.20
 Total = 0.31
 The percentage is given by:
 (0.31) * (100) = 31%
 Answer:
 
The percentage that represents the car bought most often is:
 
31%
5 0
4 years ago
What decimal is equivalent to 21% ?
makkiz [27]
...it’s 0.21 because 21% is 21/100 which makes it 0.21
7 0
3 years ago
Read 2 more answers
Other questions:
  • Which compound most likely contains polar covalent bonds?<br> NaCl<br> AlF3<br> Br2<br> NF3
    7·2 answers
  • 0.008 times what equals 0.08
    14·2 answers
  • Find the roots and simplify the expression. <br><br>216^1/3 - 125^1/3​
    10·1 answer
  • Solve the system using elimination<br><br> x + 2y = 1<br> 4x + y = 11
    7·1 answer
  • What are the points that are solutions to the linear function graphed here.
    7·1 answer
  • What is the opposite of the opposite of -2
    13·1 answer
  • A deck of cards contains RED cards numbered 1,2,3,4,5 and BLUE cards numbered 1,2. Let R be the event of drawing a red card, B t
    10·2 answers
  • The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are
    7·1 answer
  • The camp cook made 3 3/5 pots of chicken soup. Each serving of soup is 2/5 of a pot. How many servings of chicken soup did the c
    10·1 answer
  • Select the correct answer from each drop-down menu. observe the functions below. complete the following sentences to compare the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!