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TiliK225 [7]
2 years ago
9

Place the numbers 0 to 8, inclusive, in the magic square so that the sum of the numbers in each row, column, and diagonal is the

same number, 12.
Mathematics
1 answer:
ehidna [41]2 years ago
6 0

Answer: See attached table

Step-by-step explanation:

\begin{table}[]\begin{tabular}{lllll} &  &  &  &  \\ &  &  &  &  \\ &  &  &  &  \\ &  &  &  & \end{tabular}\end{table}+---+---+---+

| 1 | 8 | 2 |

+---+---+---+

| 6 | 4 | 2 |

+---+---+---+

| 5 | 0 | 7 |

+---+---+---+

<u>Proofs:</u>
First row: 1+6+5 = 12

Second row: 8+4+0 = 12

Third row: 2+2+7 = 12

First column: 1+8+2 = 12

Second column: 6+4+2 = 12

Third column: 5+0+7 = 12

Diagonal starting from top left to bottom right: 1+4+7 = 12

Diagonal staring from top right to bottom left: 2+4+5 = 12

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Tatiana [17]

Answer: 103/15

Step-by-step explanation:

We can simplify the right-hand side to be 2 \left(\frac{1}{3}+6 \right)=2 \left(\frac{19}{3} \right)=\frac{38}{3}.

This means we need to solve:

\frac{1}{2}(5x-9)=\frac{38}{3}\\5x-9=\frac{76}{3}\\5x=\frac{103}{3}\\x=\boxed{\frac{103}{15}}

7 0
2 years ago
Which point is on the graph of a direct variation equation in which k=0.4?
vladimir2022 [97]

Answer:

B. (10,4)

Step-by-step explanation:

Let x be the independent variable and y represents the dependent variable in the graph,

∵Graph represents the direct variation,

⇒ y ∝ x

⇒ y = kx

Where, k is the proportionality constant.

Here, k = 0.4,

⇒ Equation that shows in the graph would be,

y = 0.4x

At (4, 10),

10 = 0.4(4) ( False ),

⇒ (4, 10) is not in the graph.

At (10, 4),

4 = 0.4(10) ( True )

⇒ (10, 4) is on the graph.

At (0.04, 10),

10 = 0.4(0.04) ( false )

⇒ (0.04, 10) is not on the graph.

At (10, 0.04),

0.04 = 0.4(10) ( false )

⇒ (10, 0.04) is not on the graph.

8 0
3 years ago
Find the value of please help me​
Llana [10]

Answer:

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6 0
3 years ago
A baseball team played 160 regular season games. the ratio of the number of games they won to the number of games they lost was
timurjin [86]
They won 96 games because 160 divided by 5 is 32. now 32 times 3 equals to 96. :) Hope this helps
6 0
3 years ago
From 5 employees at a company, a group of 3 employees will be chosen to work on a project. How many different groups of 3 employ
Andrei [34K]
Hello,

aPb=b*(b-1)*(b-2)*....*(b-a+1) / a!

3P5=5*4*3/(3*2*1)=10

If we name the number of the employers 1,2,3,4,5

Here are the choices:

123,124,125,134,135,145,234,235,245,345 (total 10 choices)

8 0
3 years ago
Read 2 more answers
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