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
mel-nik [20]
1 year ago
15

Using the digits 0-9, no more than once, complete the puzzle so that the sum of each side is equivalent.

Mathematics
1 answer:
olga nikolaevna [1]1 year ago
7 0

Answer:

\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}

Step-by-step explanation:

\begin{matrix}a&e&b\\ f&&g\\ c&h&d\end{matrix}

From the table,we can extract these equations:

a + e + b = a + c + f = b + g + d = c + h + d

a + e + b = a + c + f ⇒ e + b = c + f

b + g + d = c + h + d ⇒ b + g = c + h

\begin{Bmatrix}e+b=c+f\\ b+g=c+h\end{Bmatrix} \Longrightarrow g-e=h-f\Longrightarrow g+f=h+e

2 + 3 = 4 + 1 then let’s consider :

e = 2 ; h = 3 ; f = 4 ; g = 1 ,which satisfies g + f = h + e

The table becomes:

\begin{matrix}a&2&b\\ 4&&1\\ c&3&d\end{matrix}

From the equation b + e = c + f we get b + 2 = c + 4 then b = c + 2

If we consider c = 5 ⇒ b = c + 2 = 5 + 2 = 7

Then the table becomes

\begin{matrix}a&2&7\\ 4&&1\\ 5&3&d\end{matrix}

Then a + 9 = d + 8 ⇒ d = a + 1

If we consider a = 8 ⇒ d = 9

\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}

I know it’s not perfect reasoning ,but it may help.

You might be interested in
I need help with this problem it’s due at midnight and I’m so tired of trying. Thanks it’s number 4 btw
bearhunter [10]

Answer:

Look below

Step-by-step explanation:

A.

8 + 9 + 10 = 27

9 + 10 + 11 = 30

10 + 11 + 12 = 33

B. Every answer is divisible by 3, every consecutive answer is also 3 more than the one before it.

C. Yes

19 + 20 + 21 = 60

D. No

8 is not divisible by 3. Also, the closest you can get is 6 (1 + 2 + 3) or 9 (2 + 3 + 4).

I hope this helped! If you need anything else, let me know in the comments. :)

6 0
3 years ago
A random variable x follows a normal distribution with mean d and standard deviation o=2. It is known that x is less than 5 abou
Vaselesa [24]

Answer:

The mean of this distribution is approximately 3.96.

Step-by-step explanation:

Here's how to solve this problem using a normal distribution table.

Let z be the

\displaystyle z = \frac{x - \mu}{\sigma}.

In this question, x = 5 and \sigma = 2. The equation becomes

\displaystyle z = \frac{5 - \mu}{2}.

To solve for \mu, the mean of this distribution, the only thing that needs to be found is the value of z. Since

The problem stated that P(X \le 5) = 69.85\% = 0.6985. Hence, P(Z \le z) = 0.6985.

The problem is that the normal distribution tables list only the value of P(0 \le Z \le z) for z \ge 0. To estimate  z from P(Z \le z) = 0.6985, it would be necessary to find the appropriate

Since P(Z \le z) = 0.6985 and is greater than P(Z \le 0) = 0.50, z > 0. As a result, P(Z \le z) can be written as the sum of P(Z < 0) and P(0 \le Z \le z). Besides, P(Z < 0) = P(Z \le 0) = 0.50. As a result:

\begin{aligned}&P(Z \le z)\\ &= P(Z < 0) + P(0 \le Z \le z) \\ &= 0.50 + P(0 \le Z \le z)\end{aligned}.

Therefore:

\begin{aligned}&P(0 \le Z \le z) \\ &= P(Z \le z) - 0.50 \\&= 0.6985 - 0.50 \\&=0.1985 \end{aligned}.

Lookup 0.1985 on a normal distribution table. The corresponding z-score is 0.52. (In other words, P(0 \le Z \le 0.52) = 0.1985.)

Given that

  • z = 0.52,
  • x =5, and
  • \sigma = 2,

Solve the equation \displaystyle z = \frac{x - \mu}{\sigma} for the mean, \mu:

\displaystyle 0.52 = \frac{5 - \mu}{2}.

\mu = 5 - 2 \times 0.52 = 3.96.

3 0
3 years ago
The ratio of the angle measures of a triangle is 1:1:4. Classify the triangle by its angles.
IRINA_888 [86]
I think it would be obtuse triangle
5 0
3 years ago
HELP PLS!!!!!!!!!! you get 5 pointsssssss PLS I BEG QUICK!!!!!
STALIN [3.7K]

Answer:

6.5 mph

Step-by-step explanation:

Pace per mile

09 : 13.85

min : sec

Speed

0.1083 miles per minute

=

6.5 miles per hour

7 0
2 years ago
Read 2 more answers
Please help i dont understand what its asking
Arisa [49]

Multiply both the numerator and denominator by 2+\sqrt3, which is called the "conjugate" of 2-\sqrt3:

\dfrac{5+\sqrt3}{2-\sqrt3}\cdot\dfrac{2+\sqrt3}{2+\sqrt3}

Why do we pick this number? Recall the difference of squares factorization:

a^2-b^2=(a-b)(a+b)

Now replace a=2 and b=\sqrt3. Then

(2-\sqrt3)(2+\sqrt3)=2^2-(\sqrt3)^2=4-3=1

So in your fraction, you end up with

\dfrac{5+\sqrt3}{2-\sqrt3}=\dfrac{(5+\sqrt3)(2+\sqrt3)}1=(5+\sqrt3)(2+\sqrt3)

Finally, just expand the product.

(5+\sqrt3)(2+\sqrt3)=10+7\sqrt3+(\sqrt3)^2=\boxed{13+7\sqrt3}

7 0
2 years ago
Other questions:
  • Four siblings have a dog walking business. The table shows the hours worked by each sibling. Each sibling earns $25.50 per hour
    15·2 answers
  • Sue has 3 apples. Jim has<br> 4 oranges. Which child has an<br> even number of items?
    15·1 answer
  • Suppose that you are to make a rectangular box with a square base from two different materials. The material for the top and fou
    9·1 answer
  • A seal dove 95 meters below the surface of the water to reach a fish. It traveled 18% of the total distance every second.
    10·1 answer
  • What is the median out of 3,5,6,7,9,6,8
    13·2 answers
  • How do you?...<br>Multiply out and simplify 10(2x-1)-20x?
    13·2 answers
  • the local bakery uses 1.75 cups of flour in each batch of cookies. the bakery usee 5.25 cups of flour this morning. How many bat
    15·1 answer
  • Solve −x+5≤4 or 2x+3≥−1. Note: Write the solution in interval notation.
    10·1 answer
  • Instruction
    5·1 answer
  • Rapunzel makes $5.78 per hour. Gretta makes $15.46 per hour. How
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!